math is a language because it is a system of communication and use of sounds or symbles. 2.how is math language like a dog language? math language is like dog language because only certain words have a meaning at all.
(1. Why is math a language?
A. Because like english math has a system and you communicate like when you go to a grocery store they tell you how much money they owe you and how much you gave them and we use the sounds and conventional symbols. Because you can say out loud 1+2=3.
(2. How is math like dog language?
A. Because dogs only hear the important things like in math where we only need the important things instead of all the blah blah blah blah blah!
I entered the information but when I clicked on Submit it displayed an error page indicating I need an email and website filled in. I went back to the previous page and all my data was deleted.
1.
Why is math a language?
Math is a language because it meets all the criteria of the definition of a language.
2.
Why is math like dog language?
Dogs only understand a few important words, but they use the ones they know to get the meaning of the sentence. It is the same in math. So, when you learn a few words, you will be able to understand the language.
1)What is the difference in meaning between “less than” and “is less than”?
“IS less than” means that it is less than right now. Just, “Less than” means it is not less than right now.
2)Write a sentence that uses the words at most meaning is less than or equal to.
Jack walks up to his father and sais.’”I am only going to do “at most” the totall of all my school work.”His father sais,”Then “at most” am I going to let you have 3 hours of play time.”
3)Write a sentence that uses the words at least meaning is greater than or equal to.
Jack changes His mind and sais,”I will “at least” do my school work.” His dad replies by saying,”Then I will “at least” give you 3 hours of play time.”
1)What is the difference in meaning between “less than” and “is less than”
“is less than means right now and less than means it is not right now.
2)i’ll will give you at most 5 dollars for a snack and drink.
3)i’ll give you at least one slice of pizza.
1. Why is math a language?
Math is a language because in math all the criteria of a language are met.
2. Why is math like dog language?
Math is like dog language because in dog language, only some words are important and have meaning. It is the same way with math.
1. What is the difference in meaning between “less than” and “is less than”?
“Less than” is subtraction, but “is less than” has nothing to do with subtraction.
2. Write a sentence that uses the words “at most” meaning “is less than or equal to.”
I will spend at most $4 for a pack of gum.
3. Write a sentence that uses the words “at least” meaning “is greater than or equal to.”
I want to be at least 182 years old before I get my first set of dentures.
1. why is math a language? Because it is a systematic means of communication by sounds and symbols.
2. How is math like dog language? Because only some words/symbols are important and have a specific meaning.
1/ What is the difference in meaning between “less than” and “is less than”?
Is less than means right now and less than is in the future or in the past.
2) Write a sentence that uses the words at most meaning is less or equal to.
“Abigal had 10 cents and her friend sydney had 15 cents wich made 25cents which could buy them 1 peice of bubblegum at most.”
3) Write a sentence that uses the words at least meaning is greater than or equal to.
What is the difference between a RATIONAL and IRRATIONAL number?
Rational means it is predictable.(You know what is going to come next.)
Irrational means it is unpredictable.(You don’t know what is going to come next.)
1)Why does it matter whether the ”x” is first in the translation of,”8 less than a number is 24?”
a)It matters whether you put a ”variable” like ‘x’
in the beginning of an algebraic problem or not because, 8 less than a number is ”x-8=12” not ”8-x!”
Sorry. I accidentally posted this on the Algebra place instead of Pre-Algebra! I just found out now. So here are all the questions.
1. What is the difference between “less than” and “is less than”?
If you say “4 less than 6″ that would mean 6 minus 4. But “4 IS less than 6″ would be simply saying that 4 is a smaller number than 6.
2. Write a sentence with the phrase “at most” in it.
The person ran 1 mile, at the most! (I guess he’s not much of a runner.)
3. Write a sentence with the phrase “at least” in it.
I really don’t know how to answer this question; give me AT LEAST a few more days!!!
1. What is the difference between rational and irrational numbers?
_Rational numbers are predictable because you know what is coming next, like .333. Irrational numbers, which is the opposite of that, is unpredictable, like pi. Also rational numbers are numbers that can be a fraction or repeating or terminating decimals, while irrational numbers cannot.
What is the difference between a rational and irrational number?
Rational and irrational numbers are opposites. Rational numbers mean that they are predictable and irrational means that they are not. I can predict what comes after 0.0_
(It is zero). That is rational.
But i can’t predict what comes after this.
3.14159265358979323846264338327950288419716939937510
58209749445923078164062862089986280348253421170679 8214808651 32823066470938446095505__… π (Pi)
That is irrational.
Also numbers that can be a fraction or repeating or terminating decimals are rational numbers while irrational numbers are numbers that do not repeat or terminate. Also, irrational numbers can not be a fraction.
1. Why does it matter whether the x is first in the translation “8 less than x is 24″?
Because in subtraction it is important which is first, unlike addition, and it means take away this much from another number. If you switch that, the answer will most likely be different!
Example: 9 less than x is 18. x is 27. So it would look like this: 27 – 9 = 18. If you didn’t put the x in front then it would be 9 – 27, and that would get a very different difference.
So it is important to put the x first when you are supposed to unless you want the answer to be something else.
Hi Erin.
A midpoint is the point in the middle. Think of 9 being between 8 and 10.
To find a midpoint you add the two numbers and divide by 2.
If it is the midpoint of two points like (4,1) and (-2,3) just add the x’s together and divide by 2 and do the same for the y’s.
That looks like (4 + -2)/2 =1 and (1 + 3)/2 = 2.
So the midpoint of (4,1) and (-2,3) is (1,2)
1. Why is adding integers like gains and losses?
Gains are basically the same as adding. You gain something, and add it to what is already there or what is not there. Losses are like subtracting. You lose something and take away from something.
It is easier to think of adding and subtracting as gains and losses, because gains and losses are much more familiar and you can work with them. Plus, gains and losses are in English, and adding and subtracting are in Math Language!! I think gaining is the translation of adding, and losing the translation of subtraction. So that is why adding integers is like gains and losses.
For example, you can understand gaining weight easily. You have added pounds. But usually that isn’t how you think of it. Losing weight is the same way. You subtract pounds from yourself. It’s much simpler to think of it in gaining and losing. They are basically the same as adding and subtracting, but easier to understand.
1. If a binomial is a polynomial, is a polynomial a binomial?
It can be. A polynomial can mean any of them — monomial, binomial, trinomial. So it could be two. Or it could be three. Or one, or five, or seven thousand and twenty nine.
1. In the equation -2x + 8 = -14, what is happening to the variable?
The variable (x) is being multiplied by -2 and added by 8.
2. Why do you do the order of operations backward when solving an equation?
Because to undo what is being done to the variable you have to do the order of operations backwards (first undo addition and subtraction, then undo multiplication and division).
In the equation {-2x + 8 = -14}, what is happening to
the variable?
In the equation {-2x + 8 = -14}, (X) which is the variable, is being [multiplied] by [-2].
Part II:
Why do you do the order of operations backward when
solving an equation?
It is going to be hard explaining this but here it is:
When there is an equation like: (2x + 8 = 16), 2x =
2*x, which all by itself is one problem, and x + 8 is one problem. So you add first then multiply.
I’m not sure if this is the correct answer or not, so
like I said, this whas a hard question to answer.
Mr. D Math, tell me if this is the correct answer or
not, either this Monday or leave a reply so I can answer it correctly.
In the equation (-2x+8=-14), what is happing to the variable?
In this equation the variable is being multiplied by -2.
Part II:
Why do you do the order of operations backward when solving an equation?
To solve linear and non-linear equations yuo have to Undo what is being done to the variable!
To do this you have to do the order of operations backwards. (not sure if this is right)
TEST- the number must be divisible by three (if the sum of the number is divisible by 3) and by 7 (if you take the last digit off, double it and subtract it from the number – you might have to repeat this step – and the answer is divisible by 7) it is divisible.
EXAMPLE-212,121
212,121 is divisible by 21 because if you add all the digits together you get 9, and if you put 212,121 and take off the last digit and etc. you get 30,303, which is divisible by 7.
TEST:Must be divisible by 6 or 2. (Must be even.)
(Add last two digits together, the SUM must be divisible by 6 or 2.If there is more than 2 digits in the number you are trying to divide by 12, add the last two digits and add the first to it.)
Example: 144 Is divisible by 12 because you add 4 + 4
which = 8, add the 1 in the beginning of the problem,
18! 18 is divisible by 6 and 2.
Here’s another example:108 is divisible by 12 because
0 + 8 = 8, add 1; 18 is divisible by 6 and 2.
Test: Has to be divisible by 8 ( the last 3 numbers have to be divisible by 8)
and 12 (has to be divisible by 3 — the sum of the numbers are divisible by 3 — and 4 — the last 2 numbers are 00 or divisible by 4).
Example:
672 is divisible by 96 because first, it is divisible by 8.
Second, 6 + 7 + 2 = 15, making it divisible by 3.
And third, 72 (the last 2 numbers) are divisible by 4.
Weren’t we supposed to post part 1 of the 4.3 coursework? . . . I hope so, but just to be safe, here it is.
1. Explain how to change a mixed number into an improper fraction.
Step 1: Multiply the denominator (the bottom number) of the fraction to the whole number.
Step 2: Take the product and add it to the numerator (the top number) of the fraction.
Step 3: Take the sum and put it over the original denominator and that is the improper fraction.
2. Explain how to change an improper fraction into a mixed number.
Step 1: Divide the numerator with the denominator.
Step 2: If there is a remainder, put that over the original denominator of the fraction that was divided.
Step 3: Put the quotient and the new fraction (the remainder and the denominator) together, and that is the mixed number.
I didn’t really get what to do with the PLACE VALUE
chart. Could you please tell me what to do as fast as
you can, because I’m trying to finish my test today!
Not to get off the subject but I am doing a drill
sheet, and one of the problems is; (-2) + (+2) = 0.
Doesn’t that equal 4? Because when there are parentheses around a negative number like;(-2),isn’t
the absolute value of negative two positive two? So isn’t it positive two plus positive two which equals
4?
Thanks,
Joshua B.
P.S. Keep in mind, this is a separate math problem. Not one of yours.
I think you have an error in your solutions. Number nine, 6.8 Course work part1 (Page 3) when you wrote that 7% of 4.69=.6566, but I checked with my calculator and it said 0.3283! And oh, the problem said that, “You tell the people they can buy it at 30% off.” At the end though, you said, “When receiving 50%discount.” Just thought you would like to know!
Hey Mr.D. On your video 11.1, when you were demonstrating how to find the square root of 38, which is between 36 & 49, you said that 38 is 9 away from 49, but i’m pretty sure it’s 11 away from 49.I think you should check it out.
Hi Jordan
Our math system uses “conventional” sounds or symbols
What makes something conventional is that we all agree on the meaning. Even though we made it up in the first place. What would it be like if you were told that a tree was called a door?
1) Why is math a language?
Math is a language because its a system that communicates using conventional sounds or symbols.
2) Why is math language like dog language?
Math language is just like dog language because in math we only here the words or numbers with meanings and dogs only hear the words that they know, otherwise they only hear blah blah blah.
1) Is less than means equals less than something. Less than is words that mean subtract.
2) At most you girls are allowed to spend thirty dollars.
3) I will spend at least twenty dollars today.
Think a little more about dog language. It has to do with not all the words humans say to a dog actually mean anything to the dog. Reading a math problem using the English is alot like that. You will be like the dog listening to a human. What’s important what’s not!
Think a little more about dog language. It has to do with not all the words humans say to a dog actually mean anything to the dog. Reading a math problem using the English is alot like that. You will be like the dog listening to a human. What’s important what’s not!
1) Why is math a language?
it’s a language because we can communicates with each other through symbols & sounds
2) Why is math language like dog language?
because dogs only hear the words of important meaning not the useless blah blah blah
Hey Mr.D sorry I got this blog in late (1.2) I had it done but I forgot to put it up on the blog so here it is.
1) What is an operation in math?
Its a action or procedure whitch produces something.
2) Define: Addition?
To count things that are the same.
1 1
3) Why can’t you count these — + — ?
4 5
Because 4 is not the same as 5.
1 2
4) Why can you count these — + — ?
5 5
Because the 5 is the same as the other 5.
5) List 12 words that mean add-
Add,Plus,More,Total,Greater,Bigger,Grow,Up,
Positive,Ascend,Deposit,Increase, and Sum
1. A way to find out how far it is between things. (distance)
2. To take away from something that is already there.
2) List the words that mean subtract-
Descend,Take Away,Down,Smaller,Withdraw, and Decrease.
3) Addition and Subtraction are inverse operations.
———-
4) An inverse means the direction of.
————
5) Counting from left to right now becomes counting from right to left
—— —–
1. why is math a language? math is a language because it uses sounds and symbols.
2. Why is math language like dog language? Dogs only understand a few important words, but they use the ones they know to get the meaning of the sentence. It is the same thing in math, when you learn a few words you will be able to understand the language
why is math a languge? because we communicate by the use of sounds or conventional symbols. why is math language like dog language? because only certain words have any meaning.
A1. Because in math there are various ways to communicate. Weather it’s through numbers, symbols, or actual words, you cant use one without the other. Just like if I were to attempt to speak without any facial expressions it would be hard for the other person to tell what emotion I’m feeling.
Q2. Why is the math language like dog language?
A2. Because cretin things have no meaning what so ever. Therefore they do not kneed to be explained for the whole problem to be understood and answered.
What is an operation? (in math)
An action or procedure which produces something.
Define: Addition- To count things that are the same.
List four words that mean add:
Greater, Grow, Increase, and Plus.
Addition and subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
Define: Subtraction-
1) A wat to find out how far it is between things. (distance)
2) To take away from something that is already their.
List 4 words that mean subtract:
Minus, Decrease, Less, and Take away.
Define: Multiplication- To count things by more than one at a time.
List 5 words that mean multiply:
Multiply, Times, By, Product, and Of
Multiply and divide are inverse operations!
If 18/2 = 9 then 18 x 1/2 = 9
If 50/2 = 25 then 50 x 1/2 = 25
Define: Division- To seperate things into equal groups.
List 6 words that mean divide:
Quotient, Seperate, Cut, Per, Percent, and Ratio.
What is an operation (in math) : A procedure that gives an answer,
Define:Addition: To count things that are the same.
6 words that mean add: Up, increase, ascend, higher, Plus, Grow.
Addition and subtraction are inverse operations.
An inverse is the oppisite of.
Counting from left to right is now counting from right to left.
Subtraction: 1. To take something away. 2. To figure something out.
Subtract: lower, down, minus negative,decrease, take.
Multiplication: to add together in groups.
Multiplication: Times,muliply,of, by , product.
Multiply and dividing are inverse operations.
If 18/2 =9 then 18 times 1/2 = 9
If 50/2 = 25 then 50 x 1/2 = 25
Division: To seperate things into equal groups.
List six words that mean division:
Divide, Cut, Ratio, Per,Separate and Quotient
Define percent: To divide by 100
What is an operation? (in math)
An action or procedure which produces something.
Define: Addition- To count things that are the same.
List 4 words that mean add:
Add, Greater, Increase, and Plus.
Addition and Subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes from right to left.
Define: Subtraction-
1) A way to find out how far it is between things. (distance)
2) To take away from something that is already their.
List 4 words that mean subtract:
Decrease, Minus, Less, and Take away.
Define: multiplication- To count things by more than one at a time.
List 5 words that mean multiply:
Times, Product, Multiply, and By.
Define: Division- To spate things into equal groups.
List 6 words that mean divide:
Separate, Quotient, Per, Cut, Percent, and Racio.
Define: Percent-
Divide by 100.
Equal to and not Equal to:
List 5 words that mean Equal to:
Equal, The same as, Equivalent, Congruent, and Is.
Words that mean Equal to:
What about words being equal in time?
Is- Happening now.
Was- Happening before.
Will be- Happening in the future.
In math what are the only 3 ways numbers are related?
1.Numbers are =
2.It is greater than
3.It is less than
List 6 words (or phrases) that mean not equal to without using the word not:
Is less than, Is less than or equal to, At most, Is greater than, Is greater than or equal to, and Atleast.
Put in the correct Symbol <, , or >=
Not less than means >=
Not less than or equal to means >
Not greater than means <=
Not greater than or equal to means <
Answer these questions:
1) What is the difference in meaning between “less than” and “is less than”?
“less than” means it is equal to something and “is less than” means its not equal to something.
2) Write a sentence that uses the words at most meaning is less than or equal to.
Tina at most I will give you is 10 jelly beans.
3) Write a sentence that uses the words at least meaning is greater than or equal to
Dad I need at least 1o jelly beans for my snack!
An operation (in math) is an action or procedure which produces something.
An operation (in math):
An action or procedure which pruduces something.
Put a +, -, x, or / for each of the following:
Add + bigger + difference -
ascend + smaller – withdraw -
plus + subtract – divide /
decrease – more + up +
cut / increase + quotient /
positive + take away – greater +
product x descend – minus -
grow + deposit + less -
down – product x total +
negative – multiply x times x
seperate / ratio / sum +
If something is not equal to something, then it must be?
It is greater than or it is less than.
Put a >, =, or <= for each of the following:
Is less than <
Is less than or equal to =
Is not less than or equal to >
Is greater than >
Is greater than or equal to >=
Is not greater than >=
Is not greater than or equal to <
At most =
Equal to and not equal to.
Words that mean equal to:
Equal
The same as
Equivelant
Congruent
Is
Words that mean equal to:
What about words being equal in time.
Is: Happening now.
Was: Happening Before.
Will be: Happening In The Future.
In math there are only three ways that numbers are related:
1. Numbers Are Equal.
2. It is greater than
3. It is less than.
List Six Words Or Phrases That Mean Not Equal To Without Using The Word Not.:
Is less than, Is less than or equal to, At most, Is greater than, Is greater than or equal to, and at least.
Put in the correct Symbol =
Not less than means >=
Not less than or equal to means >
Not greater than means <=
Not greater than or equal to means <
1) What is the difference in meaning between “less than” and “is less than”?
“Less than” means subtract. “Is less than” means something is smaller than something else.
2) Write a sentence that uses the words at most meaning is less than or equal to.
Rebbeca the most gummies i will give you is 12
3) Write a sentence that uses the words at least meaning is greater than or equal to
Mom I need at least 70 dollars for the mall!
Q 1. What is the difference in meaning between “Less than” and “Is less than?”
A 1. “Less than” is another word for subtract, meaning that the answer was not yet found. “Is less than” Is a way of saying the answer that which you have given is less then the original amount, which they have supplied you.
Q 2. Write a sentence that uses the words at most meaning is less than or equal to.
A 2. 24,000 is at most what the average American makes in a year.
Q 3. Write a sentence that uses the words at least meaning is greater than or equal to.
A 3. “What is that on the floor? I would like it if you would AT LEAST pick your cloths up OFF THE FLOOR!!!!!!!” (Says mom storming out of my room.)
What is the difference between Rational and Irrational???
1)Rational means Predictable. Rational is when you know the numbert that is next.
2)Irrational means Unpredictable. Irrational is when the numbers could just keep on going and going.
What is the difference in meaning between “less than” and “is less than”?
“less than” means that it is right now, “is less than” means that it isn’t right now
Write a sentence that uses the words at most meaning is less than or equal to.
RJ read for 10min at most.
Write a sentence that uses the words at least meaning is greater than or equal to
RJ biked at least 17 miles today.
Why does it matter whether the “X” is first in the translation 8 less than a number is 24?
Say you were older than 8. You could not work 8 minus a higher number. That is why it is important to put the “X” first.
Hey Mr.D I was not there monday because I was sick (and still am) so for 1.8 is it the same thing as 1.7 because I already did that if it is the same??????????
For some reason I don’t see any of my posts….so I am going to resubmit them in order.
1.1
1) Why is math a language?
It is a system that uses sounds and conventional symbols to communicate.
2) Why is math language like dog language?
Just like a dog only hears what he needs to hear, there are only certain words in math that we need to understand.
1.2
1)What is an operation? (in math)
An action or procedure which produces something.
2)Define: Addition
To count things that are the same.
3)Why can you NOT count these? 1/4 + 2/5
The denominators are not the same
4)Why CAN you count these? 1/5 + 2/5
The denominators are the same
5)List 12 Words that mean add:
Add, Bigger, Ascend, Plus, Grow, Deposit, More, Increase, Total, Positive, Greater, and……. SUM!
1.3
1)What is an operation? (in math)
An action or procedure that produces something.
2)Define: Addition
To count somethings that are the same.
3)List 6 Words that mean add:
Add, Plus, Greater, More, Positive, and …….Sum!
4)Addition and Subtraction are _Inverse_ operations!
5)An inverse means the _Opposite_ of.Counting from left to _right_ now
becomes counting from right to _left_
6)Define: Subtraction
1)A way to find out how far it is between things. (distance)
2)To take from something that is already there. (Subtraction is a thief!)
7)List 10 Words that mean subtract:
Subtract, Take Away, Minus, Less, Negative, Descend, Down, Smaller, Withdraw, and …..
Difference
1.4
1)What is an operation? (in math)
An action or procedure that produces something.
2)Define: Addition
To count things that are the same
3)List 6 Words that mean add:
Increase, Total, Bigger, Grow, Ascend, and …..SUM!
4)Addition and Subtraction are _Inverse_ operations!
5)An inverse means the _Opposite_ of.Counting from left to _right_ now
becomes counting from right to _left_
6)Define: Subtraction
1)A way to find our far it is between things.
2)To take away from something that is already there.
7)List 6 Words that mean subtract:
Minus, Less, Take Away, Down, Subtract, and …….Difference!
8)Define: Multiplication
To add things by more than one at a time.
9)List 5 Words that mean multiply:
Times, Multiply, Of, By, and …..Product!
1.5
1) What is an operation?
An action or procedure which produces something.
2) Define Addition:
To count things that are the same.
3) List four words that mean add:
add, plus, more, SUM!
4) Addition and Subtraction are inverse operations.
Inverse means the opposite of.
Counting from left to right becomes counting from right to left.
5) Define Subtraction:
1) A way to find out how far it is between things
2) To take away from something that is already there.
6) List four words that mean subtract:
subtract, take away, less, DIFFERENCE!
7) Define Multiplication:
To count things by more than one at a time.
8) List words that mean multiply:
multiply, by, of, times, PRODUCT!
9) Multiply and Divide are operations.
If 18/ 2=9
then
18×1/2=9 (I don’t really understand how this works).
If 50/2=25
then
50×1/2=25
10) Define Division:
To separate things into equal groups.
10) divide, cut, ratio, separate, per, QUOTIENT!
11) Define percent: To divide things by one hundred.
1.6
1) What is an operation?
An action or procedure which produces something.
2) Define Addition:
To count things that are the same.
3) List four words that mean add:
add, plus, more, SUM!
4) Addition and Subtraction are inverse operations.
Inverse means the opposite of.
Counting from left to right becomes counting from right to left.
5) Define Subtraction:
1) A way to find out how far it is between things
2) To take away from something that is already there.
6) List four words that mean subtract:
subtract, take away, less, DIFFERENCE!
7) Define Multiplication:
To count things by more than one at a time. List words that mean multiply:
multiply, by, of, times, PRODUCT!
9) Multiply and Divide are operations.
If 18/ 2=9
then
18×1/2=9 (I don’t really understand how this works).
If 50/2=25
then
50×1/2=25
10) Define Division:
To separate things into equal groups.
10) divide, cut, ratio, separate, per, QUOTIENT!
11) Define percent: To divide things by one hundred.
12) List five words that mean equal to:
equal,the same as, equivalent, congruent, IS!
Is: happening now
Was: happening before
Will be: happening in the future
13) In math, what are the only three ways numbers are related?
1) equal
2) greater than
3) less than
14) List six words that mean not equal to:
Is Less Than
Is Less Than or Equal to
At Most
Is Greater Than
Is Greater Than or Equal to
At Least
Answer these questions:1) What is the difference in meaning between “less than” and “is less than”?
Less than means 4 less than 8 = 4; Is less than is stating something .4 IS less than 8
2) Write a sentence that uses the words at most meaning is less than or equal to.
At most I will run is two miles.
3) Write a sentence that uses the words at least meaning is greater than or equal to.
C’mon, at least let mean ride with you.
1. Why is math a language? Math is a language because it uses conventional symbols to communicate with. 2. Why is math language like dog language? Math language and dog language are similar because they both have different words that mean something while other words mean nothing in those languages.
1) What is the difference in meaning between “less than” and “is less than”?
“is less than” means its less right now at this moment right now.
“less than” is just less that not now not ever
the difference: when its happening
2) Write a sentence that uses the words at most meaning is less than or equal to.
“Hi my name is Doug and i will (squirrel!) “at most” mow your lawn for $25 bucks” says Doug to the old man. The old man replies “if you mow my lawn i will “at most” give you $25 dollars.”
3) Write a sentence that uses the words at least meaning is greater than or equal to.
“Kevin “at least” u can help me with moving the house” says Russell. Kevin squawks “i will rest here “at least” a bit longer.”
1) What is the difference in meaning between ” less than” and “is less than”? “Less than” means less than and ” is less than” means less than or equal to.
2)Write a sentence that uses the words at most meaning is less than or equal to. You can have at most, 50 donuts.
3)Write a sentence that uses the words at least meaning is greater than or equal to. I need at least $5 to go to subway.
1) Why is math a language?
Math is a language because IS a systematic means of communicating by use of sounds of conventional symbols. It matches the information given in the definition of a language.
2) How is math language like dog language?
Because like dog language, in math language, only certain words have a meaning.
1.) What is the difference in meaning between “Less than” and “Is less than”?
Is Less than means it’s happening now.
2.) Write a sentence that uses the words at most meaning is less than or equal to.
At most pay me $50 of what you have.
3.) Write a sentence that uses the words at least meaning is greater than or equal to.
At least pay me $50 of what you have:)
1. What is the difference in meaning between ” less than” and ” is less than”?
is less than means happening now and less than means to subtract.
2. Write a sentence that uses the words “at most” meaning is less than or equal to.
i need at most $20 for food.
3. Write a sentence that uses the words “at least” meaning is greater than or equal to.
i need at least $20 for food.
What is the difference between a rational and irrational number?
A rational number is predictable (you know what it coming next).
An irrational number is unpredictable (You do not know what is coming next).
1) Numbers began with counting numbers.
Counting began at the number 1.
The counting numbers are 1,2,3,4,5,6,7,8,9,10,11,12,…
the ….. means they keep going on and on.
2) What is the difference between rational and irrational numbers?
rational numbers are predictable, and irrational numbers are unpredictable.
3) In math, rational means that you know what the next numbers is in a decimal or you can write the number as a fraction of two integers
4) Define natural numbers: the positive counting numbers
5) Define whole numbers: the positive counting numbers and zero
6) Define integers: the negative and positive counting numbers and zero
7) Define rational numbers: any number that can be written as a fraction or any number that can be written as repeating or terminating decimal
8) Define irrational numbers: any number that is a non terminating, non repeating decimal
9) Define real numbers: any number that is a natural, whole, integer, rational or irrational number.
10) If numbers are not real, then they must be imaginary.
Imaginary numbers are not real but they do exist.
11&12) On paper, Not sure how to reproduce charts here.
2.1 Part II- What is the difference between rational and irrational numbers?
Rational numbers are predictable so you know what to expect.
Irrational numbers are, on the other hand, unpredictable.
1) What is the difference between an equation and an expression?
An equation is a complete sentence while an expression is a command.
2) what is a variable?
A variable is something that takes the place of a number in an equation, expression, or inequality.
3) Translate: 4more than a number is 10
more than means add
a number is a variable
is means equal
4+X=10
4) Translate: 5 more than a number is 12
5+X=12
5) Translate: 8 less than a number is 24
less than means subtract
a number means a variable
is means equal
8-X=24
6) 5 less than a number is 12
5-X=12
7) Translate: 4 less than 3 times a number is 10
4-3x=10
8) Translate: twice a number decreased by 12 is the same as the number increased by 8
2x-12=x+8
9) Why does it matter whether “x” is first in the translation of 8 less than a number is 24?
Because it is just like subtraction. You wouldn’t subtract 8 minus a number; you do the number minus 8.
1.What is the difference between an equation and an expression?
An equation is a complete sentence while an expression is a command.
2. Equation: four more that six is ten… 4+6=10
Expression: four more than six… 4+6
3. A variable is something that takes the place of a nuber in an equation, expression or inequality!
4. Translate: 4 more than anumber is 10
more than means add
a number means variable
is means =
5. Translate: 4 more than a number is 10… 4 + x = 10
Translate: 5 + x = 12
6. Translate: 8 less than a number is 24
less than means subtract
a number means variable
is mean =
7. Translate: 5 less than a number is 12
x – 5 – 12
8. Translate: 4 less than 3 times a number is 10
3x – 4 = 10
9. Twice a number decreased by 12 is the same as the number increased by 8.
2x – 12 = x + 8
10. Why does it matter whether the “X” is first in the translation of 8 less than a number is 24? Because it is like when you subtract. You would not do 8 minus the number, you would do the number minus 8.
1) Integers: the positive and negative counting numbers and zero
2) What is a number line?
A line with numbers on it.
3) What is a negative number?
The opposite of a positive number.
4) What is the negative of a negative number?
A positive number.
5) What is absolute value?
The distance of any number from zero.
6) Translate to integers:
A bank withdrawal of 30 dollars:
-30
A loss of 9 pounds:
-9
A gain of 21 yards:
21
3 seconds from liftoff:
-3
2 seconds after liftoff:
2
11 degrees below zero:
-11
Translate into an integers:
A bank withdrawal of $30- -30
A loss of 9pounds- -10
A gain of 21 yards- + 21
3 seconds before liftoff- -3
2 seconds after liftoff- +2
11 degrees below zero- -11
Let’s start with where numbers began! Numbers began with natural Numbers
Let’s start with where numbers began! Numbers began with Counting Numbers Counting began at the number 1
The counting numbers are 1,2,3,4,5,6,7,8,9,10,11,12,… the … means ???
What is the difference between Rational and Irrational Numbers?
Rational means preidctable Irrational means unperidctable
In math, rational means that you know what the next number is in a number ? or you can write the number as a __?_____ of two _____?_____
1/3 is rational because it can be written as a fraction of two integers and as a decimal
s
.3 = .3333333 _3_ as you can predict what is next!
π is irrational because it can not be written as a fraction of two integers and we do not know what comes next in the decimal
π = 3.14159_ What comes next?
By the way:
π=
3.14159265358979323846264338327950288419716939937510582097 4944592307816406286208998628034825342117067982148086513282 3066470938446095505822317253594081284811174502841027019385 2110555964462294895493038196442881097566593344612847564823 3786783165271201909145648566923460348610454326648213393607 2602491412737245870066063155881748815209209628292540917153 64367892… (that means there is even more)
Define: Natural Numbers -
numbers that start with 1
Define: Whole Numbers –
numbers that have a zero in the begining or the end
Because you have a loss of 2 and a gain of 5.
It would be -2 – 5 (negative two minus positive five.)
And this is a gain of 3. The negative is the loss and the positive is the gain.
Remember that Addition and Subtraction are inverse operations.
We can change the Subtraction back to an Addition problem and use the rules for addition!
2 – 7 is the same as 2 + -7
When you use an inverse operation, you change the next number or variable
you see to the opposite of what it is. The – changed to + and the 7 changed to -7
-2 – 7 is the same as -2+-7
When you use an inverse operation, you change the next number or variable you see to the opposite of what it is. The – changed to + and the 7 changed to -7
2 – -7 is the same as 2 + 7
When you use an inverse operation, you change the next number or variable you see to the opposite of what it is. The – changed to + and the -7 changed to 7
-2 – -7 is the same as -2 + 7
When you use an inverse operation, you change the next number or variable you see to the opposite of what it is. The – changed to + and the 7 changed to -7
Why is adding integers like gains and losses?
Because you have a loss of 2 and a gain of 5. Its like someone eating at a buffet.
You get a gain of food, but then you upchuck some of it, so you have a loss of food.
1) The best way to subtract integers is not to.
2) Remember that addition and subtraction are inverse operations.
3) When you use an inverse operation, you change the number or variable you see to the opposite of what it is.
4) Change:
11-18:
11+-18
-11-18:
-11+-18
11–18:
11+18
-11–18:
-11+18
2. Remember that Addition and Subtraction are inverse operations.
3. 2 –7 is the same as 2 + -7
When you use an inverse operations, you change the next number or variable you see to the opposite of what it is. The –changed to + and the 7 changed to -7
4. -2 –7 is the same as -2 + -7
When you use an inverse operation, you change the next number or variable you see to the opposite of what it is. The –changed to + and the 7 changed to -7
1) Multiplying integers is all about odds and evens.
2) In any multiplication problem that involves integers, just count the number of negative signs.
3) An odd number of negative signs makes the answer negative.
An even number of negative signs makes the answer positive.
4) The rules for multiplying integers:
Count the number of negative signs.
If odd, the answer is negative. If even, the answer is positive.
What is the difference between a rational and irrational number? The difference is rational is predictable( you know what is coming) and irrational is unpredictable (you don’t know what comes next).
Q. Why does it matter whether the “x” is first in the translation of 8 less than a number is 24? A. It matters because, 8 less than a number really means, the number, less than eight is twenty-four ( x-8=24). If the x came after the eight, then it would mean 8 less than a number is 24.
Why doos it matter whether the “x” is first in the translation of 8 less than a number is 24?
The “x” matther first in the translation of 8 less then a number is 24 because if you think about your age (above 8) minus the 8 it would make sense but if you put 8 before the “x” is 24 then your problem would be a negative.
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
because your age minus 8. you have to put the x first or else if u put the x second the answer would be negative.
you are on a right track. I would only add that a term is either a number or a product of a number and has one or more variables. Such as 6xy. Here the numerical part of the term is 6, and the term variables are x and y.
Polynomial is something with terms…good job It is an expression which is the sum of terms in the form ax^k. For example: 2x^4 – 7x^3 – 5x + 1 (the symbol ^ means raised to a power)
If a binomial is a polynomial, then is a polynomial abinomial?
Sometimes. Because binomial is two and polynomial is one or more so binomial is sometimes polynomial.
1) What is a term in algebra?
Anything that is separated by a + or – sign.
2) Names for terms:
monomial-one term
binomial-two terms
trinomial-three terms
polynomial-something with terms
3) What are like terms in algebra?
When the variable and the exponent of the variable are the same are the same.
4) Like terms in algebra can be added because you are counting the same thing.
5) 2x+x=3x Why?
Because x=1x so 2x+1x=3x
6) 2x+y=2x+y Why?
Because y is not the same so 2x+y=2x+y
7) a+b=a+b Why?
Because a and b are different so a+b=a+b
8) 4×2+5×2=9×2 Why?
You just add 4 and 5 so it comes out 9×2
9) 2xy2-8xy2+4xy2=-2xy2 Why?
2xy2+-8xy2+4xy2
-8xy2+2xy2=-6xy2
-6xy2+4xy2=-2xy2
10) 3a3b-4ab3=3a3b-4ab3 Why?
Because they are not the same so they stay as they are.
11) If a binomial is a polynomial than a polynomial is a binomial.
Sometimes. Since a binomial is two terms and a polynomial is a term or more, a polynomial can sometimes be a binomial.
We simplify expressions and solve equations!
An equation will have an = sign.
There will be a form of the word is in the problem if it has been written in the English language waiting for translation to Math language.
In this chapter you will be working with linear equations. A linear equation is an equation of a line. You will be graphing lines later in this text series.
A linear equation has 2 things happening:1) There is an = sign. That is the equation piece.
2) The variable will be a 1st power variable. That is what creates a line.
To solve equations both
linear and non-linear here is the rule! UNDO WHAT IS BEING DONE TO THE VARIABLE!
To undo what is being
done to the variale you will do the order of operations backwards.
That means undo addition and subtraction first then undo multiplication and division.
To undo an operation, you use inverse operations!
To undo addition is to add it’s opposite!
Why is getting a zero important?adding 0 to anything gives you what you already have.
By the way to keep things equal when there is an equal sign, what ever you do one side of an equation you must do the same thing to the other side of the equation!
x + 8 = 12 What is happening to the variable?It is being added by 8
.
Solving Linear Equationswith Addition and Subtraction
x + 8 = 12-8 -8
Everything is adding, so this is read 8 + 8
Everything is adding, so this is read 12 + -8
x + -8 = 12 What is happening to the variable?It is being added by -8
x + 8 = -12What is happening to the variable?It is being added by 8.
x + -8 = -12 What is happening to the variable?It is being added by -8.
The selling price of a certain DVD is$8morethanthe price the store paidfor it. The selling priceis$18. What is the price the store paid for the DVD?
selling price = 8 + price store paid.
1) What does distribute mean?
To give to separate things equally.
2) The distributive property is one of the most common properties in Algebra.
We have already been using it.
3) Remember
24*7=7(20+4)
4) -(x-3)
This means the opposite of or distribute the negative.
1) We simplify expressions and equations.
An equation will have an = sign.
There will be a form of the word is in the problem if it has been written in the English language waiting for transition to math language.
2) In this chapter we will be working with linear equations. A linear equation is an equation of a line. We will be graphing lines later in this text series.
A linear equation has two things happening:
1) There is an = sign. This is the equation piece.
2) The variable will be a first power variable. This is what creates a line.
3) To solve equations both linear and non-linear here is the rule:
UNDO WHAT IS BEING DONE TO THE VARIABLE!
4) To undo what is being done to the variable you will do the order operations backwards.
5) That means undo addition and subtraction first then undo multiplication and division.
6) To undo an operation, you use inverse operations.
7) To undo addition is to add it’s opposite.
8) Why is getting a zero so important?
Adding zero to anything gives you what you already have.
9) By the way, to keep things equal when there is an equal sign, what ever you do one side of an equation you must do the same thing to the other side of the equation.
10) x+8=12
What is happening to the variable? It is being added by 8
11) Everything is adding so this is read -8+8 x=8=12 Everything is adding so this is read 12+-8
12) The selling price of a certain DVD is 8$ more than the price the store paid for it. The selling price is 18$. What is the price the store paid for the DVD?
What is the question?
what are the math words and numbers?
selling price=8+price store paid.
To solve equations both
linear and non-linear here is the rule!UNDO what is being done to the VARIABLE!
To undo an operation, you use inverse operations!
To undo multiplication, you use division! To undo division, you use multiplication!
To undo multiplication, you divide!
Why is getting a one important?
1:) =
Multiplying 1 by anything gives you what you already have.
8x = 24
What is happening to the variable?It is being multiplide by 8.
Solving Linear Equationswith Multiplication and Division
8x= 248 8
A fraction bar is a division sign.
-8x = 24
What is happening to the variable?It is being multiplide by -8.
To undo division, you multiply!
If a variable is being divided by 8 you multiply by 8!Start with x8.
x= 3 8 0
What is happening to the variable?
It is being multiplide by 8.
The area of a parallelogram =the base times the height. If the area of a parallelogram is 60 and the heightis 15, what is the base of the parallelogram?
What are the math words and numbers?
Area = Base x Height
A = bh
or bh= A
Part I
In the equation -2x + 8 = -14, what is happening to the variable?
It is being multiplied by -2 and added by 8.
Part II
Why do you do the order of operations backward when solving an equation?
Because, if you did not do it backwards then you would get a big crazy and wacky answer and those are not the rules.
1) To solve equations both linear and non-linear, here is the rule:
UNDO WHAT IS BEING DONE TO THE VARIABLE!
2) To undo an operation, you use inverse operations.
3) To undo multiplication, you use division.
To undo division, you use multiplication.
4) To undo multiplication, you divide.
5) Why is getting a one so important?
Multiplying one by anything gives you what you already had.
6) 8x=24
What is happening to the variable?
It is being multiplied by 8.
7) A fraction bar is a divide sign.
8) -8x=24
What is happening to the variable?
It is being multiplied by -8.
9) To undo division, you multiply.
10) If a variable is being divided by 8 you multiply by 8.
11) x/8=3
What is happening to the variable?
It is being divided by 8.
12) The area of a parallelogram = the base times the height. If the area of a parallelogram is 60 and the height is 15, what is the base of the parallelogram?
What is the question?
What are the math words and numbers?
Area=base times height
A=900
or
bh=900
1) In the equation -2x+8=-14, what is happening to the variable?
It is being multiplied by -2 and added by 8.
2) Why do we do the order of operations backward when solving an equation?
Because it is a much simpler way to figure out operations like the ones we are learning. Plus we will get a ridiculous answer like -9563259474287568561341 or some thing like that and that is not good.
You have started a business selling Mr. D Math T-Shirts! You sell the shirts for $12 each but it costs $112 to buy the T-Shirt printing equipment and costs $4 for each shirt to print the shirt. HOME MANY SHIRTS WILL YOU HAVE TO SELL BEFORE YOU BREAK EVEN?
You have started a business selling Mr. D Math T-Shirts! You sell the shirts for $12 each but it costs $112 to buy the T-Shirt printing equipment and costs $4 for each shirt to print the shirt. How many shirts will you have to sell before you break even?
14 shirts
1) To solve equations both linear and non-linear here is the rule:
UNDO WHAT IS BEING DONE TO THE VARIABLE.
2) What if an equation has variables on both sides of the = sign 12x-8=7x+7
Bring the smaller x to the bigger x.
3) 12x –8 = 7x + 7-7x -7x
Add the negative of 7x. Notice the x is moving with the 7!
4) You have started a business selling Mr. D Math T-Shirts! You sell the shirts for $12 each but it costs $112 to buy the T-Shirt printing equipment and costs $4 for each shirt to print the shirt. How many shirts will you have to sell before you break even?What is the question?(break even means when the sales = costs)
point out the math words and numbers.
12x = 112 + 4x
-4x -4x
8x = 112
8 8
1x = 14
X =14
14 shirts
1) What is a factor? A divisible part of a number or expression.
Divisible means something that can be divided with no remainder.
2) What is a prime number? A number that can only be divided by one and itself.
3) What is a prime factor? A divisible part of a number that can only be divided by one and itself.
4) What numbers from one to one hundred are prime numbers?
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97
5) What is a composite number? A composite number is a number that can be divided by more than one and itself.
6) Tests for divisibility
2
The number being divided must be even (the last digit)
12, 24, 30 and 100 can all be divided by 2 because they are even numbers
3
If the sum of the digits can be divided by 3, then the number can be divided by 3 too
42 can be divided by 3 because
4+2 = 6 and 3 goes into 6, so 3 goes into 42
4
If the last two digits of the number can be divided by 4, then the number can be divided by 4 too
124 can be divided by 4 because the last two digits 24 can be divided by 4, so 4 goes into 124
5
The number must end in 5 or 0
25, 130, 205 all end in either 5 or 0, so 5 can go into them
6
The number must be even and divisible by 3
84 can be divided by 6 because 84 is even and 8+4=12 which makes it divisible by 3
8
If the last three digits of the number can be divided by 8, then the number can be divided by 8
1888 can be dividedby 8 because the last three digits 888 can be divided by 8, so 8 goes into 1888
9
If the sum of the digits can be divided by 9, then the number can be divided by 9
756 can be divided by 9 because 7+5+6=18 and 9 goes into 18, so 9 goes into 108
10
The number must end in zero
20, 300, 40,50 can all be divided by 10 because they all end in zero
25
The last two digits must end in 00, 25, 50 or 75. Think of money!
225, 300, 1475 and 950 all end in either 00, 25, 50 or 75
7) This is my own rule
11
The last two digits must be the same
22, 33, and 111 can all be divided by 11 because their last two digits are the same
1) Why is math a language?
Math is a language because it has it’s own system of communication using sounds and symbols.
2) Why is math like dog language?
Math is like dog language because if you say something to your dog it only hears the important things, in math all we need to know is the important things and cut out all of the blah blah blah blah!
number test example
48 must be divisible by 336-> for 6 it’s even and divisible by 3,
6 and 8 for 8 the last three digits are able to be
divisible by 8
What is the difference in meaning between “less than” and “is less than “?
If you say ” 10 less than 5 ” that could mean 10 minus 5 but 5 is less than 10″ would be simply saying that 5 is a smaller number than 10.
Write a sentence that uses the word at the most.
The guy ran 2 miles at the most.
Write a sentence that uses the words at the least.
Give me at last 3 more days to study.
mr d in 6.2 question 3 it says a mixture contains water,juice and soda in the ratio of 3:6:7. if the mixture contains 32 pounds, how many pounds of rice,wheat and corn dose it contain.
witch of the six are the reel ones.
Part I
In the equation -2x + 8 = -14, what is happening to the variable?x is being added by 8.
Part II
Why do you do the order of operations backward when solving an equation? Because to solve linear equations undo what is being done to the variable.
Comments on: "Pre-Algebra Course Work" (374)
1.why is math a language?
math is a language because it is a system of communication and use of sounds or symbles. 2.how is math language like a dog language? math language is like dog language because only certain words have a meaning at all.
(1. Why is math a language?
A. Because like english math has a system and you communicate like when you go to a grocery store they tell you how much money they owe you and how much you gave them and we use the sounds and conventional symbols. Because you can say out loud 1+2=3.
(2. How is math like dog language?
A. Because dogs only hear the important things like in math where we only need the important things instead of all the blah blah blah blah blah!
I entered the information but when I clicked on Submit it displayed an error page indicating I need an email and website filled in. I went back to the previous page and all my data was deleted.
My Dad saw me enter the correct answers, he is the one typing in the replies so I can move along to the next section.
1.
Why is math a language?
Math is a language because it meets all the criteria of the definition of a language.
2.
Why is math like dog language?
Dogs only understand a few important words, but they use the ones they know to get the meaning of the sentence. It is the same in math. So, when you learn a few words, you will be able to understand the language.
1)What is the difference in meaning between “less than” and “is less than”?
“IS less than” means that it is less than right now. Just, “Less than” means it is not less than right now.
2)Write a sentence that uses the words at most meaning is less than or equal to.
Jack walks up to his father and sais.’”I am only going to do “at most” the totall of all my school work.”His father sais,”Then “at most” am I going to let you have 3 hours of play time.”
3)Write a sentence that uses the words at least meaning is greater than or equal to.
Jack changes His mind and sais,”I will “at least” do my school work.” His dad replies by saying,”Then I will “at least” give you 3 hours of play time.”
1)What is the difference in meaning between “less than” and “is less than”
“is less than means right now and less than means it is not right now.
2)i’ll will give you at most 5 dollars for a snack and drink.
3)i’ll give you at least one slice of pizza.
1. Why is math a language?
Math is a language because in math all the criteria of a language are met.
2. Why is math like dog language?
Math is like dog language because in dog language, only some words are important and have meaning. It is the same way with math.
1. What is the difference in meaning between “less than” and “is less than”?
“Less than” is subtraction, but “is less than” has nothing to do with subtraction.
2. Write a sentence that uses the words “at most” meaning “is less than or equal to.”
I will spend at most $4 for a pack of gum.
3. Write a sentence that uses the words “at least” meaning “is greater than or equal to.”
I want to be at least 182 years old before I get my first set of dentures.
Haha, Good luck with the dentures!!!
Natalie
1. why is math a language? Because it is a systematic means of communication by sounds and symbols.
2. How is math like dog language? Because only some words/symbols are important and have a specific meaning.
1/ What is the difference in meaning between “less than” and “is less than”?
Is less than means right now and less than is in the future or in the past.
2) Write a sentence that uses the words at most meaning is less or equal to.
“Abigal had 10 cents and her friend sydney had 15 cents wich made 25cents which could buy them 1 peice of bubblegum at most.”
3) Write a sentence that uses the words at least meaning is greater than or equal to.
“There were at least 40 people on the plane.”
Bethany E.
What is the difference between a RATIONAL and IRRATIONAL number?
Rational means it is predictable.(You know what is going to come next.)
Irrational means it is unpredictable.(You don’t know what is going to come next.)
1) What is the difference between a rational and irrational number?
A. Rational numbers are like 1/3 and 2.5 and Irrational numbers are the square root of 12 and pie (dont have those symbols =))
Bethany E.
1)Why does it matter whether the ”x” is first in the translation of,”8 less than a number is 24?”
a)It matters whether you put a ”variable” like ‘x’
in the beginning of an algebraic problem or not because, 8 less than a number is ”x-8=12” not ”8-x!”
What is the differance between rational an irrational numbers?
Rational numbers are predictable and irrational numbers are unpredictable.
1)Why is adding integers like “gains” and “losses?”
a)Adding integers is like “gains” and “losses” because, for example;+7(positive seven) is “gaining”
and -7(negative seven) is “losses.”
Sorry. I accidentally posted this on the Algebra place instead of Pre-Algebra! I just found out now. So here are all the questions.
1. What is the difference between “less than” and “is less than”?
If you say “4 less than 6″ that would mean 6 minus 4. But “4 IS less than 6″ would be simply saying that 4 is a smaller number than 6.
2. Write a sentence with the phrase “at most” in it.
The person ran 1 mile, at the most! (I guess he’s not much of a runner.)
3. Write a sentence with the phrase “at least” in it.
I really don’t know how to answer this question; give me AT LEAST a few more days!!!
1. What is the difference between rational and irrational numbers?
_Rational numbers are predictable because you know what is coming next, like .333. Irrational numbers, which is the opposite of that, is unpredictable, like pi. Also rational numbers are numbers that can be a fraction or repeating or terminating decimals, while irrational numbers cannot.
What is the difference between a rational and irrational number?
Rational and irrational numbers are opposites. Rational numbers mean that they are predictable and irrational means that they are not. I can predict what comes after 0.0_
(It is zero). That is rational.
But i can’t predict what comes after this.
3.14159265358979323846264338327950288419716939937510
58209749445923078164062862089986280348253421170679 8214808651 32823066470938446095505__… π (Pi)
That is irrational.
Also numbers that can be a fraction or repeating or terminating decimals are rational numbers while irrational numbers are numbers that do not repeat or terminate. Also, irrational numbers can not be a fraction.
Why does it matter if the “x” is first in the translation of 8 less than a numbr is 24?
This matters because 8 is less than 24,it’s like “x-8=24″,and it dosnt go”8-x”
1. Why does it matter whether the x is first in the translation “8 less than x is 24″?
Because in subtraction it is important which is first, unlike addition, and it means take away this much from another number. If you switch that, the answer will most likely be different!
Example: 9 less than x is 18. x is 27. So it would look like this: 27 – 9 = 18. If you didn’t put the x in front then it would be 9 – 27, and that would get a very different difference.
So it is important to put the x first when you are supposed to unless you want the answer to be something else.
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
Well, it matters where you put the numbers in subtraction. If you did it backwards, it would be:
8- ? = 24
? = -16
That works! But it is a different answer. It is not the same as:
? – 8 = 24
?=32
It matters because if you don’t obey the math rules, then you will get the wrong answer.
So make sure that it is x-8, not 8-x.
How do you determine a midpoint?
Hi Erin.
A midpoint is the point in the middle. Think of 9 being between 8 and 10.
To find a midpoint you add the two numbers and divide by 2.
If it is the midpoint of two points like (4,1) and (-2,3) just add the x’s together and divide by 2 and do the same for the y’s.
That looks like (4 + -2)/2 =1 and (1 + 3)/2 = 2.
So the midpoint of (4,1) and (-2,3) is (1,2)
Have a great weekend!
Mr. D
Why is adding intigers like gains and losses?
Because when you add things you are gaining things,
and when you subtract things you are loseing things.
1. Why is adding integers like gains and losses?
Gains are basically the same as adding. You gain something, and add it to what is already there or what is not there. Losses are like subtracting. You lose something and take away from something.
It is easier to think of adding and subtracting as gains and losses, because gains and losses are much more familiar and you can work with them. Plus, gains and losses are in English, and adding and subtracting are in Math Language!! I think gaining is the translation of adding, and losing the translation of subtraction. So that is why adding integers is like gains and losses.
For example, you can understand gaining weight easily. You have added pounds. But usually that isn’t how you think of it. Losing weight is the same way. You subtract pounds from yourself. It’s much simpler to think of it in gaining and losing. They are basically the same as adding and subtracting, but easier to understand.
1.If a “binomial” is a “polynomial”, then is a polynomial a binomial?
a)If a “monomial” is a “polynomial”, and a
“polynomial” is a “monomial” (sometimes), then a
“polynomial” is a “binomial” [(sometimes)].
1.If a “binomial” is a “polynomial”, then is a polynomial a binomial?
polynomial can be a binomial sometimes.
1. If a “Binomial” is a “Polynamial” then is a polynomial a binomial?
A. Sometimes.. Because a monomial is always a polynomial but a polynomial can have one or more terms!
Bethany E.
If a Binomial is a polynomial, then is a polynomial a binomial?
sometimes because a binomial is always a polyomial but a polyomial can have more than one term!!!!!!!!!!!!!!!!
1. If a binomial is a polynomial, is a polynomial a binomial?
It can be. A polynomial can mean any of them — monomial, binomial, trinomial. So it could be two. Or it could be three. Or one, or five, or seven thousand and twenty nine.
1. In the equation -2x + 8 = -14, what is happening to the variable?
The variable (x) is being multiplied by -2 and added by 8.
2. Why do you do the order of operations backward when solving an equation?
Because to undo what is being done to the variable you have to do the order of operations backwards (first undo addition and subtraction, then undo multiplication and division).
Part I:
In the equation {-2x + 8 = -14}, what is happening to
the variable?
In the equation {-2x + 8 = -14}, (X) which is the variable, is being [multiplied] by [-2].
Part II:
Why do you do the order of operations backward when
solving an equation?
It is going to be hard explaining this but here it is:
When there is an equation like: (2x + 8 = 16), 2x =
2*x, which all by itself is one problem, and x + 8 is one problem. So you add first then multiply.
I’m not sure if this is the correct answer or not, so
like I said, this whas a hard question to answer.
Mr. D Math, tell me if this is the correct answer or
not, either this Monday or leave a reply so I can answer it correctly.
Joshua B.
In the equation (-2x+8=-14), what is happing to the variable?
In this equation the variable is being multiplied by -2.
Part II:
Why do you do the order of operations backward when solving an equation?
To solve linear and non-linear equations yuo have to Undo what is being done to the variable!
To do this you have to do the order of operations backwards. (not sure if this is right)
number-15
Test- It is divisible by 3 and 5.
Example- 90-ends in 0 and 9+0=9 which is divisible by 3.
My number is 21.
TEST- the number must be divisible by three (if the sum of the number is divisible by 3) and by 7 (if you take the last digit off, double it and subtract it from the number – you might have to repeat this step – and the answer is divisible by 7) it is divisible.
EXAMPLE-212,121
212,121 is divisible by 21 because if you add all the digits together you get 9, and if you put 212,121 and take off the last digit and etc. you get 30,303, which is divisible by 7.
OOPS! I mean If you take off the last digit etc. You get 21, not 30303. hehe sorry about that.
My number is 12.
TEST:Must be divisible by 6 or 2. (Must be even.)
(Add last two digits together, the SUM must be divisible by 6 or 2.If there is more than 2 digits in the number you are trying to divide by 12, add the last two digits and add the first to it.)
Example: 144 Is divisible by 12 because you add 4 + 4
which = 8, add the 1 in the beginning of the problem,
18! 18 is divisible by 6 and 2.
Here’s another example:108 is divisible by 12 because
0 + 8 = 8, add 1; 18 is divisible by 6 and 2.
Number: 96
Test: Has to be divisible by 8 ( the last 3 numbers have to be divisible by 8)
and 12 (has to be divisible by 3 — the sum of the numbers are divisible by 3 — and 4 — the last 2 numbers are 00 or divisible by 4).
Example:
672 is divisible by 96 because first, it is divisible by 8.
Second, 6 + 7 + 2 = 15, making it divisible by 3.
And third, 72 (the last 2 numbers) are divisible by 4.
AHH! What happened! That smiley face was supposed to be an “8″ and then a “)”!!
I like the way math is taught here – Joshua loves his math!
Hi Heidi,
I am delighted to hear that…
Even more to see Joshua doing so well…He is fun to work with!
Have a great weekend,
Mr. D
Weren’t we supposed to post part 1 of the 4.3 coursework? . . . I hope so, but just to be safe, here it is.
1. Explain how to change a mixed number into an improper fraction.
Step 1: Multiply the denominator (the bottom number) of the fraction to the whole number.
Step 2: Take the product and add it to the numerator (the top number) of the fraction.
Step 3: Take the sum and put it over the original denominator and that is the improper fraction.
2. Explain how to change an improper fraction into a mixed number.
Step 1: Divide the numerator with the denominator.
Step 2: If there is a remainder, put that over the original denominator of the fraction that was divided.
Step 3: Put the quotient and the new fraction (the remainder and the denominator) together, and that is the mixed number.
Hey Mr.D,
I didn’t really get what to do with the PLACE VALUE
chart. Could you please tell me what to do as fast as
you can, because I’m trying to finish my test today!
Thanks,
Joshua B.
Hi.josh. Check your email. You do not need chart for test. That is for next week
Mr. D
The bonus question ‘ ‘ is for next week?I thought it was part of the test.
Can you please call me so I can get this strait because I’m confused. I thought you said that this chart was a bonus for the test.
Thanks,
Joshua B.
Hey Mr.D,
Not to get off the subject but I am doing a drill
sheet, and one of the problems is; (-2) + (+2) = 0.
Doesn’t that equal 4? Because when there are parentheses around a negative number like;(-2),isn’t
the absolute value of negative two positive two? So isn’t it positive two plus positive two which equals
4?
Thanks,
Joshua B.
P.S. Keep in mind, this is a separate math problem. Not one of yours.
Hi Joshua,
if it is in () then that is parentheses. So the negative stays negative. Then -2 + 2 does = 0
Absolute value will have | | around the number
(-2) = -2
|-2| = 2
Mr. D
Hi Joshua,
if it is in () then that is parentheses. So the negative stays negative. Then -2 + 2 does = 0
Absolute value will have | | around the number
(-2) = -2
|-2| = 2
Mr. D
Are we supposed to do 5.4-5.6?
Hey Mr.D,
I think you have an error in your solutions. Number nine, 6.8 Course work part1 (Page 3) when you wrote that 7% of 4.69=.6566, but I checked with my calculator and it said 0.3283! And oh, the problem said that, “You tell the people they can buy it at 30% off.” At the end though, you said, “When receiving 50%discount.” Just thought you would like to know!
Shalom,
Joshua
By the way its 11:41a.m., not 4:36p.m.
Hey Mr.D. On your video 11.1, when you were demonstrating how to find the square root of 38, which is between 36 & 49, you said that 38 is 9 away from 49, but i’m pretty sure it’s 11 away from 49.I think you should check it out.
Thanks,
Joshua
Math is a language because it is a system that communicates by using symbols and/or sounds.
Math language is like dog language because only certain words have meaning.
Hi Morgan…
Nice to meet you from the virtual world.
I am hoping you find this method of learning to make a huge difference for you!
Mr. D
1) Why is math a language?
Because its a systematic means of communication by the use of sounds or conventional.
2) Why is math language like dog language?
Because just like a dog language in math language only certain words have any meaning at all.
Hi Anna,
Very good…it is just that easy!
Thank you for being in the class, you will love math this year!
thanks for having me this year
Why is math a language?
it is a system that communicates with sounds or symbols
Why is math language like a dog language?
only certain words have meaning and knowing those words you can speak the language
Hi Jordan
Our math system uses “conventional” sounds or symbols
What makes something conventional is that we all agree on the meaning. Even though we made it up in the first place. What would it be like if you were told that a tree was called a door?
Mr. D
1) Why is math a language?
Math is a language because its a system that communicates using conventional sounds or symbols.
2) Why is math language like dog language?
Math language is just like dog language because in math we only here the words or numbers with meanings and dogs only hear the words that they know, otherwise they only hear blah blah blah.
Hi Sydney!
This looks great
Its just that easy…
Have fun with 1.2 and 1.3
Mr. D
Hey Mr. D am i suppose to blog the addition i did for 1.2 or just the questions
Blog when it asks you to…just the part II section
Where do I find the course work for pre-algebra 1.2?
Hi Jordan
Did you find the course work?
1) Is less than means equals less than something. Less than is words that mean subtract.
2) At most you girls are allowed to spend thirty dollars.
3) I will spend at least twenty dollars today.
Very good!
We will be working with “is less than” soon!
I was not sure if my first question was correct. Please get back with me on that one.
Looking good!
Why is Math a language?
Math is a language because it has letters and symbols.
Why is math like dog language?
Because only some symbols are important and others are not as important
Hi Kaley
Think a little more about dog language. It has to do with not all the words humans say to a dog actually mean anything to the dog. Reading a math problem using the English is alot like that. You will be like the dog listening to a human. What’s important what’s not!
Glad you found your way here so quickly!
Mr. D
Why is math a language?
math is a language because it has sounds and symbols.
why is math like dog language?
math is like a dog language because people dont have to know all the symbols.
Hi RJ,
Think a little more about dog language. It has to do with not all the words humans say to a dog actually mean anything to the dog. Reading a math problem using the English is alot like that. You will be like the dog listening to a human. What’s important what’s not!
Mr. D
are my answers right?
Found the course work and have all the problems done on paper. How do I send to you?
(That was from Jordan S.)
Hi Jordan,
If you have checked it, you have 100%.
Next time you can also cut and paste the questions then answer everything right on your post.
Mr. D
1) Why is math a language?
it’s a language because we can communicates with each other through symbols & sounds
2) Why is math language like dog language?
because dogs only hear the words of important meaning not the useless blah blah blah
How great to be able to hear the difference between what is useless and what is not. That is our job this year!
Have a great weekend!
Q.Why is math a language?
A.Becaus it uses sounds and symbols to comunicate
Q.Why is math like dog language?
A.math is like dog language Because we only hear the inportant words not the useles ones
Hi David
Perfect answers!
Our job this year is to learn to hear the difference between what is useless and what is not.
See you next week!
Mr. D
1) addition and subtraction are inverse operations.
2) an inverse means the direction of.
3) what is subtraction? subtraction is one number taken away from another.
4) list 10 words that mean subtract. subtract, minus, less, negative, descend,
take away, down, smaller, withdraw, and decrease
Hi Jordan
Excellent!
Assignment complete
The inverse means the opposite of.
Mr. D
Hey Mr.D sorry I got this blog in late (1.2) I had it done but I forgot to put it up on the blog so here it is.
1) What is an operation in math?
Its a action or procedure whitch produces something.
2) Define: Addition?
To count things that are the same.
1 1
3) Why can’t you count these — + — ?
4 5
Because 4 is not the same as 5.
1 2
4) Why can you count these — + — ?
5 5
Because the 5 is the same as the other 5.
5) List 12 words that mean add-
Add,Plus,More,Total,Greater,Bigger,Grow,Up,
Positive,Ascend,Deposit,Increase, and Sum
No worries Anna
Thanks for getting it done!
It may even be better, you get to keep hearing these fun math words over and over…
Mr. D
1) Define: Subtraction?
1. A way to find out how far it is between things. (distance)
2. To take away from something that is already there.
2) List the words that mean subtract-
Descend,Take Away,Down,Smaller,Withdraw, and Decrease.
3) Addition and Subtraction are inverse operations.
———-
4) An inverse means the direction of.
————
5) Counting from left to right now becomes counting from right to left
—— —–
Sorry Mr. D the lines got messed up. It was supposed to underline
Inverse,Direction,Right, and Left
We will also think of inverse as “the opposite of”
Mr. D
Which definition of subtraction do you like better?
I like the distance definition myself
Mr. D
1) What is an operation? (in math)
An operation in math is an action or procedure which produces something.
2) Define: Addition- To count things that are the same.
3) Why can you not count these? 1/4 + 2/5
Four and five are not the same.
4) Why can you count these? 1/5 + 2/5
The denominators are the same.
5) List 12 words that mean add:
Add, Plus, More, Total, Greater, Ascend,
Deposit, Increase, Bigger, Grow, Up, and Positive.
Excellent Sydney!
Are you noticing this is becoming a part of your language?
Mr. D
yes!
1. why is math a language? math is a language because it uses sounds and symbols.
2. Why is math language like dog language? Dogs only understand a few important words, but they use the ones they know to get the meaning of the sentence. It is the same thing in math, when you learn a few words you will be able to understand the language
HI Emma,
You have got it!
Excellent thinking.
Mr. D
1) What is an operation in math?
An action or procedure which produces something.
2) Define: Addition- To count things that are the same.
3) List 6 words what mean add:
Plus, More, Greater, Grow, Increase, and Up.
4) An inverse means the opposite of.
5) Counting from left to right now becomes counting from right to left.
define: subtraction-
1) A way to find out how far it is between thing. (distance)
2) To take from something that is already there.
List 10 words that meann subtract:
Subtract, Minus, Less, Negative, Descend, Takeaway, Down, Smaller, Withdraw, Decrease, and Difference.
You are right on again!
Mr. D
Thank you!
Why is math a language?~ Math is a language because we commumicate by sounds or conventional symbols.
Why is math like a dog language? Math is like a dog language because certain words has a meaning to it.
Hi Jessica,
That is exactly right!
Mr. D
why is math a languge? because we communicate by the use of sounds or conventional symbols. why is math language like dog language? because only certain words have any meaning.
Hi Sarah,
You got it!
Nice work!
Mr. D
1. Why is math a language?
Because it communicates in sounds and symbols.
2. Why is math language like dog language?
Because we only know half of what they are saying.
Hi Laura
I like your answer to the dog language questions. We will looking at that half this that we don’t know what we are saying!
Mr. D
1.2
what is a operation?
an operation is when you add,subteract,multiply and divid two or more numbers
difine—– addition to put stuf together
twelve words that mean add
Add Plus More Total Positive Greater
Bigger Ascend Grow Deposit Up Increase
i don’t know the answers to three and for four?
If you look on the notes, it will tell you!
Here’s a hint – it has something to do with whether or not they are the same kind of fraction!
Mr. D
Mr.D math are we doing 1.1 1.2 and 1.3 this weak
Hi David,
Yes
1.1
1.2
1.3
Q1. Why is math a language?
A1. Because in math there are various ways to communicate. Weather it’s through numbers, symbols, or actual words, you cant use one without the other. Just like if I were to attempt to speak without any facial expressions it would be hard for the other person to tell what emotion I’m feeling.
Q2. Why is the math language like dog language?
A2. Because cretin things have no meaning what so ever. Therefore they do not kneed to be explained for the whole problem to be understood and answered.
Hi Mary,
Perfect!
I like seeing your thoughts about what this means!
Mr. D
Q1. What is an operation? (In math)
A1. An action or procedure in which produces something
looking good!
Mr. D
What is an operation? (in math)
An action or procedure which produces something.
Define: Addition- To count things that are the same.
List 6 words that mean add:
Plus, More, Greater, Grow, Increase, and Up.
Addition and subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
Define: Subtraction-
1) A way to find out how far it is between things. (distance)
2) To take from something that is already there.
List 6 words that mean subtract:
Minus, Less, Smaller, Down, Decrease, and Take away
Define: Multiplication- To count things by more than one at a time.
List 5 words that mean multiply:
Multiply, Times, By, Product, and Of.
Awesome Sydney!
Are the words starting to become familiar to you?
Mr. D
yes, a little bit! Thank you!
1What is an operation?
when you do one of th four difrent types of math
2 define:addition
when you put stuf togther
3 list 6 words that mean add:
up plus
Positive Greater
Bigger Ascend
4 addition and subtraction are inverse operations!
an inverse means the opisite of.
counting from left to right now becomes counting from right to left
4 define:subtraction
to take away
to find out how far it is between things
To take from something that is already there
5 List 10 Words that mean subtract:
Subtract Minus Less Negative
Descend Take away Down
Smaller Withdraw Decrease
Hi David,
Excellent!
Having this be a part of your speaking makes all the difference!
Mr. D
1. What is an operation?
an action or procedure which produces something.
2. Define addition:
count things that are the same.
3. List 4 words that mean add.
increase, greater, add, and up
4. Addition and subtraction are inverse operations!
5. Inverse means the opposite of.
6. Define subtraction:
1) to find out how far it is between things.
2) to take away from something that is already there.
7. List four words that mean subtract.
decrease, smaller, less, and down
8. Define multiplication:
to count things by more than one at a time.
9. List five words that mean multiply.
multiply, times, by, of, and product.
10. Multiply and divide are inverse operations!
11. If 18 / 2 = 9 then 18 x 1/2 = 9
12. If 50 / 2 = 25 then 50 x 1/2 = 25
13. Define division:
to separate things into equal groups.
14. List 6 words that mean divide.
divide, separate, cut, ratio, per, and quotient
15. Define percent:
per means divide.
cent as in 100 (century).
Alright Jordan!
Are you able to start saying the definitions without looking yet?
Mr. D
What is an operation? (in math)
An action or procedure which produces something.
Define: Addition- To count things that are the same.
List four words that mean add:
Greater, Grow, Increase, and Plus.
Addition and subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left.
Define: Subtraction-
1) A wat to find out how far it is between things. (distance)
2) To take away from something that is already their.
List 4 words that mean subtract:
Minus, Decrease, Less, and Take away.
Define: Multiplication- To count things by more than one at a time.
List 5 words that mean multiply:
Multiply, Times, By, Product, and Of
Multiply and divide are inverse operations!
If 18/2 = 9 then 18 x 1/2 = 9
If 50/2 = 25 then 50 x 1/2 = 25
Define: Division- To seperate things into equal groups.
List 6 words that mean divide:
Quotient, Seperate, Cut, Per, Percent, and Ratio.
Define: Percent- Divide by 100.
Alright Sydney!
Are you able to start saying the definitions without looking yet?
Mr. D
Not really. Well, kind of!
What is an operation (in math) : A procedure that gives an answer,
Define:Addition: To count things that are the same.
6 words that mean add: Up, increase, ascend, higher, Plus, Grow.
Addition and subtraction are inverse operations.
An inverse is the oppisite of.
Counting from left to right is now counting from right to left.
Subtraction: 1. To take something away. 2. To figure something out.
Subtract: lower, down, minus negative,decrease, take.
Multiplication: to add together in groups.
Multiplication: Times,muliply,of, by , product.
Kaley.G
Alright Kaley!
Are you able to start saying the definitions without looking yet?
Hope you are feeling better!!!!!!
Mr. D
I am not able to say the definitions without looking yet but I am getting close!
I am getting much better thank you for asking!
I am not able to say the definitions yet but i am getting close!
I am feeling much better thank you for asking
Sorry my computer didnt pick up one comment but when i posted again it put both comments up.
Multiply and dividing are inverse operations.
If 18/2 =9 then 18 times 1/2 = 9
If 50/2 = 25 then 50 x 1/2 = 25
Division: To seperate things into equal groups.
List six words that mean division:
Divide, Cut, Ratio, Per,Separate and Quotient
Define percent: To divide by 100
Enjoy!
Kaley.G
Excellent Kaley!
You are doing great!
Mr. D
1) Define: Multiplication?
To count things by more than one time.
2) List 5 words that mean multiply?
Multiply,Times,By,Product,Of.
Sorry i was not around a computer when I did this.
Hi Anna,
No problem!
Looks good…
Have a great weekend!
Mr. D
Thanks
1) Multiply and Divide are Inverse operations.
2) Define: Division?
To separate things into equal groups.
*A remander is what is left over if it does
not fit into onoe of the equal groups.
3) List 6 words that mean Divided?
Divid,Cut,Separate,Ratio,Quotient,Per
Hi again!
Are the words starting to sink in yet?
Mr. D
oh yeah
What is an operation? (in math)
An action or procedure which produces something.
Define: Addition- To count things that are the same.
List 4 words that mean add:
Add, Greater, Increase, and Plus.
Addition and Subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes from right to left.
Define: Subtraction-
1) A way to find out how far it is between things. (distance)
2) To take away from something that is already their.
List 4 words that mean subtract:
Decrease, Minus, Less, and Take away.
Define: multiplication- To count things by more than one at a time.
List 5 words that mean multiply:
Times, Product, Multiply, and By.
Define: Division- To spate things into equal groups.
List 6 words that mean divide:
Separate, Quotient, Per, Cut, Percent, and Racio.
Define: Percent-
Divide by 100.
Equal to and not Equal to:
List 5 words that mean Equal to:
Equal, The same as, Equivalent, Congruent, and Is.
Words that mean Equal to:
What about words being equal in time?
Is- Happening now.
Was- Happening before.
Will be- Happening in the future.
In math what are the only 3 ways numbers are related?
1.Numbers are =
2.It is greater than
3.It is less than
List 6 words (or phrases) that mean not equal to without using the word not:
Is less than, Is less than or equal to, At most, Is greater than, Is greater than or equal to, and Atleast.
Put in the correct Symbol <, , or >=
Not less than means >=
Not less than or equal to means >
Not greater than means <=
Not greater than or equal to means <
You are rocking!
Mr. D
Answer these questions:
1) What is the difference in meaning between “less than” and “is less than”?
“less than” means it is equal to something and “is less than” means its not equal to something.
2) Write a sentence that uses the words at most meaning is less than or equal to.
Tina at most I will give you is 10 jelly beans.
3) Write a sentence that uses the words at least meaning is greater than or equal to
Dad I need at least 1o jelly beans for my snack!
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
An operation (in math) is an action or procedure which produces something.
An operation (in math):
An action or procedure which pruduces something.
Put a +, -, x, or / for each of the following:
Add + bigger + difference -
ascend + smaller – withdraw -
plus + subtract – divide /
decrease – more + up +
cut / increase + quotient /
positive + take away – greater +
product x descend – minus -
grow + deposit + less -
down – product x total +
negative – multiply x times x
seperate / ratio / sum +
If something is not equal to something, then it must be?
It is greater than or it is less than.
Put a >, =, or <= for each of the following:
Is less than <
Is less than or equal to =
Is not less than or equal to >
Is greater than >
Is greater than or equal to >=
Is not greater than >=
Is not greater than or equal to <
At most =
Wow…this is awesome Sydney!
Great work
Mr. D
Thanks!
1 what is an operation in math:
an action or pruduces wich pruduces something
2 diffine: addition
to count things that are the same
3 list six words that mean add:
increase deposit bigger grow
add up
4 Addition and Subtraction are inverse operations!
An inverse means the opposite of.
Counting from left to right now becomes counting from right to left
5 diffine: subtraction
1) to find out how far it is between things
2) To take from something that is already there
6 list six words that mean subtract:
down decend decrease shrink
withdraw minus
7define: multiplication
To count things by more than one at a time
8 List 5 words that mean multiply
Times Product Multiply By of
Excellent!
Mr. D
Equal to and not equal to.
Words that mean equal to:
Equal
The same as
Equivelant
Congruent
Is
Words that mean equal to:
What about words being equal in time.
Is: Happening now.
Was: Happening Before.
Will be: Happening In The Future.
In math there are only three ways that numbers are related:
1. Numbers Are Equal.
2. It is greater than
3. It is less than.
List Six Words Or Phrases That Mean Not Equal To Without Using The Word Not.:
Is less than, Is less than or equal to, At most, Is greater than, Is greater than or equal to, and at least.
Put in the correct Symbol =
Not less than means >=
Not less than or equal to means >
Not greater than means <=
Not greater than or equal to means <
Enjoy!
Kaley.G
Alright Kaley!
Mr. D
Answer these questions:
1) What is the difference in meaning between “less than” and “is less than”?
“Less than” means subtract. “Is less than” means something is smaller than something else.
2) Write a sentence that uses the words at most meaning is less than or equal to.
Rebbeca the most gummies i will give you is 12
3) Write a sentence that uses the words at least meaning is greater than or equal to
Mom I need at least 70 dollars for the mall!
Perfecto!
Mr. D
Q 1. What is the difference in meaning between “Less than” and “Is less than?”
A 1. “Less than” is another word for subtract, meaning that the answer was not yet found. “Is less than” Is a way of saying the answer that which you have given is less then the original amount, which they have supplied you.
Q 2. Write a sentence that uses the words at most meaning is less than or equal to.
A 2. 24,000 is at most what the average American makes in a year.
Q 3. Write a sentence that uses the words at least meaning is greater than or equal to.
A 3. “What is that on the floor? I would like it if you would AT LEAST pick your cloths up OFF THE FLOOR!!!!!!!” (Says mom storming out of my room.)
Excellent Mary!
Mr. D
What is the difference between Rational and Irrational???
1)Rational means Predictable. Rational is when you know the numbert that is next.
2)Irrational means Unpredictable. Irrational is when the numbers could just keep on going and going.
Alright Morgan!
You are doing great!
Have fun with integers!
Mr. D
What is an operation? (in math)
an action or produce wich porduces something
Define: Addition
to count stuf that is the same
List 4 Words that mean add:
add plus deposit up
Addition and Subtraction are inverse operations! An inverse means the oppisite of.
Counting from left to right now becomes counting from right to left
Define: Subtraction
1)A way to find out how far it is between things 2)To take from something that is already there
List 4 Words that mean subtract:
down minus withdraw shrink
Define: Multiplication
to count things more than once
List 5 Words that mean multiply:
by of times multiply
Define: Division
to seperat things in to equal groups
List 6 Words that mean divide:
Divide Separate Cut Ratio Per
Define percent:
divide by 100
Equal to and Not Equal to
List 5 Words that mean equal to:
Equal The Same As Equivalent Congruent is
Words that mean equal to:
What about things being equal in time? Is – happing now
Was – happed before Will be – will happen in the futer
In Math, what are the only 3 ways numbers are related! 1. wene numbers are equal 2.it is less then
3.it is gerater than
List 6 Words (or phrases) that mean not equal to without using the word not:
i don’t now ?
Words that mean not equal to:
Put in the correct symbol <, or >
Not Less Than Not Less Than or Equal to
Not Greater Than >meansmeans<
is less than or equal to
at most
at least
is greater than
is greater than or equal to
is less than
let’s make that sad face a happy one!
Mr. D
What is the difference in meaning between “less than” and “is less than”?
“less than” means that it is right now, “is less than” means that it isn’t right now
Write a sentence that uses the words at most meaning is less than or equal to.
RJ read for 10min at most.
Write a sentence that uses the words at least meaning is greater than or equal to
RJ biked at least 17 miles today.
Hi RJ
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
Why is adding integers like gains and losses???
Because you are adding negative and positive numbers.
Hi Morgan
A gain is positive and and a loss is negative…
This is a fun chapter!
Mr. D
Why does it matter whether the “X” is first in the translation 8 less than a number is 24?
Say you were older than 8. You could not work 8 minus a higher number. That is why it is important to put the “X” first.
Very good. It is like the “i” before “e” accept after “c” rule in spelling. It is the only time I have seen a math problem have a rule like that.
Mr. D
Hey Mr.D I was not there monday because I was sick (and still am) so for 1.8 is it the same thing as 1.7 because I already did that if it is the same??????????
You are all set!
(4/12)+0*8-(2p4)+25/5
2p4 means two to the fourth power
4/12 = one third
Did you mean 12/4
This looks like fun but doesn’t = 0
Keep playing!
Mr. D
For some reason I don’t see any of my posts….so I am going to resubmit them in order.
1.1
1) Why is math a language?
It is a system that uses sounds and conventional symbols to communicate.
2) Why is math language like dog language?
Just like a dog only hears what he needs to hear, there are only certain words in math that we need to understand.
1.2
1)What is an operation? (in math)
An action or procedure which produces something.
2)Define: Addition
To count things that are the same.
3)Why can you NOT count these? 1/4 + 2/5
The denominators are not the same
4)Why CAN you count these? 1/5 + 2/5
The denominators are the same
5)List 12 Words that mean add:
Add, Bigger, Ascend, Plus, Grow, Deposit, More, Increase, Total, Positive, Greater, and……. SUM!
1.3
1)What is an operation? (in math)
An action or procedure that produces something.
2)Define: Addition
To count somethings that are the same.
3)List 6 Words that mean add:
Add, Plus, Greater, More, Positive, and …….Sum!
4)Addition and Subtraction are _Inverse_ operations!
5)An inverse means the _Opposite_ of.Counting from left to _right_ now
becomes counting from right to _left_
6)Define: Subtraction
1)A way to find out how far it is between things. (distance)
2)To take from something that is already there. (Subtraction is a thief!)
7)List 10 Words that mean subtract:
Subtract, Take Away, Minus, Less, Negative, Descend, Down, Smaller, Withdraw, and …..
Difference
1.4
1)What is an operation? (in math)
An action or procedure that produces something.
2)Define: Addition
To count things that are the same
3)List 6 Words that mean add:
Increase, Total, Bigger, Grow, Ascend, and …..SUM!
4)Addition and Subtraction are _Inverse_ operations!
5)An inverse means the _Opposite_ of.Counting from left to _right_ now
becomes counting from right to _left_
6)Define: Subtraction
1)A way to find our far it is between things.
2)To take away from something that is already there.
7)List 6 Words that mean subtract:
Minus, Less, Take Away, Down, Subtract, and …….Difference!
8)Define: Multiplication
To add things by more than one at a time.
9)List 5 Words that mean multiply:
Times, Multiply, Of, By, and …..Product!
excellent! Your other posts are on the Algebra site…no worries I have them all!
And you are doing great!
Mr. D
5 (20/5) – [4^2+2*2]
5 (20/5) – [16+4]
20 – 20
0
Excellent Kaley!
You did it!
Mr. D
1.5
1) What is an operation?
An action or procedure which produces something.
2) Define Addition:
To count things that are the same.
3) List four words that mean add:
add, plus, more, SUM!
4) Addition and Subtraction are inverse operations.
Inverse means the opposite of.
Counting from left to right becomes counting from right to left.
5) Define Subtraction:
1) A way to find out how far it is between things
2) To take away from something that is already there.
6) List four words that mean subtract:
subtract, take away, less, DIFFERENCE!
7) Define Multiplication:
To count things by more than one at a time.
8) List words that mean multiply:
multiply, by, of, times, PRODUCT!
9) Multiply and Divide are operations.
If 18/ 2=9
then
18×1/2=9 (I don’t really understand how this works).
If 50/2=25
then
50×1/2=25
10) Define Division:
To separate things into equal groups.
10) divide, cut, ratio, separate, per, QUOTIENT!
11) Define percent: To divide things by one hundred.
Alright Caleb!
Excellent work!
Mr. D
(2+1)*2p2-4*4+2+2
3*4-8+4
12-12
0
i hope i got this right ?
Looks great!
One change
4*4 = 16 not 8
Mr. D
i did the all that work for nothing problems on paper and i like the pedmas
Hi David,
The PEMDAS is fun!
Mr. D
1.6
1) What is an operation?
An action or procedure which produces something.
2) Define Addition:
To count things that are the same.
3) List four words that mean add:
add, plus, more, SUM!
4) Addition and Subtraction are inverse operations.
Inverse means the opposite of.
Counting from left to right becomes counting from right to left.
5) Define Subtraction:
1) A way to find out how far it is between things
2) To take away from something that is already there.
6) List four words that mean subtract:
subtract, take away, less, DIFFERENCE!
7) Define Multiplication:
To count things by more than one at a time. List words that mean multiply:
multiply, by, of, times, PRODUCT!
9) Multiply and Divide are operations.
If 18/ 2=9
then
18×1/2=9 (I don’t really understand how this works).
If 50/2=25
then
50×1/2=25
10) Define Division:
To separate things into equal groups.
10) divide, cut, ratio, separate, per, QUOTIENT!
11) Define percent: To divide things by one hundred.
12) List five words that mean equal to:
equal,the same as, equivalent, congruent, IS!
Is: happening now
Was: happening before
Will be: happening in the future
13) In math, what are the only three ways numbers are related?
1) equal
2) greater than
3) less than
14) List six words that mean not equal to:
Is Less Than
Is Less Than or Equal to
At Most
Is Greater Than
Is Greater Than or Equal to
At Least
Answer these questions:1) What is the difference in meaning between “less than” and “is less than”?
Less than means 4 less than 8 = 4; Is less than is stating something .4 IS less than 8
2) Write a sentence that uses the words at most meaning is less than or equal to.
At most I will run is two miles.
3) Write a sentence that uses the words at least meaning is greater than or equal to.
C’mon, at least let mean ride with you.
HI Caleb
Wow awesome…
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
1. Why is math a language? Math is a language because it uses conventional symbols to communicate with. 2. Why is math language like dog language? Math language and dog language are similar because they both have different words that mean something while other words mean nothing in those languages.
Hi Joshua
Welcome to Mr. D Math!
Looking good!
Mr. D
Answer these questions:
1) What is the difference in meaning between “less than” and “is less than”?
“is less than” means its less right now at this moment right now.
“less than” is just less that not now not ever
the difference: when its happening
2) Write a sentence that uses the words at most meaning is less than or equal to.
“Hi my name is Doug and i will (squirrel!) “at most” mow your lawn for $25 bucks” says Doug to the old man. The old man replies “if you mow my lawn i will “at most” give you $25 dollars.”
3) Write a sentence that uses the words at least meaning is greater than or equal to.
“Kevin “at least” u can help me with moving the house” says Russell. Kevin squawks “i will rest here “at least” a bit longer.”
Hi Marissa
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
1) What is the difference in meaning between ” less than” and “is less than”? “Less than” means less than and ” is less than” means less than or equal to.
2)Write a sentence that uses the words at most meaning is less than or equal to. You can have at most, 50 donuts.
3)Write a sentence that uses the words at least meaning is greater than or equal to. I need at least $5 to go to subway.
Hi Ethan!
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
If a biomial is a polynomial, then a polynomial is sometimes a biomial…
Hi Morgan
You are cruising!
Great job
Mr. D
1.7
“All that work for nothing” problem
(2*5)-(20/2)+0^2*3
(10)-(10)+0^2*3
10-10+0^2*3
0+0^2*3
0
Hi Caleb
it is 0 – all that work for nothing!
Mr. D
1) Why is math a language?
Math is a language because IS a systematic means of communicating by use of sounds of conventional symbols. It matches the information given in the definition of a language.
2) How is math language like dog language?
Because like dog language, in math language, only certain words have a meaning.
Hi Jillian!
Game on and looking great
Glad to have you in the course…
You will like Algebra!!!!
Mr. D
1.) What is the difference in meaning between “Less than” and “Is less than”?
Is Less than means it’s happening now.
2.) Write a sentence that uses the words at most meaning is less than or equal to.
At most pay me $50 of what you have.
3.) Write a sentence that uses the words at least meaning is greater than or equal to.
At least pay me $50 of what you have:)
Hi Jessica!
Nice to meet you here in virtual world.
How are you liking the course so far?
Mr. D
Hi Again!
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
1. What is the difference in meaning between ” less than” and ” is less than”?
is less than means happening now and less than means to subtract.
2. Write a sentence that uses the words “at most” meaning is less than or equal to.
i need at most $20 for food.
3. Write a sentence that uses the words “at least” meaning is greater than or equal to.
i need at least $20 for food.
Hi Sarah
Nice to meet you in the virtual world!
Hope you are enjoying the coruse so far!
on the “less than” question
less than means subtract…
5 less than 7 is 2
is less than means that something is smaller than something else…
5 < 7
Mr. D
What is the difference between a rational and irrational number?
A rational number is predictable (you know what it coming next).
An irrational number is unpredictable (You do not know what is coming next).
Exactly!
Mr. D
Thanka!
oops sorry (typo) … I meant to say Thanks!
What is the difference between rational and irrational numbers?
Rational:predictable: the square root of 25= 5
Irrational:unpredictable: 3.14…?
Nicely said!
Mr. D
2.1 course work.
1) Numbers began with counting numbers.
Counting began at the number 1.
The counting numbers are 1,2,3,4,5,6,7,8,9,10,11,12,…
the ….. means they keep going on and on.
2) What is the difference between rational and irrational numbers?
rational numbers are predictable, and irrational numbers are unpredictable.
3) In math, rational means that you know what the next numbers is in a decimal or you can write the number as a fraction of two integers
4) Define natural numbers: the positive counting numbers
5) Define whole numbers: the positive counting numbers and zero
6) Define integers: the negative and positive counting numbers and zero
7) Define rational numbers: any number that can be written as a fraction or any number that can be written as repeating or terminating decimal
8) Define irrational numbers: any number that is a non terminating, non repeating decimal
9) Define real numbers: any number that is a natural, whole, integer, rational or irrational number.
10) If numbers are not real, then they must be imaginary.
Imaginary numbers are not real but they do exist.
11&12) On paper, Not sure how to reproduce charts here.
No worries…on paper is fine for the last one!
Nice work!
Mr. D
rational numbers are predictable irrational numbers are not predictable
It is just that easy!
Mr. D
Why is adding integers like gains and losses?
Because gains is another word for you to use for adding. The same for losses, it can be used for subtracting.
Hi Laura!
Very nice!
Mr. D
2.1 Part II- What is the difference between rational and irrational numbers?
Rational numbers are predictable so you know what to expect.
Irrational numbers are, on the other hand, unpredictable.
Hi Jacob!
Very good…you are going to like this course!
Mr. D
1) What is the difference between an equation and an expression?
An equation is a complete sentence while an expression is a command.
2) what is a variable?
A variable is something that takes the place of a number in an equation, expression, or inequality.
3) Translate: 4more than a number is 10
more than means add
a number is a variable
is means equal
4+X=10
4) Translate: 5 more than a number is 12
5+X=12
5) Translate: 8 less than a number is 24
less than means subtract
a number means a variable
is means equal
8-X=24
6) 5 less than a number is 12
5-X=12
7) Translate: 4 less than 3 times a number is 10
4-3x=10
8) Translate: twice a number decreased by 12 is the same as the number increased by 8
2x-12=x+8
9) Why does it matter whether “x” is first in the translation of 8 less than a number is 24?
Because it is just like subtraction. You wouldn’t subtract 8 minus a number; you do the number minus 8.
You are on fire!
5) x – 8 = 24
6) x – 5 = 12
it’s like you said in number 9
Mr. D
Oops, sorry. I messed up on my previous”less than”problems. I will correct them.
X-8=24
X-5=12
3x-4=10
I hope I have cleared this up.
Well yes you have cleared it up!
Excellent!!!!!!!
1.What is the difference between an equation and an expression?
An equation is a complete sentence while an expression is a command.
2. Equation: four more that six is ten… 4+6=10
Expression: four more than six… 4+6
3. A variable is something that takes the place of a nuber in an equation, expression or inequality!
4. Translate: 4 more than anumber is 10
more than means add
a number means variable
is means =
5. Translate: 4 more than a number is 10… 4 + x = 10
Translate: 5 + x = 12
6. Translate: 8 less than a number is 24
less than means subtract
a number means variable
is mean =
7. Translate: 5 less than a number is 12
x – 5 – 12
8. Translate: 4 less than 3 times a number is 10
3x – 4 = 10
9. Twice a number decreased by 12 is the same as the number increased by 8.
2x – 12 = x + 8
10. Why does it matter whether the “X” is first in the translation of 8 less than a number is 24? Because it is like when you subtract. You would not do 8 minus the number, you would do the number minus 8.
Hi Sydney
Great work!
See you in the am!
Mr. D
What is the difference between a rational and irrational number?
Rational means- predictible
Irrational means- unpredictible
sorry forgot to post this
Hi Anna.
Looks great!
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
Because x is more that 8 so you would not put 8-27 you would put 27-8 unless you want to make your answer negitive…..
Exactly right!
Mr. D
What is the diffrence between rational and irrational numbers?
Rational numbers are predictable
Irrational numbers are unpredictable
Kaley G
Hi Kaley,
Yes yes yes!
Mr. D
1) Integers: the positive and negative counting numbers and zero
2) What is a number line?
A line with numbers on it.
3) What is a negative number?
The opposite of a positive number.
4) What is the negative of a negative number?
A positive number.
5) What is absolute value?
The distance of any number from zero.
6) Translate to integers:
A bank withdrawal of 30 dollars:
-30
A loss of 9 pounds:
-9
A gain of 21 yards:
21
3 seconds from liftoff:
-3
2 seconds after liftoff:
2
11 degrees below zero:
-11
Excellent Caleb!
Mr. D
Integers- The negative and Positive counting numbers and zero.
What is a number line? A line with numbers on it.
What is a negative number? The oposite of a positive number!
What is the negative of a negative number? A positive number.
Predict the whether!: Today it is not a not sunny day. Today is a sunny day.
What is absolute value? The distance of any number from 0.
True or false:
16 = -2 (false) -16 -10 (false) -6 =<-6 (true) 0< -9 (false)
True or false:
|6|=|10| (true) 8 -1 (false) |-6|=<-6 (false) |18|< |-11| (false)
Translate into an integers:
A bank withdrawal of $30- -30
A loss of 9pounds- -10
A gain of 21 yards- + 21
3 seconds before liftoff- -3
2 seconds after liftoff- +2
11 degrees below zero- -11
Hi again!
You are rocking!
Mr. D
Thanks!
The difference between a rational number and an irrational number is rational numbers are precictable and irrational numbers are predictable.
It matters whether the “x” is first in the translation of 8 less than a muber is because you have to kes something away from a bitter number.
Hi Alexis!
It is like your asking about your age…
8 less than your age is your age minus 8 not 8 minus your age…
Mr. D
What is the diffrence between rational and irrational numbers?
rational is predictable and irrational is unpredictable
Hi Jordan
You got it!
Mr. D
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
x=27 and 27 is more than 8, so you would not put 8-27.
Hi RJ
You could put 8-27 which would be negative, it is more that it does not say so, so don’t write it that way!
Mr. D
What is the difference between a rational and irrational number?
rational numberis predictable
irrational number is not predictable
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
x is your age, in (8 less than a number is 24)
what would you do
your age minus 8 or 8 minus your age
Hi Marissa!
right! you wouldn’t want to have a negative age!
X is more than 8 or else you would have 8-27
Hi Kaley
You could put 8-27 which would be negative, it is more that it does not say so, so don’t write it that way!
Mr. D
Ok!
Let’s start with where numbers began! Numbers began with natural Numbers
Let’s start with where numbers began! Numbers began with Counting Numbers Counting began at the number 1
The counting numbers are 1,2,3,4,5,6,7,8,9,10,11,12,… the … means ???
What is the difference between Rational and Irrational Numbers?
Rational means preidctable Irrational means unperidctable
In math, rational means that you know what the next number is in a number ? or you can write the number as a __?_____ of two _____?_____
1/3 is rational because it can be written as a fraction of two integers and as a decimal
s
.3 = .3333333 _3_ as you can predict what is next!
π is irrational because it can not be written as a fraction of two integers and we do not know what comes next in the decimal
π = 3.14159_ What comes next?
By the way:
π=
3.14159265358979323846264338327950288419716939937510582097 4944592307816406286208998628034825342117067982148086513282 3066470938446095505822317253594081284811174502841027019385 2110555964462294895493038196442881097566593344612847564823 3786783165271201909145648566923460348610454326648213393607 2602491412737245870066063155881748815209209628292540917153 64367892… (that means there is even more)
Define: Natural Numbers -
numbers that start with 1
Define: Whole Numbers –
numbers that have a zero in the begining or the end
I think you are liking the pi number!
Great work!
The rules for adding integers:
+ plus + (positive plus positive)
add the numbers and keep the answer positive.
-plus –(negative plus negative)
add the numbers and keep the answer negative
-plus + or -plus + (negative plus positive )
subtract the numbers and give the answer the sign of the bigger absolute value.
Alright Sydney!
Hope you are feeling better!
Why is adding integers like gains and losses?
Because you have a loss of 2 and a gain of 5.
It would be -2 – 5 (negative two minus positive five.)
And this is a gain of 3. The negative is the loss and the positive is the gain.
Excellent!
Keep it going!
Rational numbers – predictable
Irrational numbers – unpredictable
Simple yet insightful!
Great
Why is adding integers
like gains and losses?
the negative is a lose and the positive is a gain. -3+8 you lose 3 and then gain 8.
What do you end with when you lose 3 and then gain 8?
I like how you are thinking!
+ plus + (positive plus positive)
> add the numbers and keep the answer positive
- plus – (negative plus negative)
> add the numbers and keep the answer negative
- plus + or – plus + (negative plus positive) > add the numbers and give the answer the sign of the bigger absolute value
Alright David!
Why is adding integers like gains and losses?
the rays lost 2 and gain 5 it’s -2+5 they lost 2 two games and gain 5
If they can win a few more, they will be in the playoffs!
The best way to subtract integers is not to !
Remember that Addition and Subtraction are inverse operations.
We can change the Subtraction back to an Addition problem and use the rules for addition!
2 – 7 is the same as 2 + -7
When you use an inverse operation, you change the next number or variable
you see to the opposite of what it is. The – changed to + and the 7 changed to -7
-2 – 7 is the same as -2+-7
When you use an inverse operation, you change the next number or variable you see to the opposite of what it is. The – changed to + and the 7 changed to -7
2 – -7 is the same as 2 + 7
When you use an inverse operation, you change the next number or variable you see to the opposite of what it is. The – changed to + and the -7 changed to 7
-2 – -7 is the same as -2 + 7
When you use an inverse operation, you change the next number or variable you see to the opposite of what it is. The – changed to + and the 7 changed to -7
Change the following subtraction problems to addition problems
11 – -18 = 11 + -18
-11 – 18 = -11 + 18
11 – -18= 11 + -18
-11 – 18 = -11 + 18
A couple changes here
Change the following subtraction problems to addition problems
11 – -18 = 11 + +18
-11 – 18 = -11 + -18
11 – -18= 11 + +18
-11 – 18 = -11 + -18
When the – sign changes, then the next sign changes too! If there is not one there, it si a + that will change to a -.
Mr. D
Gains and losses
You lost 4 then gained 15. its like negative and positive!
Very good…looks like you have an overall gain here too!
Mr. D
Why is adding integers like gains and losses?
Because you have a loss of 2 and a gain of 5. Its like someone eating at a buffet.
You get a gain of food, but then you upchuck some of it, so you have a loss of food.
Ok – this is the funniest comment I have ever read on here!
You are a riot!!!!!
1) The best way to subtract integers is not to.
2) Remember that addition and subtraction are inverse operations.
3) When you use an inverse operation, you change the number or variable you see to the opposite of what it is.
4) Change:
11-18:
11+-18
-11-18:
-11+-18
11–18:
11+18
-11–18:
-11+18
Hi there!
A couple changes here
Change the following subtraction problems to addition problems
11 – 18 = 11 + -18
-11 – 18 = -11 + -18
When the – sign changes, then the next sign changes too! If there is not one there, it si a + that will change to a -.
Mr. D
1. The best way to subtract integers is not to!
2. Remember that Addition and Subtraction are inverse operations.
3. 2 –7 is the same as 2 + -7
When you use an inverse operations, you change the next number or variable you see to the opposite of what it is. The –changed to + and the 7 changed to -7
4. -2 –7 is the same as -2 + -7
When you use an inverse operation, you change the next number or variable you see to the opposite of what it is. The –changed to + and the 7 changed to -7
5. 2 – -7 is the same as 2 + 7
6. -2 – -7 is the same as -2 + 7
7. 11 –18 = 11+-18
-11 –18 = -11+118
11 – -18= 11+18
-11 – -18= -11+18
Sydney,
This is excellent!
Mr. D
Why is adding integers
like gains and losses?
When you subtract 5, but add 20, you’re gaining and losing. :]
And more gaining than losing can be a good thing!
Can you think of when that might be bad?
Mr. D
1) Multiplying integers is all about odds and evens.
2) In any multiplication problem that involves integers, just count the number of negative signs.
3) An odd number of negative signs makes the answer negative.
An even number of negative signs makes the answer positive.
4) The rules for multiplying integers:
Count the number of negative signs.
If odd, the answer is negative. If even, the answer is positive.
Yes indeed!
That’s it!!!!!
Mr. D
1. Multiplying integers is all about odds and evens!
2. In any Multiplication problem that involves integers, just count
the number of negative signs.
3. An oddnumber of negative signs makes the answer negative.
An even number of negative signs makes the answer positive.
4. How about this:
What does the negative of the negative of the negative of the negative
of negative 9 = ?
– - – - (-9)= -9
5. The rules for multiplying integers:
Count the number of negativesigns. If odd the answer is negative, if even the answer iis positive.
Gotta love that —-(-9) fun!
Great !!!!
What is the difference between a rational and irrational number? The difference is rational is predictable( you know what is coming) and irrational is unpredictable (you don’t know what comes next).
Excellent Ethan!
Mr. D
what are we doing for this week 2.? i don’t know what to do
Hi
finishing from last week
2.4
2.5
2.6
then
2.7
2.8
chapter 2 test
my sister told me what to do but i;m doing 2.8 course work and i’m puting in = -2(7 + -3) +2^3 and it says error
put
-2*(7+-3) + 2^3
What is the difference between a rational and irrational number?
Rational means its predictable and Irrational means its unpredictable:)
Right Jessica!
Very good!
Mr. D
What is the difference between a rational and irrational number?
rational mean predictable.
irrational means unpredictable.
Hi Jessica
Very good!
Mr. D
Mr.D
i am not jessica although she my sister but im sarah.
Why is adding integers like gains and losses?
adding integers is like gain 3 + 15 = 18
subtracting integers is like losses 20 – 130 = -110
-100 + 40 = 140 thats gains and losses.
Hello!
-110 + 40 = -70
I know you were just checking to see if I was paying attention!
Q. Why does it matter whether the “x” is first in the translation of 8 less than a number is 24? A. It matters because, 8 less than a number really means, the number, less than eight is twenty-four ( x-8=24). If the x came after the eight, then it would mean 8 less than a number is 24.
Very good Ethan!
You are a true math man!
Why doos it matter whether the “x” is first in the translation of 8 less than a number is 24?
The “x” matther first in the translation of 8 less then a number is 24 because if you think about your age (above 8) minus the 8 it would make sense but if you put 8 before the “x” is 24 then your problem would be a negative.
(Above 8)*
Wow Jessica this is great and I really like the smiley with the glasses!
Mr. D
Why does it matter whether the “x” is first in the translation of 8 less than a number is 24?
because your age minus 8. you have to put the x first or else if u put the x second the answer would be negative.
Great Sarah…
How are you and your sister liking the math program so far?
Mr. D
Why is adding integers like gains and losses? Because a gain is going up, like positive numbers and a loss is going down, like negative numbers.
Hi Ethan,
yes, that’s right
Mr. D
What is a term in Algebra? Anything that is seperated by a + or – sign.
Names for terms
monomial –One term
example: 4x
Binomial –two terms
example: 2x + 3y
trinomial –Three terms
example: 4×2+ 2x -3
polynomial–Something with terms
What are like terms in Algebra? When the variable and exponet of the variable are the same!
Like terms in Algebra can be added because you are counting the same thing:
3x + 5x = 8x
2x + x = 3x -Why? Because the are like terms and “x” is one.
2x + y = 2x + y -Why? Because they are not like terms so the answer is the same.
a + b = a + b -Why? a and b are not like terms.
4×2+ 5×2= 9×2 -Why? They are like terms so they can be added.
2xy2–8xy2+ 4xy2= -2xy2 -Why? They are like terms so they can be added.
3a3b –4ab3= 3a3b –4ab3 -Why? They are not like terms so they can’t be added.
Hi Jessica,
you are on a right track. I would only add that a term is either a number or a product of a number and has one or more variables. Such as 6xy. Here the numerical part of the term is 6, and the term variables are x and y.
Polynomial is something with terms…good job
It is an expression which is the sum of terms in the form ax^k. For example: 2x^4 – 7x^3 – 5x + 1 (the symbol ^ means raised to a power)
Everything looks great! Good job
Mr. D
If a binomial is a polynomial, then is a polynomial abinomial?
Sometimes. Because binomial is two and polynomial is one or more so binomial is sometimes polynomial.
Great Sydney!
You got it!
What does distribute mean?
To give to several things equally.
The distributive property is one of the most important properties in Algebra.
We have already been using it!
Remember24 * 7 = 7(20+ 4)
Look at
-(x -3)
This means the opposite of or distribute the negative
Hi Sydney,
good answer
Mr.D
some one deleated my grade book and i made a new one but i don’t know my integrity grade and that’s 10% of my grade what do i do
Hi David,
Did you get the integrity grades put back in?
I will show you today in the class.
Mr.D
1) What is a term in algebra?
Anything that is separated by a + or – sign.
2) Names for terms:
monomial-one term
binomial-two terms
trinomial-three terms
polynomial-something with terms
3) What are like terms in algebra?
When the variable and the exponent of the variable are the same are the same.
4) Like terms in algebra can be added because you are counting the same thing.
5) 2x+x=3x Why?
Because x=1x so 2x+1x=3x
6) 2x+y=2x+y Why?
Because y is not the same so 2x+y=2x+y
7) a+b=a+b Why?
Because a and b are different so a+b=a+b
8) 4×2+5×2=9×2 Why?
You just add 4 and 5 so it comes out 9×2
9) 2xy2-8xy2+4xy2=-2xy2 Why?
2xy2+-8xy2+4xy2
-8xy2+2xy2=-6xy2
-6xy2+4xy2=-2xy2
10) 3a3b-4ab3=3a3b-4ab3 Why?
Because they are not the same so they stay as they are.
11) If a binomial is a polynomial than a polynomial is a binomial.
Sometimes. Since a binomial is two terms and a polynomial is a term or more, a polynomial can sometimes be a binomial.
Caleb,
You are rocking!
Mr. D
We simplify expressions and solve equations!
An equation will have an = sign.
There will be a form of the word is in the problem if it has been written in the English language waiting for translation to Math language.
In this chapter you will be working with linear equations. A linear equation is an equation of a line. You will be graphing lines later in this text series.
A linear equation has 2 things happening:1) There is an = sign. That is the equation piece.
2) The variable will be a 1st power variable. That is what creates a line.
To solve equations both
linear and non-linear here is the rule! UNDO WHAT IS BEING DONE TO THE VARIABLE!
To undo what is being
done to the variale you will do the order of operations backwards.
That means undo addition and subtraction first then undo multiplication and division.
To undo an operation, you use inverse operations!
To undo addition is to add it’s opposite!
Why is getting a zero important?adding 0 to anything gives you what you already have.
By the way to keep things equal when there is an equal sign, what ever you do one side of an equation you must do the same thing to the other side of the equation!
x + 8 = 12 What is happening to the variable?It is being added by 8
.
Solving Linear Equationswith Addition and Subtraction
x + 8 = 12-8 -8
Everything is adding, so this is read 8 + 8
Everything is adding, so this is read 12 + -8
x + -8 = 12 What is happening to the variable?It is being added by -8
x + 8 = -12What is happening to the variable?It is being added by 8.
x + -8 = -12 What is happening to the variable?It is being added by -8.
The selling price of a certain DVD is$8morethanthe price the store paidfor it. The selling priceis$18. What is the price the store paid for the DVD?
selling price = 8 + price store paid.
excellent!
Wow!!!!!
If a binomial is a polynomial, then is a polynomial a binomial? Sometimes, binomial is 2 and polynomial is 1 so it is sometimes.
Kaley.G
Go Kaley!
You are rocking!
Thank You!(:
Why is adding integers like gains and losses?
because the best ways to think of is going up or going down, positive or negative
very good SARAH !!!!!
Why is adding integers like gains and losses?
Adding integers are like gains and losses because gains are like Going Up as in adding and losses is like Going Down as in substract.
Hi Jessica,
you will start to see that subtraction is adding a negative.
Mr. D
1) What does distribute mean?
To give to separate things equally.
2) The distributive property is one of the most common properties in Algebra.
We have already been using it.
3) Remember
24*7=7(20+4)
4) -(x-3)
This means the opposite of or distribute the negative.
Excellent Caleb!
You are becoming quite the mathematician!
Mr. D
If a Binomial is a Polynomial, then is a Polynomial a Binomial?
Somtimes Why-
Because a Binomial can’t have more than two terms but a Polynomial is a Binomial because a Polynomial can have more than one term……
Excellent Anna!
Even in Chicago a polynomial is sometimes a binomial
Mr. D
1) We simplify expressions and equations.
An equation will have an = sign.
There will be a form of the word is in the problem if it has been written in the English language waiting for transition to math language.
2) In this chapter we will be working with linear equations. A linear equation is an equation of a line. We will be graphing lines later in this text series.
A linear equation has two things happening:
1) There is an = sign. This is the equation piece.
2) The variable will be a first power variable. This is what creates a line.
3) To solve equations both linear and non-linear here is the rule:
UNDO WHAT IS BEING DONE TO THE VARIABLE!
4) To undo what is being done to the variable you will do the order operations backwards.
5) That means undo addition and subtraction first then undo multiplication and division.
6) To undo an operation, you use inverse operations.
7) To undo addition is to add it’s opposite.
8) Why is getting a zero so important?
Adding zero to anything gives you what you already have.
9) By the way, to keep things equal when there is an equal sign, what ever you do one side of an equation you must do the same thing to the other side of the equation.
10) x+8=12
What is happening to the variable? It is being added by 8
11) Everything is adding so this is read -8+8 x=8=12 Everything is adding so this is read 12+-8
12) The selling price of a certain DVD is 8$ more than the price the store paid for it. The selling price is 18$. What is the price the store paid for the DVD?
What is the question?
what are the math words and numbers?
selling price=8+price store paid.
Good job Caleb!
Mr.D
To solve equations both
linear and non-linear here is the rule!UNDO what is being done to the VARIABLE!
To undo an operation, you use inverse operations!
To undo multiplication, you use division! To undo division, you use multiplication!
To undo multiplication, you divide!
Why is getting a one important?
1:) =
Multiplying 1 by anything gives you what you already have.
8x = 24
What is happening to the variable?It is being multiplide by 8.
Solving Linear Equationswith Multiplication and Division
8x= 248 8
A fraction bar is a division sign.
-8x = 24
What is happening to the variable?It is being multiplide by -8.
To undo division, you multiply!
If a variable is being divided by 8 you multiply by 8!Start with x8.
x= 3 8 0
What is happening to the variable?
It is being multiplide by 8.
The area of a parallelogram =the base times the height. If the area of a parallelogram is 60 and the heightis 15, what is the base of the parallelogram?
What are the math words and numbers?
Area = Base x Height
A = bh
or bh= A
sydney, you are right!
Mr. D
Choose always, sometimes or never and say why you choose your choice.
If a binomial is a polynomial, then is a polynomial a binomial.
sometimes
a binomial is always a polynomial but a polynomial isn”t always binomial
Hi David,
that’s right!
Mr.D
What is a term in Algebra?
Anything that is seperated by a + or – sign.
Names for terms
Monomials – One term
example: 4x
Binomial – Two terms
example: 2x + 3y
Trinomials – Three terms
example: 4×2 + 2x – 3
polynomials – Something with terms
What are like terms in Algebra?
When the variable and exponents of the variable are the same!
Like terms in Algebra can be added because you are counting the same thing:
Hi David,
Rock on!
Mr. D
Part I
In the equation -2x + 8 = -14, what is happening to the variable?
It is being multiplied by -2 and added by 8.
Part II
Why do you do the order of operations backward when solving an equation?
Because, if you did not do it backwards then you would get a big crazy and wacky answer and those are not the rules.
Hey Sydney,
funny girl. Good answer lol …
Mr.D
1) To solve equations both linear and non-linear, here is the rule:
UNDO WHAT IS BEING DONE TO THE VARIABLE!
2) To undo an operation, you use inverse operations.
3) To undo multiplication, you use division.
To undo division, you use multiplication.
4) To undo multiplication, you divide.
5) Why is getting a one so important?
Multiplying one by anything gives you what you already had.
6) 8x=24
What is happening to the variable?
It is being multiplied by 8.
7) A fraction bar is a divide sign.
8) -8x=24
What is happening to the variable?
It is being multiplied by -8.
9) To undo division, you multiply.
10) If a variable is being divided by 8 you multiply by 8.
11) x/8=3
What is happening to the variable?
It is being divided by 8.
12) The area of a parallelogram = the base times the height. If the area of a parallelogram is 60 and the height is 15, what is the base of the parallelogram?
What is the question?
What are the math words and numbers?
Area=base times height
A=900
or
bh=900
Hi Caleb,
right on!
Mr. D
1) In the equation -2x+8=-14, what is happening to the variable?
It is being multiplied by -2 and added by 8.
2) Why do we do the order of operations backward when solving an equation?
Because it is a much simpler way to figure out operations like the ones we are learning. Plus we will get a ridiculous answer like -9563259474287568561341 or some thing like that and that is not good.
Hi Caleb,
that’s right!
Mr.D
If a binomial is a polynomial, then is a polynomial a binomial?
A polynomial is a binomial Sometimes because a polynomial is more than one term.
Hi Jessica,
that’s right
Mr.D
if a binomial is a polynamial, then is a polynomial a binomial.
sometimes because as a binomial is always a polynomial but polynomial can have one or more terms.
Hi Sarah,
yes yes… Good job
Mr.D
To solve equations both
linear and non-linear here is the rule! UNDO what is being done to the VARIABLE!
What if an equation has variables on both sides of the = sign
12x –8 = 7x + 7
Bring the smaller x to the bigger x.
Add the opposite of 7x. Notice the x is moving with the 7!
12x –8 = 7x + 7
-7x -7x
___________
5x –8 = 0 + 7
5x –8 = 7
+8 +8
___________
85x + 0 = 15
5x = 15
5x= 15
5 5 (/ divide)
1x = 3
x = 3
12x –8 = 7x + 7
12(3) –8 = 7(3) + 7
36 –8 = 21 + 7
28 = 28
(break even means when the sales = costs)
You have started a business selling Mr. D Math T-Shirts! You sell the shirts for $12 each but it costs $112 to buy the T-Shirt printing equipment and costs $4 for each shirt to print the shirt. HOME MANY SHIRTS WILL YOU HAVE TO SELL BEFORE YOU BREAK EVEN?
12x = 112 + 4x
-4x -4x
———————–
8x = 112 + 0
8x = 112
8x= 112
8 8
1x = 14
X =14
You have started a business selling Mr. D Math T-Shirts! You sell the shirts for $12 each but it costs $112 to buy the T-Shirt printing equipment and costs $4 for each shirt to print the shirt. How many shirts will you have to sell before you break even?
14 shirts
Hi Sydney,
awesome! Good job
Mr.D
1. Math is a language because it’s communicating through the use of sounds or symbols.
2.Math is compareable to a dog’s language because like a dog math has only certain words that have any meaning at all.
i’m sorry this is up so late.
Hi Anna,
good job! Better late than never
See you tomorrow
1) To solve equations both linear and non-linear here is the rule:
UNDO WHAT IS BEING DONE TO THE VARIABLE.
2) What if an equation has variables on both sides of the = sign 12x-8=7x+7
Bring the smaller x to the bigger x.
3) 12x –8 = 7x + 7-7x -7x
Add the negative of 7x. Notice the x is moving with the 7!
4) You have started a business selling Mr. D Math T-Shirts! You sell the shirts for $12 each but it costs $112 to buy the T-Shirt printing equipment and costs $4 for each shirt to print the shirt. How many shirts will you have to sell before you break even?What is the question?(break even means when the sales = costs)
point out the math words and numbers.
12x = 112 + 4x
-4x -4x
8x = 112
8 8
1x = 14
X =14
14 shirts
Hi Caleb,
you got it!
Mr. D
I can’t find 3.2 3.3 or 3.4 how do i find them
i found them
Hi David,
glad you did
Mr.D
If a binomial is a polynomial, then is a polynomial a binomial.
somtimes a polynomial can have more than two terms
Hi Marissa,
yes yes
Good Job
Mr. D
1) In the equation -2x+8=-14, what is happening to the variable?
The variable is being multiplied by -2 and added by 8.
2) Why do we do the order of operations backward when solving an equation? It is much easier than figuring it out normally.
.
Hi Kaley,
good Job
Mr. D
To solve equations both linear and non-linear here is the rule!
UNDO WHAT IS BEING DONE TO THE VARIABLE!
What if an equation has variables on both sides of the = sign
12x – 8 = 7x + 7
Bring the smaller X to the BIGER x
12x – 8 = 7x + 7
-7x -7x
——————-
Add the negative of 7x. Notice the X is moving with the 7!
Hi David,
Yes bring the smaller x to the bigger x –
we missed you all this week!
Mr. D
1) What is the difference in meaning between “less than” and “is less than”?
-”less than” is demanding an answer to a subtraction problem.
-”is less than” is simply saying that a certain number is a lower value than the value of the number it is being compared to.
2) Write a sentence that uses the words at most meaning is less than or equal to
At the most I wil be gone thirty minutes.
3) Write a sentence that uses the words at least meaning is greater than or equal to
Can I at least have 10 dollars please.
I like that you said please!
Nice work!
Mr. D
Part V (5):
Number doing dividing: 6
Test: The number being divided vshould be even and the sum should be divisible by 3.
Example: 24 can be divided by 6 because 24 is even and the sum is 2+4 = 6. 3 goes into 6.
Hi there
See if you can make up a new like a rule for 12
Oh, okay! i thought that’s what we were suppost to do but I wasn’t sure!
1) What is a factor? A divisible part of a number or expression.
Divisible means something that can be divided with no remainder.
2) What is a prime number? A number that can only be divided by one and itself.
3) What is a prime factor? A divisible part of a number that can only be divided by one and itself.
4) What numbers from one to one hundred are prime numbers?
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97
5) What is a composite number? A composite number is a number that can be divided by more than one and itself.
6) Tests for divisibility
2
The number being divided must be even (the last digit)
12, 24, 30 and 100 can all be divided by 2 because they are even numbers
3
If the sum of the digits can be divided by 3, then the number can be divided by 3 too
42 can be divided by 3 because
4+2 = 6 and 3 goes into 6, so 3 goes into 42
4
If the last two digits of the number can be divided by 4, then the number can be divided by 4 too
124 can be divided by 4 because the last two digits 24 can be divided by 4, so 4 goes into 124
5
The number must end in 5 or 0
25, 130, 205 all end in either 5 or 0, so 5 can go into them
6
The number must be even and divisible by 3
84 can be divided by 6 because 84 is even and 8+4=12 which makes it divisible by 3
8
If the last three digits of the number can be divided by 8, then the number can be divided by 8
1888 can be dividedby 8 because the last three digits 888 can be divided by 8, so 8 goes into 1888
9
If the sum of the digits can be divided by 9, then the number can be divided by 9
756 can be divided by 9 because 7+5+6=18 and 9 goes into 18, so 9 goes into 108
10
The number must end in zero
20, 300, 40,50 can all be divided by 10 because they all end in zero
25
The last two digits must end in 00, 25, 50 or 75. Think of money!
225, 300, 1475 and 950 all end in either 00, 25, 50 or 75
7) This is my own rule
11
The last two digits must be the same
22, 33, and 111 can all be divided by 11 because their last two digits are the same
The rule you have will only work up 99.
here is one for 3 digit numbers and 11.
If the number in between is the sum of the numbers on either side then it is divisible by 11
example
253
2 + 3 = 5
5 is in the middle
so it is divisible by 11.
What is really cool is the the 2 and 3 make the number 23 and 23 * 11 is 253
Mr. D
What is the difference between a rational and irrational number? A rational number is predictable but an irrational number is unpredictable.
Go Joshua!
Have fun being on the lookout for the predictable and unpredictable
Mr. D
The number: 12
The test: The number must be even and the sum has to be dividible by 3.
Example: 36- it’s even. 3+6=9. 3 goes into 9. 12 goes into 36!
mrd i can’t open the logic puzzles what should i do
NUMBER DOING DIVIDING = 18
TEST = The number is divisible by 9 and 2.
EXAMPLE = 72 is even and can be divided by 9 because 7+2=9 and 9 goes into 9 so 18 goes in to 72.
What is a factor? A DIVISABLE part of a number or expression
Divisible means something that can be DIVIDED with no REMANDER.
The rules you are about to see can tell you very quickly if any number can be divided by
NUMBER DOING TEST DIVIDIDING
2 12, 24, 30 and 100 can all be divided by 2 because they are even numbers
3 42 can be divided by 3 because 4+2 = 6 and 3 goes into 6, so 3 goes into 42
4 124 can be divided by 4 because the last two digits 24 can be divided by 4, so 4 goes
into 124
NUMBER DOING TEST DIVIDING
5 25, 130, 205 all end in either 5 or 0, so 5 can go into them
6 84 can be divided by 6 because 84 is even and 8+4=12 which makes it divisible by 3
8 1888 can be divided by 8 because the last three digits 888 can be divided by 8, so 8
goes into 1888
9 756 can be divided by 9 because 7+5+6= 18 and 9 goes into 18, so 9 goes into 108
NUMBER DOING DIVIDING
10 20, 300, 4050 can all be divided by 10 because they all end in zero
25 225, 300, 1475 and 950 all end in either 00, 25, 50 or 75
What is a prime number? A number that can only be divided by 1 and ITSELF
What numbers from 1 to 100 are prime numbers? List them here!
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
Why isn’t 1 a prime number?
1 is not a prime number because it can not be divided by 1 and itself as it is itself. It can
not be both
1) Why is math a language?
Math is a language because it has it’s own system of communication using sounds and symbols.
2) Why is math like dog language?
Math is like dog language because if you say something to your dog it only hears the important things, in math all we need to know is the important things and cut out all of the blah blah blah blah!
Test for divisibility-
20 At the end of every number that has a 20,40,60,80,100, and so on 20 will go into it.
example: 20 will go into 260!
i think this will work :/ Kaley
Test for divisibility
number test example
48 must be divisible by 336-> for 6 it’s even and divisible by 3,
6 and 8 for 8 the last three digits are able to be
divisible by 8
How’s this??
Why is adding integers like gains and losses? Because if I gain something that would be going up but if I lose something that would be going down.
Why is math a language?
Math is a language because It has it’s own meaning.
Why is math like dog language?
only certain words have certain meanings.
Tests For Divisibilty~
45-> Example for 35, the number ends in 5 {test 5} and 4+5=9 and 3 goes into 9 {test 3}
Hey mr. d for pre algebra 5.6 the diagram that we fill out one of them does not make sense its the one that says……..
19 people like holiday food
the answer would be -1 is that right????
What is the difference in meaning between “less than” and “is less than “?
If you say ” 10 less than 5 ” that could mean 10 minus 5 but 5 is less than 10″ would be simply saying that 5 is a smaller number than 10.
Write a sentence that uses the word at the most.
The guy ran 2 miles at the most.
Write a sentence that uses the words at the least.
Give me at last 3 more days to study.
my mom is makeing me do all the test but there hard and the videos help but not that much
Rational means predicable and Irrational means unpredictable.
Hi Riley,
Your answers have been perfect so far!
How are you liking the course up to this point?
Mr. D
The rule for 15: If the number ends in 5 or 0 and the sum of the digits is divisible by 3.
mr d in 6.2 question 3 it says a mixture contains water,juice and soda in the ratio of 3:6:7. if the mixture contains 32 pounds, how many pounds of rice,wheat and corn dose it contain.
witch of the six are the reel ones.
Hi David Michael David
It is the rice wheat and corn!
Part I
In the equation -2x + 8 = -14, what is happening to the variable?x is being added by 8.
Part II
Why do you do the order of operations backward when solving an equation? Because to solve linear equations undo what is being done to the variable.
Why is adding integers like gains and losses?
If I gain something it’s going up, if I lose something it’s going down.