Is the commutative property or the associative property related to the distributive property I dont really Know?

They're each their own property and they are all related to each other. They're all used together in some ways when simplifying expressions.

what is really different between communtive and associative property

*COMMUTATIVE* property states that two numbers can be added or multiplied in any order which will have no effect on the sum or the product of the number.For ex. 2*5=10 and 5*2 also equals 10. and *ASSOCIATIVE* property states that while adding or multiplying three numbers they can be grouped in any order without having any effect on the answer. For ex.2*(5*6)=60 and also (2*5)*6=60.

What if your math teacher teaches you, a different way, and she can't even tell me what to do if the sentence says 7+2n=? or 2(7+n)=? What can i do?

Eyal Meltser is correct, however I believe the answer is 14 + 2n because you multiply both 7 and n by 2. Perhaps if I am mistaken please correct me and explain why that is so. Thanks! :D

How distributive property help??

It makes algebra much easier, because one can factor everything out much more easily.

Why is there something called distributive property in math? Why is it important?

When you 1st learn the distributive property working with just numbers, it may appear like it isn't needed. If you had something like "3 (5 + 2)", it is just as easy to add, then multiply as to apply the distributive property. However, when you start working with variables and numbers in algebra, the distributive property is often the only way to eliminate parentheses and satisfy PEMDAS requirements. You'll learn more about this when you get into algebra.

Main content

Course: 6th grade foundations (Eureka Math/EngageNY) > Unit 4

Lesson 1: Topic A & D: Foundations

Distributive property review

Google Classroom

Review the basics of the distributive property, and try some practice problems.

What is the distributive property?

The distributive property says that in a multiplication problem, when one factor is rewritten as the sum of two numbers, the product doesn't change.

Using the distributive property allows us to solve two simpler multiplication problems.

Example:

We can change

4 \times 12

into

4 \times (10 + 2)

The

4

gets distributed to the

10

and

2

and the problem changes to:

(4 \times 10) + (4 \times 2)

The array of dots on the left shows

(4 \times 10)

. The array of dots on the right shows

(4 \times 2)

Now we can add the expressions to find the total.

(4 \times 10) + (4 \times 2)

= 40 + 8

= 48

Want to learn more about the distributive property? Check out this video.

Want to know why the distributive property is helpful? Check out this article.

Practice

Problem 1

The dots below represent

12 \times 2

. They are broken up into two groups.

Which expression can we use to calculate the total number of dots?

Want to try more problems like this? Check out this exercise.

Want to join the conversation?

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Karl Pm
Posted 7 years ago. Direct link to Karl Pm's post “Is the commutative proper...”
Is the commutative property or the associative property related to the distributive property I dont really Know?
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(9 votes)
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- jude4A
  Posted 7 years ago. Direct link to jude4A's post “They're each their own pr...”
  They're each their own property and they are all related to each other. They're all used together in some ways when simplifying expressions.
  Button navigates to signup page
  (15 votes)
Taemin Lim
Posted 7 years ago. Direct link to Taemin Lim's post “What if your math teacher...”
What if your math teacher teaches you, a different way, and she can't even tell me what to do if the sentence says 7+2n=? or 2(7+n)=? What can i do?
Button navigates to signup pageComment on Taemin Lim's post “What if your math teacher...”
(3 votes)
Answer
- sara fowall
  Posted 5 years ago. Direct link to sara fowall's post “Eyal Meltser is correct, ...”
  Eyal Meltser is correct, however I believe the answer is 14 + 2n because you multiply both 7 and n by 2. Perhaps if I am mistaken please correct me and explain why that is so. Thanks! :D
  Button navigates to signup page
  (2 votes)
meghan jean francois
Posted 5 years ago. Direct link to meghan jean francois's post “what is really different ...”
what is really different between communtive and associative property
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(4 votes)
Answer
- AAYUSH PATEL
  Posted 5 years ago. Direct link to AAYUSH PATEL's post “*COMMUTATIVE* property st...”
  COMMUTATIVE property states that two numbers can be added or multiplied in any order which will have no effect on the sum or the product of the number.For ex. 2*5=10 and 5*2 also equals 10. and
  ASSOCIATIVE property states that while adding or multiplying three numbers they can be grouped in any order without having any effect on the answer. For ex.2*(5*6)=60 and also (2*5)*6=60.
  Comment on AAYUSH PATEL's post “*COMMUTATIVE* property st...”
  (6 votes)
Vinisha Umashankar
Posted 7 years ago. Direct link to Vinisha Umashankar's post “Why is there something ca...”
Why is there something called distributive property in math? Why is it important?
Button navigates to signup pageComment on Vinisha Umashankar's post “Why is there something ca...”
(0 votes)
Answer
- Kim Seidel
  Posted 7 years ago. Direct link to Kim Seidel's post “When you 1st learn the di...”
  When you 1st learn the distributive property working with just numbers, it may appear like it isn't needed. If you had something like "3 (5 + 2)", it is just as easy to add, then multiply as to apply the distributive property. However, when you start working with variables and numbers in algebra, the distributive property is often the only way to eliminate parentheses and satisfy PEMDAS requirements. You'll learn more about this when you get into algebra.
  Comment on Kim Seidel's post “When you 1st learn the di...”
  (16 votes)
hannah yoo
Posted 7 years ago. Direct link to hannah yoo's post “How distributive property...”
How distributive property help??
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(2 votes)
Answer
- Bėñ Ⓡìvęɍś (don't click me)
  Posted 7 years ago. Direct link to Bėñ Ⓡìvęɍś (don't click me)'s post “It makes algebra much eas...”
  It makes algebra much easier, because one can factor everything out much more easily.
  Button navigates to signup page
  (8 votes)
dramirez2022
Posted 6 years ago. Direct link to dramirez2022's post “Distributive property for...”
Distributive property for 50x50
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(5 votes)
Answer
slipperymachomp
Posted 5 years ago. Direct link to slipperymachomp's post “the formatting of these q...”
the formatting of these questions makes a lot sense to me but the thing i am confused on is and adding the equal sign with the two answers of the numbers. I juts usually end up winding the answer without the format
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(4 votes)
Answer
Syed Ali Qasim
Posted 5 years ago. Direct link to Syed Ali Qasim's post “what if you knew all the ...”
what if you knew all the problems do you still have to use the distributive property
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(3 votes)
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m.hunt2
Posted 4 years ago. Direct link to m.hunt2's post “can we do more this is fu...”
can we do more this is fun
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(3 votes)
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Liz
Posted 5 years ago. Direct link to Liz's post “Okay so I found out that ...”
Okay so I found out that I just clicked the wrong one it would be multiplied I clicked addition not reading it right
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(3 votes)
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