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## Arithmetic (all content)

### Course: Arithmetic (all content) > Unit 3

Lesson 3: Properties of multiplication- Properties of multiplication
- Properties and patterns for multiplication
- Commutative property of multiplication
- Associative property of multiplication
- Associative property of multiplication
- Distributive property
- Commutative property of multiplication review
- Associative property of multiplication review
- Distributive property review

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# Associative property of multiplication review

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

### What is the associative property?

The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.

**Example:**

Let's start by grouping the start color #11accd, 5, end color #11accd and the start color #11accd, 4, end color #11accd together. We can evaluate the expression step by step.

empty space, left parenthesis, start color #11accd, 5, times, 4, end color #11accd, right parenthesis, times, 2

equals, start color #11accd, 20, end color #11accd, times, 2

equals, 40

equals, start color #11accd, 20, end color #11accd, times, 2

equals, 40

Now let's group the start color #7854ab, 4, end color #7854ab and the start color #7854ab, 2, end color #7854ab together.

empty space, 5, times, left parenthesis, start color #7854ab, 4, times, 2, end color #7854ab, right parenthesis

equals, 5, times, start color #7854ab, 8, end color #7854ab

equals, 40

equals, 5, times, start color #7854ab, 8, end color #7854ab

equals, 40

Regrouping does not change the answer!

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

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

## Want to join the conversation?

- The problem is that I sometimes get confused and the answer is wrong(14 votes)
- Its okay just keep trying and you'll get it done in under 30 seconds. =D(14 votes)

- why did it put the answer for the wrong equation if he made the mistake in step 2 the answer should of been 80, 80 was the correct answer(3 votes)
- y=-3 0(-3)+(-7) 8,345.271(3 votes)
- why was it so easy love it(3 votes)
- why did it push me back when I went to another Question It is very hard why(3 votes)
- how do u find the answer(3 votes)
- i am not getting this a little bit(3 votes)
- The questions are easy if you do them more and more.(3 votes)
- I don't understand the difference from Commutative and Associative because both deal with you moving the numbers in the problem and the equation still has the same answer, I was just wondering.(3 votes)
- What's the main difference between the words communitive and associative? Aren't both meaning "order doesn't matter"?(2 votes)
- The commutative property tells you that you can change the order of the numbers when adding or when multiplying. It basically let's you move the numbers.

2 + 3 + 5 = 5 + 3 + 2 = 2 + 5 + 3, etc.

The associative property lets us change the grouping, or move grouping symbols (parentheses). It does not move / change the order of the numbers.

(2 + 3) + 5 = 2 + (3 + 5).

When you combine the 2 properties, they give us a lot of flexibility to add numbers or to multiply numbers.(2 votes)