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

Lesson 3: Properties of multiplication

# 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:
$5×4×2$
Let's start by grouping the $5$ and the $4$ together. We can evaluate the expression step by step.
$\phantom{=}\left(5×4\right)×2$
$=20×2$
$=40$
Now let's group the $4$ and the $2$ together.
$\phantom{=}5×\left(4×2\right)$
$=5×8$
$=40$
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.

## Practice

Problem 1
Which expressions are equivalent to $\left(9×2\right)×5$ ?
Choose all answers that apply:

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

## Want to join the conversation?

• The problem is that I sometimes get confused and the answer is wrong
• Its okay just keep trying and you'll get it done in under 30 seconds. =D
• 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
• y=-3 0(-3)+(-7) 8,345.271
• why was it so easy love it
• why did it push me back when I went to another Question It is very hard why
• how do u find the answer
• i am not getting this a little bit
• The questions are easy if you do them more and more.