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### Course: Arithmetic>Unit 2

Lesson 8: Associative property of multiplication

# Associative property of multiplication

Let's explore the associative property of multiplication! This video demonstrates that the order of multiplying numbers doesn't affect the result, using examples like 4 x 5 x 2. The associative property simplifies math.

## Want to join the conversation?

• Is there a difference between the associative and commutative laws? They seem to say the same thing--order does not matter.

The only difference I see is the parentheses in the associative law which is explicitly "associating" two numbers together.
• The commutative property lets you change the order of the numbers. This is the one that tells you that the order does not matter.
Example: 2 * (3 * 5) = (3 * 5) * 2
In this example: the "2" moved, but the parentheses still contain their same numbers.

The associative property tells use that we can regroup (move parentheses).
Example: 2 * (3 * 5) = (2 * 3) * 5
In this example, we regroup by moving the parentheses to now contain 2*3 rather than 3*5

The combination of these 2 properties lets us regroup and change the order of numbers being multiplied and we still get the same result.
• what is the direct simplification of the defenition of what the associative property is? I don't understand this definition.
• The associative property of multiplication let's us move / change the placement of grouping symbols. It does not move the numbers.
For example: (2 x 4) x 5 can be changed into 2 x (4 x 5)
Both expressions create the same result.
• This means that
(5 X 3) X 4 = (5 X 4) X 3 = (4 X 3) X 5
Is is correct ?
• (5x3) x4 = (5x4) x3 = (4x3) x5
The above statement is true.
• Does that mean that it could be written in different order and still be the same answer?
• YES that is exactly what it means!
• does anyone just love math after once hating it and saying that you would hate it for eternity
• I problably did. Without Sal, I would be hating it right now.
• How do you use Associative property of Multiplication with 4 nummbers
(1 vote)
• you do the same thing, like 3x2x9x7 = 378 7x2x9x3 = 378
• Thank you this helped me so much