Associative Property of addition and multiplication

Associative Property

​of multiplication and addition

What is the associative property?

When you have three or more factors, you can group them in different ways to multiply or add in parts and still get the same product.

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Ex: 2 x (3 x 4) = (2 x 3) x 4 Ex: 5 + (6 + 7) = ( 5 + 6) + 7

2 x 12 = 6 x 4 5 + 13 = 11+7

24 = 24 18 = 18

Multiple Choice

When looking at the associative property we should focus on...

• where the parentheses are

• the order of the factors

• how the factors are grouped

• All of the above

Let's do one together!

4 x (1 x 5) = ___________

4 x (1 x 5) = (4 x 1) x 5

4 x 5 = 4 x 5

Multiple Choice

Which one is the associative property to:

(8 x 2) x 4

• 4 x 2 x 8

• (4 x 2) x 8

• 8 x (2 x 4)

• (8 x 2) x4

Multiple Choice

Which one is the associative property to:

6 + (3 + 2)

• (6 + 2) + 3

• (6 + 3) + 2

• 6 + (2 + 3)

• 6 + (3 2)

Look at the factors, group them in a different way, multiply in parts and find the product for: (4 x 2) x 5 = ________

Step 1: (4 x 2) x 5 = 4 x (2 x 5)

Step 2: 8 x 5 = 4 x10

Step 3: 40 = 40

Open Ended

Look at the factors, group them in a different way, multiply in parts and find the product for (2 x 8) x 1 = _________

Open Ended

Look at the factors, group them in a different way, add in parts and find the sum for (2 + 1) + 3 = ______

Multiple Choice

Can you use the associative property with subtraction?

(in other words, does the order matter?)

• yes the order matters because 

  (3-2)-1 $$\ne$$  3-(2-1)

• no the order doesn't matters because 

  (3-2)-1 $$=$$  3-(2-1)

Multiple Choice

Can you use the associative property with division?

(in other words, does the order matter?)

• yes the order matters because 

  $$\left(40\div10\right)\div5\ne40\div\left(10\div5\right)$$  

• no the order doesn't matters because 

  $$\left(40\div10\right)\div5=40\div\left(10\div5\right)$$  

Multiple Choice

Can you use the associative property with subtraction?

(in other words, does the order matter?)

• yes the order matters because 

  (3-2)-1 $$\ne$$  3-(2-1)

• no the order doesn't matters because 

  (3-2)-1 $$=$$  3-(2-1)

Open Ended

Summarize the associative property in 2-3 sentences.