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Patterns + Functions


 

The properties of multiplication can help you to multiply quickly and correctly.

Changing the order of the factors does not change the product.

rows: 4 groups of 2 rows: 2 groups of 4  
4 x 2 = 8 2 x 4 = 8
Think: "order." Commutative Property

 

Changing the grouping of the factors does not change the product.

rows: 3 groups of 2 rows: 2 groups of 3
columns: 6 groups of 3 columns: 6 groups of 3
(3 x 2) x 3 = 18 3 x (2 x 3) = 18
   
Think: "grouping." Associative Property


Examples

associative property

commutative property

(2 x 3) x 4 = 2 x (3 x 4)

8 x 5 = 5 x 8

6 x 4 = 2  x 12

8 x 5 = 40

24 = 24

5 x 8 = 40

  Let's Practice!
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Remember: Multiply the number in parentheses ( ) first.

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