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Patterns + Functions


The properties of addition can help you to add quickly and correctly.

Changing the order of the addends does not change the sum.
addend + addend = sum

2 + 4 = 6 4 + 2 = 6  
Think: "order." Commutative Property

 

Changing the grouping of the addends does not change the sum.

(2 + 3) + 4 = 9 2 + (3 + 4) = 9
5 + 4 = 9 2 + 7 = 9
Think: "grouping." Associative Property


Examples

associative property

commutative property

(1 + 2) + 3

= 1 + (2 + 3)

3 + 5    

= 5 + 3

3 + 3

= 1  + 5

3 + 5 = 8  

 5 + 3 = 8

6

 = 6

= 8

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

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