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Addition

Three Properties of Addition

• Identity Property

• Commutative Property

• Associative Property

Identity Property

Any number added to zero is equal to the number itself

Example

3 + 0 = 3

0 + 6 = 6

12 + 0 = 12

0 + 15 = 15

23 + 0 = 23

Commutative Property

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

Example

3 + 4 = 7

4 + 3 = 7

8 + 9 = 17

9 + 8 = 17

Associative Property

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

Example

3 + (4 + 5) = 12

(3 + 4) + 5 = 12

(7 +

Commutative Property

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

Example

3 + 2 = 5

2 + 3 = 5

8 + 7 = 15

7 + 8 = 15