Real Numbers Adding & Properties

The Commutative Property states that when adding or multiplying two or more numbers or terms, order is not important. That is:

The Associative Property states that when adding or multiplying three or more numbers or terms together, grouping is not important. That is:

The Identity Property of Addition states that adding 0 to any expression leaves the expression unchanged.

• 3 + 0 = 3

• 5 + 0 = 0

• 7 + 0 = 70

• 3 + 0 = 3

The Identity Property of Multiplication states that multiplying any expression by 1 leaves the expression unchanged.

• 8(1) = 8

• 10(1) = 11

• 5(1) = 51

• 6(1) = 6

The Additive Inverse Property states that for every number a there is a number −a such that a + (−a) = 0.

• 5 + (-5) = 0

• 6 + (-6) = -12

• 2 + (-2) = 0

• 8 + (-7) = 0

-13 + 5

• -8

• -7

• 7

• 8

5 - (-6)

• 11

• 10

• -11

• -10

-27 + 29

• -2

• -1

• 1

• 2