| A | B |
|---|
| 5 + 2 = 2 + 5 | Commutative Property of Addition |
| 11 • 6 = 6 • 11 | Commutative Property of Multiplication |
| a + b = b + a | Commutative Property of Addition |
| a • b = b • a | Commutative Property of Multiplication |
| 5•(3 + 4) = (5 • 3) + (5 • 4) | Distributive Property |
| 6 + 0 = 6 | Identity Property of Addition |
| 7 • 1 = 7 | Identity Property of Multiplication |
| 9 • 0 = 0 | Zero Property |
| (3 + 2) + 5 = 3 + (2 + 5) | Associative Property of Addition |
| (3 • 2) • 5 = 3 • (2 • 5) | Associative Property of Multiplication |
| Commutative Property | Changing the order of the terms does not change the answer |
| Associative Property | Re-Grouping the terms does not change the answer |
| Identity Property of Addition | Adding 0 to a number does not change the number |
| Identity Property of Multiplication | Multiplying a number by 1 does not change the number |
| Zero Property | 0 time any number equals 0 |
| Inverse Property of Addition | 3 + (-3) = 0 |
| Inverse Property of Addition | -a + a = 0 |
| Inverse Property of Additon | Any number plus its opposite equals the number |
| Inverse Property of Multiplication | 4/3 • 3/4 = 1 |
| Inverse Property of Multiplication | a • 1/a = 1 |
| Inverse Property of Multiplication | Any number times its reciprocal equals 1 |
| Equality Properties | Whatever you do to one side of the equation you MUST do to the other |
