| A | B |
| Commutitive Property of Addition | -12 + 18 = 18 + (-12) |
| Commutative Property of Multiplication | 5(-9)(2) = 5(2)(-9) |
| Associative Property of Addition | 5 +(15 + 18) = (5 + 15) +18 |
| Associative Property of Multiplication | [(-6)(8)](5) = (-6)[(8)(5)] |
| Inverse Property of Addition | 121 + (-121) = 0 |
| Inverse Property of Multiplication | 16(1/16) = 1 |
| Identity Property of Addition | (-5/8) + 0 = -5/8 |
| Identity Property of Multiplication | 1(36) = 36 |
| Additive Inverse | the opposite of the integer |
| Multiplicative Inverse | the reciprocal (flip) of the number |
| Additive Identity | 0 |
| Multiplicative Identity | 1 |
| 3(4 + 3) | 3(4) + 3(3) |
| -15(12 - 9) | -15(12) - (-15)(9) |
| 8(12) + 8(9) | 8(12 + 9) |
| 4(3/5 + 2/5) | 4(3/5) + 4(2/5) |
| 3(7) - 4(7) | (3 + 4)(7) |