| A | B |
| Commutative Property for Addition | a + b = b + a |
| Commutative Property for Multiplication | a x b = b x a |
| Associative Property for Addition | a + (b + c) = (a + b) + c |
| Associative Property for Multiplication | a x (b x c) = (a x b) x c |
| Distributive Property | a (b + c) = ab + ac |
| Additive Inverses | n + (-n) = 0 |
| Additive Identity | n + 0 = n |
| Multiplicative Identity | n • 1 = n |
| Zero Property for Multiplication | n • 0 = 0 |
| Subtraction with Integers | a - b = a + (-b) (add the opposite) |
| Multiplicative Inverse | 5 • (1/5) = 1 |