| A | B |
| Associative Property of Multiplication | (ab)c = a(bc) |
| Associative Property of Addition | (a + b) +c = a + (b + c) |
| Commutative Property of Multiplication | (ab)c = c(ab) |
| Commutative Property of Addition | (a + b) +c = c + (a + b) |
| Identity Property of Multiplication | 1(ab) = ab |
| Identity Property of Addition | (a + b) + 0 = a + b |
| Distributive Property | a(b + c) = ab + ac |
| Inverse Property of Multiplication | (a/b)(b/a) = 1 |
| Inverse Property of Addition | -a + a = 0 |
| Zero Product Property | (ab) * 0 = ab |