| A | B |
| Commutative property of addition | 2+3 = 5 3+2 = 5 |
| Commutative property of multiplication | 4 x 5 = 20 4 x 5 = 20 |
| Identity property of addition | y + 0 = y |
| Identity property of multiplication | y x 1 = 1 |
| Associative property of addition | (a+b)+c = a+(b+c) |
| Associative property of multiplication | (a x b) x c = a x (b x c) |
| Property of zero for multiplication | k x 0 = 0 |
| Distributive property of multiplication | a(b + c) = ab+ac a(b - c) = ab-ac |