| A | B |
| additive identity | 5 + 0 = 5 |
| multiplicative identity | 1 (8) = 8 |
| multiplicative property of zero | 4 (0) = 0 |
| multiplicative inverse property | 1/3 ( 3) = 1 |
| additive identity | 0 + 8 = 8 |
| commutative property of addition | 6 + 8 = 8 + 6 |
| commutative property of multiplication | 2 (4) = 4 (2) |
| associative property of addition | 7 + (5 + 3) = (7 + 5) + 3 |
| distributive property | 5 ( 2x + y) = 10 x + 5 y |
| commutative property of addition | ( 5 + 6) + 8 = (6 + 5) + 8 |
| commutative property of multiplication | 6 (8) = 8 (6) |
| associative property of addition | (8 + 5) + 4 = 8 + (5 + 4) |
| associative property of multiplication | 8 (xy) = (8x) y |
| multiplicative identity | 1 (6) = 6 |
| multiplicative property of zero | 0 (5) = 0 |