| A | B |
|---|
| a * 0 = 0 | zero property of multiplication |
| b(1) = b | identity property of multiplication |
| c * (d * e) = (c * d) * e | associative property of multiplication |
| f * g = g * f | commutative property of multiplication |
| h x (i + j) = h(i) + h(j) | distributive property of multiplication and addition |
| k + 0 = k | identity property of addition |
| m + (n + p) = (m + n) + p | associative property of addition |
| q + r = r + q | commutative property of addition |
