| A | B |
| (a + b) + c = a + (b + c ) | Associative Property of Addition |
| a * (b * c) = (a * b) * c | Associative Property of Multiplication |
| a + b = b + a | Commutitive Property of Addition |
| a * b = b * a | Commutitive Property of Multiplication |
| a ( b + c)= ab + ac | Distributive Property |
| a + 0 = a / a * 0 = 0 | Property of Zero |
| a * 1 = a | Property of one |
| a/b * b/a= 1 | Multiplicative reciprocals |