| A | B |
|---|
| Multiplicative Inverse Property | a x 1/a = 1 |
| Commutative Property of Addition | a + b = b + a |
| Commutative Property of Multiplication | a x b = b x a |
| Associative Property of Addition | (a + b) + c = a + (b + c) |
| Associative Property of Multiplication | (a x b) x c = a x (b x c) |
| Distributive Property | a(b + c) = ab + ac |
| Reflexive Property | a = a |
| Symmetric Property | If a = b, then b=a |
| Transitive Property of Equality | If a = b and b = c, then a =c. |
| Transitive Property of Inequality | If a>b and b>c, then a>c, and if a<b and b<c, then a<c. |
| Closure Property | When we perform an operation upon a given set of numbers, the result is always a member of that given set. |
| Addition Property of Equality | If a=b, then a + c = b + c. |
| Subtraction Property of Equality | If a=b, then a - c = b - c. |
| Multiplication Property of Equality | If a=b, then a x c = b x c. |
| Division Property of Equality | If a=b, then a/c = b/c, where c not= 0. |
| Substitution Property | If a=b, then 'a' may be replaced with 'b' in any algebraic expression. |
