click below
click below
Normal Size Small Size show me how
Algebraic Properties
Properties used in algebra
Property | Definition |
---|---|
Associative Property of Addition | (3 + 4) + 9 = 3 + (4 + 9) |
Reflexive Property | 841 = 841 |
Identity Property of Addition | m + 0 = m |
Addition Property of Equality | x = 7, so x + 3 = 10 |
Commutative Property of Multiplication | 4(ab) = 4(ba) |
Definition of Subtraction | 4 - 7 = 4 + (-7) |
Associative Property of Multiplication | (4a)*b = 4(ab) |
Inverse Property of Multiplication | 8(1/8) = 1 |
Multiplication Property of Equality | a = 4, so 3a = 12 |
Distributive Property | 3x - 18 = 3(x - 6) |
Identity Property of Multiplication | 79(1) = 79 |
Symmetry | If q = 4, then 4 = q. |
Commutative Property of Addition | 3 + 7 + 12 = 12 + 7 + 3 |
Transitive Property | If a = 3 and 3 = b, then a = b. |
Inverse Property of Addition | 42 + (-42) = 0 |