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Alg Properties All
Algebraic properties with examples
| example | property |
|---|---|
| 6 + 0 = 6 | Additive Identity Property |
| 8k = 8k | Reflexive Property |
| 7(2x + 5) = 14x + 35 | Distributive Property |
| (5 + 2) + 18 = 5 + (2 + 18) | Associative Property of Addition |
| e + -e = 0 | Additive Inverse |
| If 6(7) = 42 then 42 = 6(7) | Symmetric Property |
| g = 1g | Multiplicative Identity Property |
| 4(0) = 0 | Multiplicative Property of Zero |
| 5(8*3) = (5*8)*3 | Associative Property of Multiplication |
| (3 + 8)n = 11n | Substitution Property |
| x + 4 = 4 + x | Commutative Property of Addition |
| If 2*9 = 18 and 18 = 17 + 1 then 2*9 = 17 + 1 | Transitive Property |
| 8(1/8) = 1 | Multiplicative Inverse Property |
| 8(9) = 9(8) | Commutative Property of Multiplication |