ABDistributive Property (Numbers)3(5 + 2) = 15 + 6Commutative Property of Addition (Numbers)3 + 7 = 7 + 3Commutative Property of Multiplication (Numbers)2 • 10 = 10 • 2Associative Property of Addition (Numbers)5 + (6 + 7) = (5 + 6) + 7Associative Property of Multiplication (Numbers)6 • (3 • 2) = (6 • 3) • 2Additive Identity (Numbers)6 + 0 = 6Additive Inverse (Numbers)5 + (-5) = 0Multiplicative Identity (Numbers)5 • 1 = 5Multiplicative Inverse (Numbers)8 • (1/8) = 1Reflexive Property (x)x + 4 = x + 4Distributive Property (x)x • (4 + 6) = 4•x + 6•xCommutative Property of Addition (x)(x + 6) + 5 = (6 + x) + 5Commutative Property of Multiplication (x)(5a) • b = b • (5a)Associative Property of Addition (x)(x + y) + 3 = x + (y + 3)Associative Property of Multiplication (x)(6x) • y = 6 • (xy)Additive Identity (x)x + 0 = xAdditive Inverse (x)b + (-b) = 0Multiplicative Identity (x)x • 1 = xMultiplicative Inverse (x)x • (1/x) = 1Reflexive Property (Numbers)2 = 2Symmetric Property (Numbers)If 2 + 6 = 8, then 8 = 2 + 6Symmetric Property (x)If b = 3, then 3 = bTransitive Property for x and bIf x = b and b = 3, then x = 3Transitive Property for a and cIf a = b + 4 and b + 4 = c, then a = cSubstitution Property (Numbers)(5 + 3) • 2 = 8•2Substitution Property (x)(7 - 4) • x = 3xMultiplicative Property of Zero (Numbers)9 • 0 = 0Multiplicative Property of Zero (x)a • 0 = 0
