7) Properties LT# 1E

Commutative Property Addition and Multiplication are commutative Commute = move around Commutative Property Addition and Multiplication are commutative Changing the order does not change the result 5 + 3 = 3 + 5 (6)(7)(2) = (7)(2)(6)

Associative Property Addition and Multiplication are associative Grouping does not change the result (6 + 3) + 7 = 6 + (3 + 7) 5(14 · 2) = (5 · 14)(2)

Identity Properties Answer stays the same Identity = identical Identity Properties Answer stays the same Zero is the additive identity 6 + 0 = 6 x + 0 = x One is the multiplicative identity 2 (1) = 2 a (1) = a

Distributive Property “to share” 5 (x + y) = 5x + 5y 6 (15) = 6(10) + 6(5) 10 (2 – 6) = 10(2) – 10(6)

Inverse Properties “undoes” the operation Additive Inverse: 6 + -6 = 0 Multiplicative Inverse: 6 · = 1