Properties of Operation

2 + 3 = 3 + 2 What MATH is taking place? What PROPERTY is this? Numbers are reversed around the addition sign in an addition problem What PROPERTY is this? Commutative Property of Addition

Commutative Property of Multiplication 4 • 3 = 3 • 4 What MATH is taking place? Numbers are reversed in a multiplication problem What PROPERTY is this? Commutative Property of Multiplication

Associative Property of Addition 7 + (2 + 1) = (7 + 2) + 1 What MATH is taking place? only the parenthesis move position when adding 3 or more terms What PROPERTY is this? Associative Property of Addition

Associative Property of Multiplication 3 • (2 • 4) = (3 • 2) • 4 What MATH is taking place? only the parenthesis move position when multiplying 3 or more terms What PROPERTY is this? Associative Property of Multiplication

Additive Identity Property 3 + 0 = 3 What MATH is taking place? A number added to 0 always equals the original number. What PROPERTY is this? Additive Identity Property

Multiplicative Identity Property 8 • 1 = 8 What MATH is taking place? A number multiplied by 1 always equals the original number. What PROPERTY is this? Multiplicative Identity Property

6 • 0 = 0 What MATH is taking place? What PROPERTY is this? Multiplying any number by 0 always equals 0. What PROPERTY is this? Zero Product Property

Additive Inverse Property 5 + (-5) = 0 What MATH is taking place? Two opposites add to always equal 0. What PROPERTY is this? Additive Inverse Property

Multiplicative Inverse Property 2 • ½ = 1 What MATH is taking place? Two reciprocals multiplied always equal 1. What PROPERTY is this? Multiplicative Inverse Property

Distributive Property 5(2 + 4) = 5•2 + 5•4 What MATH is taking place? Multiplication over addition/subtraction, each term is multiplied by the same number. What PROPERTY is this? Distributive Property