1 3 Properties of Real Numbers Objective Identify

1. 3 Properties of Real Numbers Objective: Identify & Use the Properties of Real Numbers to Evaluate Expressions

Commutative The order in which you ____ or _____ numbers does not change their ____ or ______. a + b = b + a a x b = b x a Examples 5 + 4 = ___ + ___ 2 x 3 = ___ x ___ + ___ = ___ + ___

Associative The way you _______ three or more numbers when adding or multiplying does not change their ______ or ______. a + (b + c) = (a + b) + c a x (b x c) = (a x b) x c Examples 5 + (4 + 2) = ______ 3 x (6 x 4) = _____________ = _______

Additive & Multiplicative Identity “You do not want to ______ your _____!” If your identity is “____” you still want to be “____” after the mathematical expression is completed. a + IDENTITY = ___ a x IDENTITY = ___

Practice Additive Identity 2 + __ = 2 5. 3 + __ = 5. 3 -169 + __ = 169 Additive Identity will ALWAYS be ______

Multiplicative Identity 2 x __ = 2 5. 3 x __ = 5. 3 -169 x __ = 169 Multiplicative Identity will ALWAYS be _____

Practice: Find the Additive & Multiplicative Identity Given Additive Multiplicative

Inverse The _______ inverse is always the __________ of your number. a + INVERSE = _____ The ________inverse is always the ___________ of your number. a x INVERSE = ____

Additive Inverse 2 + __ = 0 5. 3 + __ = 0 -169 + __ = 0 Additive Inverse will ALWAYS be ______________

Multiplicative Inverse 2 x __ = 1 (2/3) x __ = 1 -169 x __ = 1 Multiplicative Inverse will ALWAYS be ______________

Identify the Properties

Identify the Properties

Identify the Properties

Closure Write an expression representing the commutative property.