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Name:_____________________________________ Date:_____________________ Period:______ Properties of Numbers worksheet Name the property that each equation illustrates. 83 + 6 = 6 + 83 ____________________________________________________ 1 ∙4� = 4� ____________________________________________________ x + (-x) = 0 ____________________________________________________ 6 (x y) = (6 x) y ____________________________________________________ x+y=y+x ____________________________________________________ 7(3 + 4y) = 21 + 28y ____________________________________________________ ab + c = ba + c ____________________________________________________ 15x + 15y = 15(x + y) ____________________________________________________ ____________________________________________________ Write the number that makes each statement true. 27 + _________ = 12 + 27 (8 + 20) + 9 = _______ + (20 + 9) 9(8 – 5) = _______ 8 - ________ 5 8 3 (9 6) = (3 9) ________ (______ 6 ) + (_______ 4) = 7(6 + 4) 10 = 10 _________ Give a reason to justify each step. 4c + 3(2 + c) Justification 4c + 6 + 3c 4c + 3c + 6 (4c + 3c) + 6 (4 + 3)c + 6 7c + 6 5(x + y) + 2(x + y) Justification 5x + 5y + 2x + 2y 5x + 2x + 5y + 2y (5 + 2)x + (5 + 2)y 7x + 7y 8w – 4(7 – w) Justification