Download Name: Date: Period:______ Properties of Numbers worksheet

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Name:_____________________________________
Date:_____________________
Period:______
Properties of Numbers worksheet
Name the property that each equation illustrates.
83 + 6 = 6 + 83
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1 ∙4� = 4�
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x + (-x) = 0
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6 (x y) = (6 x) y
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x+y=y+x
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7(3 + 4y) = 21 + 28y
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ab + c = ba + c
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15x + 15y = 15(x + y)
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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
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