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18 Cards in this Set
- Front
- Back
Distributive Property of Multiplication over Addition
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c(a+b) = ca + cb
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Distributive Property of Multiplication over Subtraction
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c(a-b) = ca - cb
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Opposites of Opposites Property
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-(-a) = a
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Multiplication Property of -1
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a*-1 = -1*a = -a
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Opposite of a Sum Property
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-(a+b) = -a+(-b) = -a-b
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Opposite of Difference Property
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-(a-b) = -a+b
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Addition Property of Equality
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If a = b, then a+c = b+c
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Subtraction Property of Equality
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If a = b, then a-c = b-c
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Related Facts Property of Addition and Subtraction
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If a+b = c, then b+a = c , c-b = a, and c-a = b
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Additive Inverse Property
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a+0 = 0+a = a
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Additive Inverse Property
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a + -a = -a + a = 0
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Multiplication Property of Equality
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If a = b, then ca = cb
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Division Property of Equality
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(c can't be zero)
If a = b, then a/c = b/c |
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Related Facts Property of Multiplication and Division
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(a,b, and c cant be zero)
If ab = c, then ba = c, c/b = a, and c/a = b |
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Multiplication Property of Zero
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a*0 = 0*a = 0
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Zero Product Property
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If the product of two real numbers a and b is 0, then a = 0, b = 0, or both a and b equal zero.
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Multiplicative Identity Property
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a*1 = 1*a = a
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Multiplicative Inverse Property
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(where a does NOT equal 0)
a*1/a = 1/a*a = 1 |