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18 Cards in this Set

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