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9 Cards in this Set

  • Front
  • Back

Associative Property of Addition

(a+b) + c = a + (b+c)


(1+2) + 3 = 1 + (2+3)


3 + 3 = 1 + 5


6 = 6

Commutative Property of Addition

a + b = b + a


1 + 2 = 2 + 1


3 = 3

Additive Identity Property

The number 0 is the additive identity for the set of real numbers.


a + 0 = 0 + a = a


1 + 0 = 0 + 1 = 1


Additive Inverse Property

For every a, there exists an additive inverse, -a, so that a + (-a) = (-a) +a = 0.


(a*b)*c=a*(b*c)


a*b=b*a



Association Property of Multiplication

(a*b)c = a(b*c)


(1*2)3 = 1(2*3)


2*3 = 1*6


6 = 6

Commutative Property of Multiplication

a*b = b*a


1*2 = 2*1


2 = 2

Multiplicative Identity Property

The number one is the multiplicative identity for the set of real numbers.


a*1 = 1*a = a


2*1 = 1*2 = 2

Multiplicative Inverse Property

For every a≠ 0, there exists a multiplicative inverse, 1/a, so that a*1/a = 1/a *a =1

Distributive Property of Multiplication over Addition and Subtraction

a*(b+c)=a*b+a*c


a*(b-c)=a*b-a*c