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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)

Commutative property of addition

a+b=b+a


2+3=3+2

Additive identity property

The number 0 is the additive identity for the set


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



Associative property of multiplication

(a x b) x c= a x (b x c)


(1 x 2) x 3=1 x (2 x 3)

Commutative property of multiplication

a x b=b x a


7 x 1=1 x 7

Multiplicative identity property

The number 1 is the multiplication identity for the set of real numbers


a x 1=1 x a=a


2 x 1=1 x 2=2

Multiplicative inverse property

For every a not equal to 0, there exists a multiplicative inverse, 1/a, so that a x 1/a=1/a x a=1

Distributive property of multiplication over addition and subtraction

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


a x (b-c)= a x b-a x c


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