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9 Cards in this Set

  • Front
  • Back

Associative property of addition

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


(5+4)+2=5+(4+2)


11=11

Commutative property of addition

a+b=b+a


5+3=3+5


8=8

Additive identity property

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


a+0=0+a=a


9+0=9



Additive inverse property

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


5+(-5)=(-5)+5=0

Associative property of multiplication

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


(2*4)*3=2*(4*3)


24=24

Commutative property of multiplication

a*b=b*a


6*4=4*6


24=24

Multiplicative identity property

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


a*1=1*a=a


3*1=1*3=3


3=3

Multiplicative inverse property

For every a≠0,there exists a multiplicative inverse,1/a, so that
a*1/a=1/a*a=1
4*1/4=1/4*4=1
1=1=1

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Distributive property of multiplication over addition and subtraction

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


2*(1+4)=2*1+2*4 2*(1-4)=2*1-2*4


10=10 -6=-6