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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 |
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Commutative property of addition |
a+b=b+a 5+3=3+5 8=8 |
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Additive identity property |
The number 0 is the additive identity for the set of real numbers. a+0=0+a=a 9+0=9 |
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Additive inverse property |
For every (a), there exists an additive inverse, (-a),so that a+(-a)=(-a)+a=0 5+(-5)=(-5)+5=0 |
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Associative property of multiplication |
(a*b)*c=a*(b*c) (2*4)*3=2*(4*3) 24=24 |
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Commutative property of multiplication |
a*b=b*a 6*4=4*6 24=24 |
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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 |
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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 |