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12 Cards in this Set
 Front
 Back
additive inverse

for any number (a), the sum of a and 0 is a.
a+0=0+a=0 

multiplicative identity

for any number (a), the product of a and 1 is a.
a*1=1*a=a 

multiplicative property of zero

for any number (a), the product of a and 0 is 0.
a*0=0*a=0 

multiplicative inverse (reciprocals)

for any number (a/b), where a=0 and b=0, there is exactly one number (b/a) such that the product of a/b and b/a is 1.
a/b*b/a=1 

what is zero's reciprocal?

zero has no reciprocal because any number times zero is zero.


reflexive property

any quantity is equal to itself.
a=a 

symmetric property

if one equals a secound quantity, then the second quantity equals the first.
if a=b then b=a 

transitive property

if one quantity equals a second quantity and the second equals the third, then the first equals the third.
if a=b, and b=c, then a=c 

subsituation property

a quantity may be substituated for its equal in any expression.
if a=b, then a may be replaced by b in any expression 

distributive property

for any numbers (a,b,c)
a(b+c)= ab+ac a(bc)= abac 

commutative property

the order in which you add or multiply numbers doesnt change the sum or product.
a+b=b+a a*b=b*a 

associative property

the way you group 3 or more numbers when adding or multiplying doesnt change the sum or product.
a+b)+c=a+(b+c) (ab)c=a(bc) 