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### 10 Cards in this Set

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 for all real numbers a and b a+b=b+a communitive property of addition for all real numbers,a,b,andc, if a=b and b=c then a=c transitive property for all real numbe a: a*0=0 and 0*a=0 multiplicitave property of zero for all real numbers a,b, and c (ab)c=a(bc) associative property of multiplication if a is a real number than a=a reflexive property for all real numbers a,b, and c (ab)c=a(bc) associative property of multiplication for all real numbers a and b -(a+b)=(-a)+(-b) property of the opposite of a sum for every nonzero real number a, there is a unique real number 1/a such that a*1/a=1 and 1/a * a=1 property of reciprocals there is a unique real number 0 such that for every real number a, a+0=a and 0+a=a identity property of addition for all real numbers a,b, and c a(b+c)=ab+ac and (b+c)a=ba+ca distributive property