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### 12 Cards in this Set

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 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(b-c)= ab-ac 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)