## Math Properties

##### Created by:

lollivovo  on September 14, 2011

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# Math Properties

 reflexive (property of equality)a=a
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#### Definitions

reflexive (property of equality) a=a
symmetric (property of equality) if a=b → b=a
transitive(property of equality) if a=b and b=c, → a=c
addition(property of equality) if a=b → a+c = b+c and c+a = c+b
multiplication(property of equality) if a=b →ac=bc and ca=cb
closure a+b and ab are unique real numbers
commutative (properties) a+b = b+a ; ab=ba
associative (properties) (a+b)+c = a+(b+c) ; (ab)c = a(bc)
identity (properties) (unique real numbers 0 and 1) a+o=a and 0+a=a; a x 1= a and 1 x a= a
property of opposites (inverse) a+(-a) =0 and (-a)+a=0
property of reciprocals (inverse) (all except 0) a x 1/a = 1 and 1/a x a =1
distributive property a(b+c)= ab+ac and (b+c)a = ba+ca

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