Math Properties
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12 terms
Terms | 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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