Number Properties
Number Properties from Math Seminar
Terms
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- Inverse Opposites
- a+(-a)=0
- Addition
- If a=b, then a+c=b+c and c+a=c+b
- Associative
- (a+b)+c=a+(b+c) ____ (ab)c=a(bc)
- Transitive
- If a=b and b=c, then a=c
- Inverse Reciprocals
- a*(1/a)=1 (except for a=0)
- Commutative
- a+b=b+a ____ ab=ba
- Reflexive
- a=a
- Symmetric
- If a=b, then b=a
- Distributive
- a(b+c)=ab+ac ____ (b+c)a=ba+ca
- Properties of Equality
- all real numbers
- Multiplication
- If a=b, then ac=bc and ca=cb
- Identity
- a+0=a ____ a*1=a