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properties(:
| Question | Answer |
|---|---|
| a = a | Reflexive |
| If a = b the b = a | Symmetric |
| If a = b & b = c the a = c | Transitive |
| a = b , then b can be replaced by a | Substitution |
| a+0 = a | Identity (+) |
| a(1) = a | Identity (*) |
| a+(-a)=0 | Inverse (+) |
| a(1/a) = 1 | Inverse (*) |
| a(0) = 0 | Multiplication of Zero |
| a(b+c) = ab + ac | Distributive |
| (a+b)+c = a+(b+c) (ab)c = a(bc) | Associative |
| a+b = b+a ab = ba | Commutative |
| A set is closed under and operation if the result is also a member of the set | Closure |