click below
click below
Normal Size Small Size show me how
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 |