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P.1-P.3 Algebra
Expression | Property |
---|---|
A+B and AB | Closure |
a+b=b+a and ba=ab | Commutative |
a+(b+c)= (a+b)=c and a(bc)=(ab)c | Associative |
a(b+c)= ab+ac | Distributive |
0+a=a and 1a=a | Identity |
0a=0 | Multiplication property of zero |
-a+a=0 | Additive inverse |
1/a=1 | Multiplicative inverse |
a=a | Reflexive |
a=b, b=a | Symmetric |
a=b, b=c, a=c | Transitive |
a=b, b or a can substitute for each other in an expression involving the two. | Substitution |