Commutative:    a+b = b+a; ab =ba

Associative:    a+ (b+c) = (a+b)+c; a(bc) = (ab)c

Additive Identity:    a+0 = 0+a = a

Additive Inverse:    -a+a=a+(-a)=0

Multiplicative Identity:    a*1 = 1 *a = a

Multiplicative Inverse:    a * (1/a) = 1 when a is not equal to 0

Distributive:    a(b+c) = ab + ac