How do you represent, describe, and compare additive and multiplicative relationships?

Additive relationships
(a+b)+c=a+(b+c) associative property of addition
a+b=b+a

multiplacive relations
a(b+c)=ab+ac  distributive property of multiplication
a times 1=a identity property of 1
a times 0=0
(a*b)*c=a*(b*c)