Question

c(a*b) = (c*b)a
Is this commutative, associative, or both? It feels like it is commutative since numbers change their order. However, it feels like it is associative, because different numbers are grouped together in the parenthesis. Is it possible to show two properties at once?

Answer 1

c*(a*b) = (c*a)*b is associative
c*(a*b) = c*(b*a) is commutative
c*(a*b) = c*(b*a) = (c*b)*a is both

Answer 2

communative.