Question

identify the property (a · b) · c = (c · b) · a
inverse of multiplication
associative of multiplication
identity of multiplication
commutative of multiplication

Explanation:

Step1: Recall multiplication properties

The associative property of multiplication states that $(a\times b)\times c=a\times(b\times c)$. The identity property of multiplication is $a\times1 = a$. The inverse of multiplication for a non - zero number $a$ is $\frac{1}{a}$ since $a\times\frac{1}{a}=1$. The commutative property of multiplication states that $a\times b=b\times a$. In the given equation $(a\cdot b)\cdot c=(c\cdot b)\cdot a$, the order of the factors has been changed which is characteristic of the commutative property.

Answer:

commutative of multiplication