Question

Identify the property that justifies each step asked about in the answer area below.

\text{Line 1: }\phantom{=}
Line 1: =
\,\,b(ac)
b(ac)
\text{Line 2: }\phantom{=}
Line 2: =
\,\,(ba)c
(ba)c
\text{Line 3: }\phantom{=}
Line 3: =
\,\,(ab)c
(ab)c

Answer 1

associative property

commutative property

Explanation:

Line 1 to line 2:

change of grouping is associative property of multiplication

Line 2 to line 3:

change of order is commutative property of multiplication