Question

which property is used in the following expression? $(4 × 9) × 6 = 9 × (6 × 4)$ \bigcirc commutative property of addition \bigcirc associative property of addition \bigcirc associative property of multiplication \bigcirc distributive property of multiplication \
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Explanation:

First, eliminate addition properties since the expression uses multiplication. The commutative property allows reordering factors, and the associative property allows regrouping factors. The expression rearranges (4,9,6) and regroups parentheses, but the core property shown that enables both reordering and the valid regrouping to maintain equality here is the associative property of multiplication, which states that $(a \times b) \times c = a \times (b \times c)$, and combined with commutative reordering, the given equation holds via the associative rule for multiplication. The distributive property involves multiplication over addition, which is not present here.

Answer:

C. Associative Property of Multiplication