Question

which of the following number sentences illustrates the associative property of multiplication (3×8)×6=3×(8×6). 2×(1×9)=(2×1)×(2×9). 1×15=15. 8×9=9×8.

Answer 1

Answer:

(A)(3×8)×6=3×(8×6)

Explanation:

Definition: A set S is said to be associative under the operation x if the following holds:

$\begin{gathered} \forall a,b,c\in S \\ a\times(b\times c)=(a\times b)\times c \end{gathered}$

Therefore, the number sentence that illustrates the associative property of multiplication is:

$\mleft(3\times8\mright)\times6=3\times\mleft(8\times6\mright).$

The correct choice is A.