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

(A)(3×8)×6=3×(8×6)

Step-by-step 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*(b* c)=(a* b)* c \end{gathered}`

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

`\mleft(3*8\mright)*6=3*\mleft(8*6\mright).`

The correct choice is A.