Question

Which equation applies the associative property of multiplication?

1) (-12 ⋅ 47) = (-12 ⋅ 23)
2) (-12 ⋅ 23) = -12 ⋅ (47 23)
3) (-1/2 * 4/7) + (-1/2 * 2/3) = -1/2 * (4/7 + 2/3)
4) 89 ⋅ 74 ⋅ (-58) = 89 ⋅ (-58) ⋅ 74
5) (8/9 * 7/4 * (-5/8)) = 8/9 * (-5/8) * 7/4
6) (-94 ⋅ 32) ⋅ (63 ⋅ 57) = -94 ⋅ (32 ⋅ 63) ⋅ 57
7) (-9/4 * 3/2) * (6/3 * 5/7) = -9/4 * (3/2 * 6/3) * 5/7
8) -65-(53-14) = (-65-53)-14

Answer 1

Option 6) (-94 ⋅ 32) ⋅ (63 ⋅ 57) = -94 ⋅ (32 ⋅ 63) ⋅ 57 applies the associative property of multiplication.

Step-by-step explanation:

The equation that applies the associative property of multiplication is option 6) (-94 ⋅ 32) ⋅ (63 ⋅ 57) = -94 ⋅ (32 ⋅ 63) ⋅ 57.

The associative property of multiplication states that when three or more numbers are multiplied, the grouping of the numbers does not affect the result. In other words, changing the grouping of the numbers being multiplied does not change the product.

In the given equation, the grouping of the numbers changes, but the product remains the same, demonstrating the associative property of multiplication.