Question

Which equation applies the associative property of multiplication?

1) (-411-23)-34=-411-(23-34)
2) -125 ⋅ (712 ⋅ 19) ⋅ 85=(-125 ⋅ 712) ⋅ (19 ⋅ 85)
3) 12 ⋅ (58 36)=(12 ⋅ 58) (12 ⋅ 36)
4) 49 ⋅ (-38) ⋅ 94=49 ⋅ 94 ⋅ (-38)

Answer 1

The equation that applies the associative property of multiplication is the second one, where the multiplication grouping is changed by moving the parentheses without altering the outcome.

Step-by-step explanation:

The associative property of multiplication states that the way in which factors are grouped in a multiplication problem does not change the product. This property allows us to move parentheses within an expression without altering the outcome of the multiplication.

The equation that correctly applies the associative property of multiplication is: 2) -125 ⋅ (712 ⋅ 19) ⋅ 85=(-125 ⋅ 712) ⋅ (19 ⋅ 85). Here, the multiplication grouping is changed by moving the parentheses, but the outcome of the entire expression remains the same, demonstrating the associative property.