Question

Which of the following is true because of the Associative Law of Multiplication?

2(3⋅4)5=6⋅20

2(3⋅4)5=120

2(3⋅4)5=5⋅4(3⋅2)

2(3⋅4)5=2⋅3(4⋅5)

Answer 1

The Associative Law of Multiplication allows you to change the grouping of factors without changing the result of multiplication.

Step-by-step explanation:

The Associative Law of Multiplication states that the grouping of factors does not change the result of multiplication.

In other words, when you have a sequence of multiplications connected by parentheses, you can change the grouping of the factors without changing the final product.

In this case, the correct equation that follows the Associative Law of Multiplication is 2(3⋅4)5 = 2⋅3(4⋅5) = 120.

This is because grouping the factors differently does not affect the result.

Answer 2

2(3⋅4)5=6⋅20 = True

2(3⋅4)5=120 = True

2(3⋅4)5=5⋅4(3⋅2) True

2(3⋅4)5=2⋅3(4⋅5) = True

They are all True