Question

Which pair of expressions is equivalent using the Associative Property of Multiplication?

A6(4a ⋅ 2) = 24a ⋅ 12
B 6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6
C6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2
D6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2

Answer 1

Explanation:

In the associative property of multiplication, the product of the multiplication of 3 or more numbers is the same irrespective of how they are grouped. This means that irrespective of the bracket or which number comes first, the product will always be the same.

From the given scenarios, the pair of expressions that are equivalent using the Associative Property of Multiplication are

B 6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6

C 6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2

D6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2

The results are the same irrespective of the arrangement of the numbers.