Question

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

A. 4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
B. 4(2a ⋅ 5) = 8a ⋅ 20
C. 4(2a ⋅ 5) = (2a ⋅ 5) ⋅ 4
D.4(2a ⋅ 5) = 4 ⋅ 2a ⋅ 5

Answer 1

The answer is A

Explanation:

i took this exam

Answer 2

Option A -
`4(2a\cdot5) = (4\cdot2a) \cdot5`

Explanation:

Given : Pair of expressions.

A.
`4(2a\cdot5) = (4\cdot2a) \cdot5`

B.
`4(2a\cdot5) = 8a\cdot20`

C.
`4(2a\cdot5) = (2a\cdot 5) \cdot4`

D.
`4(2a\cdot5) = 4\cdot 2a\cdot5`

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

Solution :

Associative Property of Multiplication states that multiplication of group of numbers in any combination.

`a\cdot(b\cdot c)=(a\cdot b)\cdot c`

On comparison with property,

`4(2a\cdot5) = (4\cdot2a) \cdot5` satisfy the condition.

Where, a=4, b=2a and c=5.

Therefore, Option A is correct.