Answer:
Option A - \(4(2a\cdot5) = (4\cdot2a) \cdot5\)
Step-by-step 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.
