Question

Which one is a "Associative Property Of Multiplication"

A. z + 0 = z
B. 5(2r - 3) = 10r - 15
C. 4(5 + y) = (5 + y)4
D. 3(4r) = (3 *4)r
E. 3 + b = b + 3
F. 1(w) = w

Answer 1

The answer is D.

Explanation:

First, we take the info we know. We know that this of multiplication. That means we can rule out A and E.

Now, we need to take the definition of the associative property. The associative property means that you keep the same numbers, variables, and operations, but you switch the grouping. This means that the answer is D. This is because, on both sides of the equation, we keep the same numbers variables and operations. However, on one side we have 4 grouped with r, and on the other, we have 3 grouped with 4. We switched our grouping but kept the expression. This means that our answer is D.