The name of a property is given followed by part of an equation. Complete the equation to the right of the equal sign to
illustrate the given property.
-(-6 · a) ·4 = associative property of multiplication
A) (-6 · a) + (-6 ·4)
B) -6 · (a ·4 )
C) 4 · (-6 · a)
D) (-a ·6) ·4

Question

Quizplus · Accepted Answer

The associative property of multiplication states that the grouping of factors in a multiplication equation does not change the result. The equation given shows that (-6 · a) is being grouped with 4. Therefore, to complete the equation using the associative property of multiplication, we need to group 6 and 4, which is represented as (a · 4), giving us: -6 · (a · 4) = (-6 · a) · 4. The associative property of multiplication states that changing the grouping of factors in a multiplication expression does not change the product. Therefore, (-6 · a) ·4 can be grouped differently as -6 · (a ·4) while still resulting in the same product (-24a). Option B shows the correct application of the associative property of multiplication.

The Name of a Property Is Given Followed by Part