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.
-(-5 + m) + 8 = associative property of addition
A) -5 + (m + 8)
B) -5 + (8 + m)
C) 8 + (-5 + m)
D) (m + (-5)) + 8

Question

Quizplus · Accepted Answer

The associative property of addition states that changing the grouping of the addends does not change the sum. So we can group (m + 8) together first and then add -5, which gives us -5 + (m + 8). The associative property of addition states that the grouping of addends can be changed without changing the sum. To apply this property to (-5 + m) + 8, we can re-group the addends as (-5 + 8) + m or -5 + (8 + m). Among these choices, only A matches.

The Name of a Property Is Given Followed by Part