Use commutative, associative, and distributive structure to rewrite and simplify numerical expressions efficiently.
Use commutative structure to reorder
Problem
Rewrite \(25~+~7~+~75\) in an order that makes it easier to add. Then find the value.
Big Picture
What this problem is really about
The goal is to make the addition friendlier without changing any addend. We’ll use the commutative property to move the two numbers that combine to a round hundred next to each other, add that pair, and then include the remaining addend. Reordering is valid because the operation throughout is addition.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
