Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 1 - Foundations for Algebra - 1-4 Properties of Real Numbers - Practice and Problem-Solving Exercises - Page 27: 43


Yes, the expressions are equivalent.

Work Step by Step

We start by simplifying the first expression, $(3+7)+m$, using the order of operations: We simplify inside the parentheses: $10+m$ The second expression is $m+10$ The commutative property of addition states that changing the order of the addends does not affect the sum. Therefore, $10+m=m+10$, and the expressions are equivalent.
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