Algebra 1

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

Chapter 1 - Foundations for Algebra - 1-5 Adding and Subtracting Real Numbers - Mixed Review: 77

Answer

Yes, the expressions are equivalent.

Work Step by Step

We start with the first expression: $(6+b)+a$ The associative property of addition states that changing the grouping of the addends does not affect the sum. We use this property to change the grouping of the addends: $6+(b+a)$ The commutative property of addition states that changing the order of the addends does not affect the sum. We use this property to change the order of the addends: $6+(a+b)$ Since this expression is the same as the second expression, the expressions are equivalent.
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