Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.5 - Use of Properties - Problem Set 1.5: 29



Work Step by Step

We start with the given expression: $-21+22-23+27+21-19$ We use the commutative property of addition to rearrange some of the terms in order to make it easier to add/subtract: $21-21+22-19+27-23$ We apply the associative property to group terms that are easy to add: $(21-21)+(22-19)+(27-23)$ We add/subtract inside each of the parentheses: $0+3+4$ We add from left to right: $3+4=7$
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