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: 27

Answer

$-38$

Work Step by Step

We start with the given expression: $17+(-18)-19-14+13-17$ We use the commutative property of addition to rearrange some of the terms in order to make it easier to add: $17-17+(-18)-19+13-14$ We apply the associative property to group terms that are easy to add/subtract: $(17-17)+((-18)-19)+(13-14)$ We add/subtract inside each of the parentheses: $0+(-37)+(-1)$ We add/subtract from left to right: $(-37)+(-1)=-38$
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