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 - 1.3 - Integers: Addition and Subtraction - Problem Set 1.3 - Page 19: 11



Work Step by Step

We can find the sum of a positive and a negative integer by subtracting the number with the smaller absolute value from the number with the larger absolute value and giving the result the sign of the original number that has the larger absolute value. Since $|17|>|-9|$, we subtract $17-9$ to get $8$. Since the original $17$ was positive, we keep the positive sign, giving us an answer of $8$
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