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: 38



Work Step by Step

Recall the following rule: $a-(-b)=a+b$. Thus, we obtain: $-7+15$ We can find the sum of a positive and a negative integer by subtracting the smaller absolute value from the larger absolute value and giving the result the sign of the original number that has the larger absolute value. Since $|15|>|-7|$, we can subtract $7$ from $15$, giving us $8$. Since the larger absolute value was originally positive, we give our result the positive sign: $8$
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