## Elementary Algebra

Published by Cengage Learning

# Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - Chapter 1 Review Problem Set - Page 37: 3

#### Answer

$-5$

#### Work Step by Step

RECALL: $a-b = a+ (-b)$ Thus, $8-13 \\= 8+(-13)$ The numbers being added have different signs. To find the sum, perform the following steps: (1) Subtract the bigger absolute value by the smaller absolute value to obtain: $|-13| - |8| = 13 - 8 = 5$ (2) The sum will have the same sign as the number with the bigger absolute value. Since $|-13| \gt |9|$, then the sum is negative. Thus, $8-13 = 8+(-13)=-5$

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