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 - Chapter 1 Review Problem Set - Page 37: 5



Work Step by Step

RECALL: $a-b = a+ (-b)$ Thus, $-12-(-11) \\= -12+11 $ The numbers being added have different signs. To add the numbers, perform the following steps: (1) Subtract the bigger absolute value by the smaller absolute value to obtain: $|-12| - |11| =12-11 =1$ (2) The sum of the two numbers will be the same as the sign of the number with the bigger absolute value. Note that $|-12| \gt |11|$. Thus, $-12+11 = -1$
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