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: 37



Work Step by Step

We start with the given expression: $-6-(-12)$ First, we will convert this to an addition problem, using the rule $a-(-b)=a+b$: $-6+12$ 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 $|12|>|-6|$, we can subtract $6$ from $12$, giving us $6$. Since the larger absolute value was originally positive, we give our result the positive sign: $6$
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