Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 1, Equations and Inequalities - Before - Page XXIV: 5



Work Step by Step

Recall: The sum of two numbers with oppposite signs is equal to the difference between their absolute values. (the sign of the number with the bigger absolute value must be followed). Since $|3|=3$ and $|-4|=4$, and $4>3$, then \begin{align*} 3+(-4)&=-\left(|4|-|3|\right)\\ &=-(4-3)\\ &=-(1)\\ &=-1 \end{align*}
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