Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Skills Handbook - Absolute Value - Exercises - Page 892: 5



Work Step by Step

Absolute value is used to represent the distance of a number from $0$ on a number line. Since distances are always positive, the result of an absolute value will always be positive. Therefore, to take the absolute value of a negative number, we simply take the negative of that number to make it positive, and to take the absolute value of a positive number, we do nothing to the number. Let us simplify each of the absolute values, and then subtract: $$|-5|-|10|=5-10=-5$$
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