Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.1 - Review of Real Numbers and Their Properties - Exercises - Page 12: 45

Answer

5/2

Work Step by Step

To find the absolute value of a given expression we need to define what is the absolute value function. The absolute value of a number is its distance from the origin. |x| = 0 if x = 0; |x| = -x if x < 0; |x| = x if x > 0; a = -5/2, b = 0 |a-b| = |-5/2 - 0| = |-5/2| = -(-5/2) as -5/2 < 0 Hence |a-b| = 5/2
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