Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.1 - Real Numbers - 1.1 Exercises: 76

Answer

(a) Distance: $ \frac{18}{35}$ (b) Distance: $19$ (c) Distance: $0.8$

Work Step by Step

(a) The distance between the numbers $\frac{7}{15}$ and $-\frac{1}{21}$ is $d(a,b) = |\frac{7}{15} - (-\frac{1}{21})| =|\frac{7}{15} + \frac{1}{21}|=|\frac{49}{105} + \frac{5}{105}| = |\frac{54}{105}| =\frac{54}{105} = \frac{18}{35}$ (b) The distance between the numbers $-38$ and $-57$ is $d(a,b) = |-38 - (-57)| = | -38 + 57 | = |19| = 19$ (c) The distance between the numbers $-2.6$ and $-1.8$ is $d(a,b) = |-2.6 - (-1.8)| = |-2.6+1.8 | = |-0.8| = 0.8$
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