Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter R - Section R.2 - Operations on Real Numbers - R.2 Exercises - Page 20: 53

Answer

$\frac{13}{2}$

Work Step by Step

In order to find the distance between two points, we can find the absolute value of the difference of the numbers (taken in either order). $D=-6$ $F=\frac{1}{2}$ $|(-6-\frac{1}{2})|=|-(6+\frac{1}{2})|=|-(\frac{12}{2}+\frac{1}{2})|=|-(\frac{12+1}{2})|=|-\frac{12+1}{2}|=\frac{13}{2}$ The absolute value of a number $a$ is equal to $a$ if $a\geq0$ and is equal to $-a$ if $a\lt0$. $-11\lt0$, so $|-11|=-(-11)=11$ Therefore, the distance between the two points is 11.
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