Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Practice and Problem-Solving Exercises - Page 20: 46


$\frac{-60}{11}$,-3,$\sqrt {11}$, 5.5, $\sqrt {31}$

Work Step by Step

Convert all the numbers to decimals to easily compare them. Convert negative numbers first: $\frac{-60}{11}$$\approx$5.45, -5.45 is less than -3 therefore -5 is the least, then -3. Negative numbers are obviously less than positive numbers. $\sqrt 11$ $\approx$3.31, then 5.5 then $\sqrt 31$ $\approx$5.57. We can do this by comparing one, tenth, hundredth place of the decimals. Therefore, the correct order is $\frac{-60}{11}$,-3,$\sqrt {11}$, 5.5, $\sqrt {31}$.
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