Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - 1-2 Properties of Real Numbers - Practice and Problem-Solving Exercises - Page 16: 57


8, 1. $\frac{1}{3}$, -$\sqrt 2$, -3

Work Step by Step

To begin ordering numbers in a decreasing manner, start by finding the largest number. 8 is the largest, positive number. Therefore, the sequence should start with 8. Next, look for the second largest number. The second largest, positive number is 1. $\frac{1}{3}$ is slightly less than 1, so it should be placed after 1 in the sequence. Next, order the negative numbers since all of the positive numbers have been ordered. -$\sqrt 2$ is slightly greater than -3, so it should be placed next in the sequence. Lastly, -3 is the smallest number in the given group of numbers, therefore it should be placed last in the sequence.
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