Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 5 - Logarithmic Functions - 5.4 Logarithmic Scales - Exercises and Problems for Section 5.4 - Skill Refresher - Page 222: S8


It lies between the -3 and -4 powers of 10.

Work Step by Step

Recall, for a number to be in scientific notation, it must be in the form $a\times 10^b$, where a must be between 1 and 10. Thus, we simplify the expression. If necessary, we change b until the value of a is between 1 and 10. Doing this, we find that the expression becomes: $$8.81\times10^{-4}$$ It lies between the -3 and -4 powers of 10.
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