Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.7 - Scientific Notation - Exercise Set - Page 91: 84

Answer

The statement does not make sense. $$58 million =5.8\times10^{7}$$ $$58millionth = 5.8\times10^{-5}$$

Work Step by Step

Recall that 1 million = $1\times10^{6}$ and one millionth =$1\times10^{-6}$. Thus, $$58 million = 58(1\times10^{6})$$ $$=58\times10^{6}$$ Since the numerical factor has to be a number between 1 and 10, then this could be further expressed as: $$=5.8\times10^{7}$$ While $$58millionth = 58(1\times10^{-6})$$ $$58\times10^{-6}$$ Since the numerical factor has to be a number between 1 and 10, then this could be further expressed as: $$=5.8\times10^{-5}$$ The statement does not make sense since the absolute value exponents in 10 are not equal.
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