Answer
$10^{10}$ is closer to $10^{50}$
Work Step by Step
$|10^{50}-10^{10}|<10^{50}$
However, $|10^{101}-10^{100}|=10^{100}|10-1|=9*10^{100}>10^{50}$
Therefore, $10^{10}$ is closer to $10^{50}$.
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter P, Prerequisites - Section P.3 - Integer Exponents and Scientific Notation - P.3 Exercises - Page 24: 47
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