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: 77

Answer

Scientific notation is used to express very large or very small numbers conveniently. It allows for easy comparison between numbers that would otherwise require counting zeroes. For instance, the numbers 1000000 and 10000000 would require you to count the zeroes in order to determine which number is larger, and this could be more tedious and prone to mistakes. However, when written in scientific notation: $1000000 = 1\times10^{6}$ $10000000= 1\times10^{7}$ Since $n$ is larger in the second expression, therefore it is the larger number between the two.

Work Step by Step

Scientific notation is used to express very large or very small numbers conveniently. It allows for easy comparison between numbers that would otherwise require counting zeroes. For instance, the numbers 1000000 and 10000000 would require you to count the zeroes in order to determine which number is larger, and this could be more tedious and prone to mistakes. However, when written in scientific notation: $1000000 = 1\times10^{6}$ $10000000= 1\times10^{7}$ Since $n$ is larger in the second expression, therefore it is the larger number between the two.
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