College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Concept and Vocabulary Check - Page 32: 10



Work Step by Step

According to the definition of Scientific Notation given in the textbook, a number is written in scientific notation when it is expressed in the form $a \times 10^n$. $a$ can take any value between $-10$ and $10$, excluding $0$, while $n$ should be an integer and can take any integer value. In the given case, $a=40$ and $n=2$. While the value of $n$ fulfills the conditions, the absolute value of $a$ is greater than $10$ and does not fulfill the conditions. The proper Scientific Notation for $40\times10^2$ would be $(4\times10)\times10^2=4\times10^{1+2}=4\times10^3$.
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