Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-2 Scientific Notation - Lesson Check: 4

Answer

$0.000127$

Work Step by Step

To convert a number in scientific notation to a number in standard notation, we must move the decimal point to the left or right by the exponent of $10$ in the scientific notation. If the exponent is positive, we move the decimal right. If the exponent is negative, we move the decimal left. We are trying to convert $1.27\times10^{-4}$ to standard notation. Since the exponent of $10$ is $-4$, we move the decimal point $4$ places to the left, giving us $0.000127$.
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