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: 9

Answer

The student did not move the decimal back the correct number of places. Instead of writing $1.88\times10^{-5}=0.00188$, the student should have written $1.88\times10^{-5}=0.0000188$.

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. The student was trying to convert $1.88\times10^{-5}$ to standard notation. Since the exponent of $10$ is $-5$, we move the decimal point $5$ places to the left, giving us $0.0000188$, not $0.00188$.
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