College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 1 - Section 1.3 - The Use of Mathematics - Checkpoint - Page 5: 1.3

Answer

(a) There are five significant figures in this measurement. We can write this measurement in scientific notation: $1.0544\times 10^{-4}~kg$ (b) There are four significant figures in this measurement. We can write this measurement in scientific notation: $5.800\times 10^{-3}~cm$ (c) There could be three, four, five, or six significant figures in this measurement. We can write this measurement in scientific notation: $6.02\times 10^{5}~s$

Work Step by Step

(a) $0.000~105~44~kg$ There are five significant figures in this measurement. We can write this measurement in scientific notation: $1.0544\times 10^{-4}~kg$ (b) $0.005~800~cm$ There are four significant figures in this measurement. We can write this measurement in scientific notation: $5.800\times 10^{-3}~cm$ (c) $602~000~s$ When zeros are written to the left of the decimal point, it is not clear whether they are significant figures or not. There could be three, four, five, or six significant figures in this measurement. Let's assume there are three significant figures. We can write this measurement in scientific notation: $6.02\times 10^{5}~s$
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