General Chemistry: Principles and Modern Applications (10th Edition)

Published by Pearson Prentice Hal
ISBN 10: 0132064529
ISBN 13: 978-0-13206-452-1

Chapter 1 - Matter: Its Properties and Measurement - Exercises - Significant Figures: 19

Answer

a) 3985 b) 442.0 c) $1.860\times10^{5}$ d) $3.390\times10^{4}$ e) $6.321\times10^{4}$ f) $5.047\times10^{-4}$

Work Step by Step

a) 3984.6 All the digits are significant since they are not zero. So to express this number in four significant figures, one has to round it to 4 digits, which is 3985. b) 442.04 All the digits are significant, since they are nonzero digits or zeros between nonzero numbers. So to round it to 4 significant figures, one has to round it to 4 digits, which is 442.0 c) 186,000 All the digits are significant, since they are nonzero digits or zeros at the end of a number. So to round it to 4 significant figures, one has to round it to 4 digits. This is only possible with the exponential notation, which is $1.860\times10^{5}$. d) 33,900 All the digits are significant, since they are nonzero digits or zeros at the end of a number. So to round it to 4 significant figures, one has to round it to 4 digits. This is only possible with the exponential notation, which is $3.390\times10^{4}$. e) $6.321\times10^{4}$ All the digits are significant, since they are nonzero digits. To round it to 4 significant figures, one has to round it to 4 digits. This is already the case, so the answer is $6.321\times10^{4}$. f) $5.0472\times10^{-4}$ All the digits are significant, since they are nonzero digits or zeros between nonzero numbers. So to round it to 4 significant figures, one has to round it to 4 digits, which is $5.047\times10^{-4}$
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