Chemistry: The Central Science (13th Edition)

Published by Prentice Hall
ISBN 10: 0321910419
ISBN 13: 978-0-32191-041-7

Chapter 1 - Introduction: Matter and Measurement - Exercises - Page 36: 1.42b


$8.261\times10^{7}$ (4 sig-figs)

Work Step by Step

$[(285.3\times10^{5})-(1.200\times10^{3})]\times2.8954$ Start with operation in brackets: $[(285.3\times10^{5})-(1.200\times10^{3})]\times2.8954$ =$[285.3\times10^{5}]\times2.8954$ Since we subtracted, we are allowed to keep as many sigfigs as there were on the lowest figure after the decimal point. 285.3= 1sigfig. Multiply, use the number with least TOTAL digits for sig figs: $[285.3\times10^{5}]\times2.8954$ =$8.261\times10^{7}$ 285.3 has 4 digits, therefore our answer must have 4.
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