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: 1.42a

Answer

$-2.3\times10^{3}$

Work Step by Step

$320.5-6104.5\div2.3=320.5-2654.1=-2333.6$ For division, the factor with the least number of significant figures determines the significant figures in the result. In this case that number is 2. Since the intermediate result has 2 significant figures the final answer should be written with 2 significant figures. $-2333.6\approx-2300$ Rewrite -2300 in scientific notation. To express -2300 as a number between 1 and 10 the decimal is moved 3 places to the left so the exponent is 3. $-2300=-2.3\times10^{3}$
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