## Chemistry: The Central Science (13th Edition)

Published by Prentice Hall

# Chapter 1 - Introduction: Matter and Measurement - Exercises: 1.41d

#### Answer

$8.69\times10^{-2}$

#### Work Step by Step

$0.0588\div0.677=0.086853$ For division, the factor with the least number of significant figures determines the significant figures in the result. In this case that number is 3 so round the result to 3 significant digits. $0.086853\approx0.0869$ Rewrite 0.0869 in scientific notation. To express 0.0869 as a number between 1 and 10 the decimal is moved 2 places to the right so the exponent is -2. $8230=8.23\times10^{3}$

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