## College Physics (4th Edition)

Published by McGraw-Hill Education

# Chapter 1 - Problems - Page 20: 25

#### Answer

(a) $0.00574~kg$ There are three significant figures in this measurement. We can write this measurement in scientific notation: $5.74\times 10^{-3}~kg$ (b) $2~m$ There is one significant figure in this measurement. We can write this measurement in scientific notation: $2~m$ (c) $0.450\times 10^{-2}~m$ There are three significant figures in this measurement. We can write this measurement in scientific notation: $4.50\times 10^{-3}~m$ (d) $45.0~kg$ There are three significant figures in this measurement. We can write this measurement in scientific notation: $4.50\times 10~kg$ (e) $10.09\times 10^4~s$ There are four significant figures in this measurement. We can write this measurement in scientific notation: $1.009\times 10^5~s$ (f) $0.09500\times 10^5~mL$ There are four significant figures in this measurement. We can write this measurement in scientific notation: $9.500\times 10^3~mL$

#### Work Step by Step

We can find the number of significant figures in each measurement and write each measurement in scientific notation. (a) $0.00574~kg$ There are three significant figures in this measurement. We can write this measurement in scientific notation: $5.74\times 10^{-3}~kg$ (b) $2~m$ There is one significant figure in this measurement. We can write this measurement in scientific notation: $2~m$ (c) $0.450\times 10^{-2}~m$ There are three significant figures in this measurement. We can write this measurement in scientific notation: $4.50\times 10^{-3}~m$ (d) $45.0~kg$ There are three significant figures in this measurement. We can write this measurement in scientific notation: $4.50\times 10~kg$ (e) $10.09\times 10^4~s$ There are four significant figures in this measurement. We can write this measurement in scientific notation: $1.009\times 10^5~s$ (f) $0.09500\times 10^5~mL$ There are four significant figures in this measurement. We can write this measurement in scientific notation: $9.500\times 10^3~mL$

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