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Problem 27

Why do we usually need to round off calculations that use measured numbers?

Problem 29

Round off each of the following measurements to three significant figures: a. \(1.854 \mathrm{~kg}\) b. \(88.2038 \mathrm{~L}\) c. \(0.004738265 \mathrm{~cm}\) d. \(8807 \mathrm{~m}\) e. \(1.832 \times 10^{5} \mathrm{~s}\)

Problem 31

Round off or add zeros to each of the following to give an answer with three significant figures: a. \(5080 \mathrm{~L}\) b. \(37400 \mathrm{~g}\) c. \(104720 \mathrm{~m}\) d. \(0.00025082 \mathrm{~s}\)

Problem 32

Round off or add zeros to each of the following to give an answer with two significant figures: a. \(5100000 \mathrm{~L}\) b. \(26711 \mathrm{~s}\) c. \(0.003378 \mathrm{~m}\) d. \(56.982 \mathrm{~g}\)

Problem 33

For each of the following problems, give an answer with the correct number of significant figures: a. \(45.7 \times 0.034\) b. \(0.00278 \times 5\) c. \(\frac{34.56}{1.25}\) d. \(\frac{(0.2465)(25)}{1.78}\)

Problem 35

For each of the following, give an answer with the correct number of decimal places: a. \(45.48 \mathrm{~cm}+8.057 \mathrm{~cm}\) b. \(23.45 \mathrm{~g}+104.1 \mathrm{~g}+0.025 \mathrm{~g}\) c. \(145.675 \mathrm{~mL}-24.2 \mathrm{~mL}\) d. \(1.08 \mathrm{~L}-0.585 \mathrm{~L}\)

Problem 36

For each of the following, give an answer with the correct number of decimal places: a. \(5.08 \mathrm{~g}+25.1 \mathrm{~g}\) b. \(85.66 \mathrm{~cm}+104.10 \mathrm{~cm}+0.025 \mathrm{~cm}\) c. \(24.568 \mathrm{~mL}-14.25 \mathrm{~mL}\) d. \(0.2654 \mathrm{~L}-0.2585 \mathrm{~L}\)

Problem 37

The speedometer is marked in both \(\mathrm{km} / \mathrm{h}\) and \(\mathrm{mi} / \mathrm{h}\), or mph. What is the meaning of each abbreviation?

Problem 38

In a French car, the odometer reads 2250 . What units would this be? What units would it be if this were an odometer in a car made for the United States?

Problem 39

How does the prefix kilo affect the gram unit in kilogram?

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