Problem 139
Indicate the number of significant figures in each of the following: a. This book contains over 500 pages. b. A mile is just over \(5000 \mathrm{ft}\). c. A liter is equivalent to \(1.059 \mathrm{qt}\) d. The population of the United States is approaching 250 million. e. A kilogram is \(1000 \mathrm{g}\). f. The Boeing 747 cruises at around \(600 \mathrm{mi} / \mathrm{h}\).
Problem 140
Round off each of the following numbers to three significant digits. a. 0.00042557 b. \(4.0235 \times 10^{-5}\) c. 5,991,556 d. 399.85 e. 0.0059998
Problem 141
Round off each of the following numbers to the indicated number of significant digits. a. 0.75555 to four digits b. 292.5 to three digits c. 17.005 to four digits d. 432.965 to five digits
Problem 142
Evaluate each of the following, and write the answer to the appropriate number of significant figures. a. \(149.2+0.034+2000.34\) b. \(1.0322 \times 10^{3}+4.34 \times 10^{3}\) c. \(4.03 \times 10^{-2}-2.044 \times 10^{-3}\) d. \(2.094 \times 10^{5}-1.073 \times 10^{6}\)
Problem 143
Evaluate each of the following, and write the answer to the appropriate number of significant figures. a. (0.0432)(2.909)\(\left(4.43 \times 10^{8}\right)\) b. \((0.8922) /\left[(0.00932)\left(4.03 \times 10^{2}\right)\right]\) c. \(\left(3.923 \times 10^{2}\right)(2.94)\left(4.093 \times 10^{-3}\right)\) d. \((4.9211)(0.04434) /\left[(0.000934)\left(2.892 \times 10^{-7}\right)\right]\)
Problem 144
Evaluate each of the following, and write the answer to the appropriate number of significant figures. a. \(\left(2.9932 \times 10^{4}\right)\left[2.4443 \times 10^{2}+1.0032 \times 10^{1}\right]\) b. \(\left[2.34 \times 10^{2}+2.443 \times 10^{-1}\right] /(0.0323)\) c. \(\left(4.38 \times 10^{-3}\right)^{2}\) d. \(\left(5.9938 \times 10^{-6}\right)^{1 / 2}\)
Problem 145
Given that \(1 \mathrm{L}=1000 \mathrm{cm}^{3},\) determine what conversion factor is appropriate to convert \(350 \mathrm{cm}^{3}\) to liters; to convert 0.200 L to cubic centimeters.
Problem 146
Given that 12 months \(=1\) year, determine what conversion factor is appropriate to convert 72 months to years; to convert 3.5 years to months.
Problem 147
Perform each of the following conversions, being sure to set up clearly the appropriate conversion factor in each case. a. \(8.43 \mathrm{cm}\) to millimeters b. \(2.41 \times 10^{2} \mathrm{cm}\) to meters c. \(294.5 \mathrm{nm}\) to centimeters d. \(404.5 \mathrm{m}\) to kilometers e. \(1.445 \times 10^{4} \mathrm{m}\) to kilometers f. \(42.2 \mathrm{mm}\) to centimeters g. \(235.3 \mathrm{m}\) to millimeters h. \(903.3 \mathrm{nm}\) to micrometers
Problem 148
Perform each of the following conversions, being sure to set up clearly the appropriate conversion factor(s) in each case. a. 908 oz to kilograms b. 12.8 L to gallons c. \(125 \mathrm{mL}\) to quarts d. 2.89 gal to milliliters e. 4.48 lb to grams f. 550 mL to quarts