U1-LM2B- Worksheet – Significant Figures and Unit Conversions 1. How many significant figures are in the following measurements? AND What is the uncertainty in each of these measurements? 1304 mm 4 sig figs, uncertainty ± 1 500.0 in 40.002 Kg 5 sig figs, uncertainty ±.001 0.04320 gal 2030 g 4 sig figs, uncertainty ± .1 4 sig figs, uncertainty ± .00001 0.01 yd 1 sig fig, uncertainty ± .01 3 sig figs, uncertainty ± 10 2. Express the following in the proper number of significant figures: 3.4 in + 0.20 in + 14.123 in = 17.7 in 12,000 in + 535 in + 25.0 in = 13000 in 1.0327 miles - 1.00044 miles = .0322 miles 45 in X 3.25 in = 150 in2 1200 in 4 in = 300 3. Which is larger? 150 cm or 0.15 m? 150 cm 2 L or 8.5 m3? 8.5 m3 150 ft or 1500 cm? 150 ft 4. Express 2.61 cubic feet in cubic millimeters. 2.61 ft3 1728 in3 16.4 cm3 1000 mm3 = 7.40 x 107 mm3 1 ft3 1 in3 1 cm3 5. The density of water at 25 ºC is 1 g/mL. Calculate the density of water in lb/ft3. (1 lb = 454 g, 1ft = 12 in, 1 in = 2.54 cm and 1 cm3 = 1 mL) 1 g 1 lb 1 mL 2.543 cm3 12 3 in3 1mL 454 g cm3 1 in3 1 ft3 = 60 lb/ft3 = 62.4 lb/ft3 6. A swimmer completed a 1650. yd race in 14 minutes and 48 seconds. What is the swimmer's average speed in miles/hour? (1mile = 1760 yd) 1650 yd 1 mile 3600 sec = 3.801 mi/hr 888 sec 1760 yd 1 hour 7. A cube of metal is 1.42 millimeters on an edge. Its mass is 0.0163 Kg. Express its density in g/ml (1 ml = 1 cm3) 1.42 mm 1 cm =.142 cm 10 mm 0.0163 Kg 1000 g 1 cm3 = 5690 g/mL 0.1423 cm3 1 Kg 1 mL 8. The price of gasoline is $3.59 per gallon in Texas. How much does it cost to fill an 80.0 L tank? How much would it cost to travel 180. km driving at 25 mpg ? (1 gal = 3.78 L, 1 mi = 1.61 km) 80.0 L 1 gal $3.59 = $75.98 3.78 L 1 gal = $76.0 180 km 1 mi 1 gal $3.59 = $16.05 1.61 km 25 mi 1 gal = $16.0 9. A car travels at a speed of 45 mi/hr. How many meters does it travel per second? (1 mi = 1.61 km) 45 mi 1.61 km 1000 m 1 hr = 20. m/s 1 hr 1 mi 1 km 3600 sec

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