Math 101 Homework 1 Some Conversion Tables Metric to U.S. 1 millimeter [mm] 0.03937 in 1 centimeter [cm] 10 mm 0.3937 in 1 meter [m] 100 cm 1.0936 yd 1 kilometer [km] 1000 m 0.6214 mile U.S. to metric 1 inch [in] 1 foot [ft] 12 in 1 yard [yd] 3 ft 1 mile 1760 yd 1 int nautical mile 2025.4 yd 2.54 cm 0.3048 m 0.9144 m 1.6093 km 1.853 km Area Conversions Metric to U.S. 1 sq cm [cm2 ] 100 mm2 0.1550 in2 1 sq m [m2 ] 10,000 cm2 1.1960 yd2 1 hectare [ha] 10,000 m2 2.4711 acres 1 sq km [km2 ] 100 ha 0.3861 mile2 U.S. to metric 1 sq inch [in2 ] 1 sq foot [ft2 ] 144 in2 1 sq yd [yd2 ] 9 ft2 1 acre 4840 yd2 1 sq mile [mile2 ] 640 acres 6.4516 cm2 0.0929 m2 0.8361 m2 4046.9 m2 2.59 km2 1 2 Fluids and Weights Metric to U.S. 1 gram [g] 1,000 mg 1 kilogram [kg] 1,000 g 1 tonne [t] 1,000 kg 1 liter [`] 0.0353 oz 2.2046 lb 1.1023 ton 1.0569 qt U.S. to metric 1 fluid ounce 29.574 ml 1 pint 16 fl oz 0.4731 ` 1 gallon 4 qt 3.7854 ` 1 pound [lb] 16 oz 0.4536 kg Exercises. Use the above conversion tables to answer the following questions: 1. Which is larger: 400 meters or a quarter mile. 2. Which is larger: 13 millimeters (mm) or half an inch? Use your answer to explain why mechanics often interchange a metric 13 mm wrench with a standard 1/2 inch wrench. 3. In Mexico the currency exchange rate is 1 U.S. dollar equals 10.85 pesos. If gasoline costs 52.3 pesos per liter, what is the price of gasoline is U.S. dollars per gallon? 4. In Mexico the currency exchange rate is 1 U.S. dollar equals 10.85 pesos. If a kilogram of shrimp costs 40 pesos, what is the price of shrimp is U.S. dollars per pound? 5. A developer wishes to build houses on a 5 acre piece of land. Each house is built on a lot whose size is 60 feet by 80 feet. What is the maximum number of houses that can be built on the five acres? 6. How many years is 1 billion seconds?