USEFUL RELATIONSHIPS
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1 Use the chart below for the homework problems in this section. USEFUL RELATIONSHIPS U.S. Customary 12 in. = 1 ft 3 ft = 1 yd 280 ft = 1 mi 16 oz = 1 lb 2000 lbs = 1 T 8 fl oz = 1 c 2 c = 1 pt 2 pts = 1 qt 4 qts = 1 gal U.S. Customary to Metric 1 in. = 2.4 cm 1 ft 0.30 m 1 yd 0.91 m 1 mi 1.61 km 1 oz 28.3 g 1 lb 0.4 kg 1 fl oz 0.03 L 1 pt 0.47 L 1 qt 0.9 L 1 gal 3.79 L Metric to U.S. Customary 1 cm 0.39 in. 1 m 3.28 ft 1 m 1.09 yd 1 km 0.62 mi 1 g 0.03 oz 1 kg 2.20 lbs 1 L fl oz 1 L 2.10 pt 1 L 1.06 qt 1 L 0.26 gal Celsius and Fahrenheit Formulas C F F C 32 1
2 In Exercises 1-44, use unit fractions to perform the following conversions. Round your answers to the nearest tenth if necessary inches to centimeters inches to centimeters centimeters to inches 4. 2 centimeters to inches. 20 meters to yards 6. 3 meters to yards yards meters yards to meters miles to kilometers miles to kilometers kilometers to miles 12. kilometers to miles feet to meters feet to meters meters to feet meters to feet grams to ounces grams to ounces ounces to grams ounces to grams kilograms to pounds kilograms to pounds pounds to kilograms pounds to kilograms fluid ounces to liters fluid ounces to liters liters to fluid ounces liters to fluid ounces liters to quarts liters to quarts quarts to liters quarts to liters pints to liters pints to liters liters to pints liters to pints pints to liters pints to liters liters to gallons liters to gallons gallons liters gallons to liters yards to centimeters yards to centimeters 2
3 In Exercises 4-6, use unit fractions to perform the following conversions. Round your answers to the nearest tenth if necessary meters to inches meters to inches centimeters to yards centimeters to yards kilograms to ounces kilograms to ounces 1. 72,073 fluid ounces to kiloliters 2. 6,079 fluid ounces to kiloliters milliliters to gallons milliliters to gallons. 39. gallons to milliliters gallons to milliliters In Exercises 7-66, solve each application problem and state the answer in a complete sentence. Round your answer to the nearest tenth if necessary. 7. Find the height in meters of a person who is ft 8 in. tall. 8. How many kilograms does a 1-pound turkey weigh? 9. Find the distance, in feet, of the 100 m relay race. 60. Find the number of gallons in 6 L of antifreeze. 61. Find the weight, in kilograms, of a 210-pound person. 62. How many meters is the 100-yard dash? 63. Find the number of cups in 2 L of soda. 64. Find the width in inches of 3-mm film. 6. How many gallons of water does a 24-liter aquarium hold? 66. The heavy-duty wash cycle in a dishwasher uses 8.4 gal of water. How many liters does it use? 3
4 In Exercises 67-7, solve each application problem and state the answer in a complete sentence. Round your answer to the nearest tenth if necessary. 67. The fastest nerve signals in the human body travel 120 meters per second. How many feet per second do the signals travel? 68. If the price of gas is $4.28 per gallon, find the price per liter. 69. A car is traveling at a speed of 80 kilometers per hour. How fast is this in miles per hour? 70. Seedless watermelon costs $0.9 per pound. Find the cost per kilogram. 71. The speed of light is 299, kilometers per second. How fast is this in miles per hour? 72. The speed of sound is miles per hour. How fast is this in meters per second? 73. If ice cream is $1.7 per liter, find the price per gallon. 74. The speed limit on the freeway is 6 miles per hour. How fast is this in kilometers per hour? 7. The speed limit in a residential area is 2 miles per hour. How fast is this in kilometers per hour? In Exercises 76-80, circle the most reasonable metric temperature for each situation. 76. The child has a fever of: 29 C 39 C 49 C 77. The temperature inside the refrigerator (not the freezer): 1 C 0 C 3 C 78. There s a blizzard outside. It s: 20 C 4 C 12 C 79. Let s go to the beach! It s: 3 C 6 C 9 C 80. I need hot water to get these clothes clean. The water should be: 3 C C 10 C 4
5 In Exercises 81-8, circle the most reasonable metric temperature for each situation. 81. Swimming pool water: 10 C 18 C 27 C 82. Brewing coffee: 1 C 80 C 180 C 83. A high fever: 2 C 38 C 40 C 84. Oven temperature: 30 C 0 C 10 C 8. A snowy day: 8 C 12 C 28 C In Exercises 86-93, convert the following Fahrenheit temperatures to Celsius. Round your answers to the nearest degree if necessary F F F F F F F F In Exercises , convert the following Celsius temperatures to Fahrenheit. Round your answers to the nearest degree if necessary C 9. 6 C C C C C C C
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