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 33.80 fl oz 1 L 2.10 pt 1 L 1.06 qt 1 L 0.26 gal Celsius and Fahrenheit Formulas C F 32 9 9 F C 32 1
In Exercises 1-44, use unit fractions to perform the following conversions. Round your answers to the nearest tenth if necessary. 1. 68 inches to centimeters 2. 42 inches to centimeters 3. 44 centimeters to inches 4. 2 centimeters to inches. 20 meters to yards 6. 3 meters to yards 7. 9.7 yards meters 8. 8.3 yards to meters 9. 79 miles to kilometers 10. 47 miles to kilometers 11. 10 kilometers to miles 12. kilometers to miles 13. 16 feet to meters 14. 18 feet to meters 1. 26.1 meters to feet 16. 34.12 meters to feet 17. 240 grams to ounces 18. 190 grams to ounces 19. 4. ounces to grams 20. 10. ounces to grams 21. 8 kilograms to pounds 22. 62 kilograms to pounds 23. 20 pounds to kilograms 24. 130 pounds to kilograms 2. 40 fluid ounces to liters 26. 60 fluid ounces to liters 27. 1 liters to fluid ounces 28. 12 liters to fluid ounces 29. 28.6 liters to quarts 30. 34.6 liters to quarts 31. 9 quarts to liters 32. 6 quarts to liters 33. 8 pints to liters 34. 4 pints to liters 3. 16.43 liters to pints 36. 19.4 liters to pints 37. 28 pints to liters 38. 24 pints to liters 39. 18.7 liters to gallons 40. 12.7 liters to gallons 41. 13 gallons liters 42. 19 gallons to liters 43. 41 yards to centimeters 44. 23 yards to centimeters 2
In Exercises 4-6, use unit fractions to perform the following conversions. Round your answers to the nearest tenth if necessary. 4. 3.7 meters to inches 46. 6.7 meters to inches 47. 1323 centimeters to yards 48. 171 centimeters to yards 49. 2.48 kilograms to ounces 0. 3.74 kilograms to ounces 1. 72,073 fluid ounces to kiloliters 2. 6,079 fluid ounces to kiloliters 3. 6480 milliliters to gallons 4. 290 milliliters to gallons. 39. gallons to milliliters 6. 47. 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
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 299,792.48 kilometers per second. How fast is this in miles per hour? 72. The speed of sound is 761.207 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
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. 86. 60 F 87. 80 F 88. 4 F 89. 2 F 90. 78 F 91. 62 F 92. 1 F 93. 12 F In Exercises 94-101, convert the following Fahrenheit temperatures to Celsius. Round your answers to the nearest degree if necessary. 94. 8 C 9. 6 C 96. 18 C 97. 20 C 98. 7 C 99. 9 C 100. 33 C 101. 28 C