418 CHAPTER 7 The Metric System 62. Track Distance One lap around the track at Borton High School is 400 meters. Derek ran 13 laps. Meanwhile, Robert ran 5 kilometers. a) How many meters did Derek run? 5200 m b) How many meters did Robert run? 5000 m c) Who ran farther, Derek or Robert? Derek 63. Medicine Dosage Following an injury, Keene is taking 300 milligrams of gabapentin 3 times per day. a) How many mg of gabapentin will Keene take in one week? 6300 mg b) How many grams of gabapentin will Keene take in one week? 6.3 g 64. Tennis Stadiums This photo taken at the Roland Garros Tennis Stadium in Paris shows the distances from the Roland Garros Stadium to tennis stadiums where the other three grand slams of tennis are played. a) How much farther from the Roland Garros Tennis Stadium is Melbourne Park (in Australia) than Flushing Meadows (in New York)? 11 120 km b) What is the distance determined in part (a) in meters? 11 120 000 m Concept/Writing Exercises 65. Walking Would you be walking faster if you walked 1 dam in 10 min or 1 hm in 10 min? Explain. 1 hm in 10 min, 1 hm 1 > dam 66. Who Ran Faster Jim ran 100 m, and Bob ran 100 yd in the same length of time. Who ran faster? Explain. Jim, 1m 1yd > 67. Water Removal One pump removes 1 da of water in 1 min, and another pump removes 1 d of water in 1 min. Which pump removes water faster? Explain. The pump that removes 1 da per minute, 1 da 1 d > 68. Balance If 5 kg are placed on one side of a balance and a 15 lb weight is placed on the other side, which side is heavier? Explain. The side with the 15 lb is heavier, 15 lb 5 kg. > Challenge Problems/Group Activities In Exercises 69–72, fill in the blank to make a true statement. 69. 1 gigameter = _______ megameters 1000 70. 1 nanogram = _______ micrograms 0.001 71. 1 teraliter = _______ picoliters 1 10 1 000 000 000 000 000 000 000 000 24 × = 72. 1 megagram = _______ nanograms 1 10 1 000 000 000 000 000 15 × = Large and Small Numbers One advantage of the metric system is that by using the proper prefix, you can write large and small numbers without large groups of zeros. In Exercises 73–78, write an equivalent metric measurement without using any zeros. For example, you can write 3000 m without zeros as 3 km and 0.0003 hm as 3 cm. 73. 9000 cm 9 dam 74. 2000 mm 2 m 75. 0.000 06 hg 6 mg 76. 3000 dm 3 hm 77. 0.02 k 2 da 78. 500 cm 5 m Research Activity 79. Development of the Metric System Write a report on the development of the metric system in Europe. Indicate which individual people had the most influence in its development. 80. Metric Prefixes In the Mathematics Today on page 413 we presented a table of metric prefixes. As computer chips have become more powerful, additional metric prefixes have been named. Do research and write a report that includes the names of all metric prefixes not listed in the chart. Include their metric symbols, and their size as a power of 10. A track meet has a 500-meter dash and a 5-kilometer run. A beach towel ordered online has an area of 20,000 square centimeters. The volume of the engine in a new pickup truck is 3.5 liters. These are only a few of the examples of metric measurements for length, area, and volume that we may encounter in our lives. United States companies that export their products to other countries must use metric units to describe the products’ specifications. Products that are imported into the U.S. are often described with metric units. As globalization continues in our modern world, more and more items that we encounter in our everyday lives are described using metric units of length, area, and volume. Length, Area, and Volume SECTION 7.2 LEARNING GOALS Upon completion of this section, you will be able to: 7 Understand the units of length in the metric system. 7 Understand the units of area in the metric system. 7 Understand the units of volume in the metric system. Mariakraynova/123RF
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