Survey of Mathematics

7.1 Basic Terms and Conversions Within the Metric System 417 30. 54 789 g = _______ kg 54.789 31. 186.2 cm = _______ m 1.862 32. 9.32 m = _______ 0.009 32 33. 0.000 146 hg = _______ g 0.014 6 34. = 5.6 da _______ 56 In Exercises 35– 42, convert the given unit to the unit indicated. 35. 6.5 km to millimeters 6 500 000 mm 36. 0.325 hm to mm 32 500 mm 37. 24 hm to kilometers 2.4 km 38. 0.034 m to deciliters 0.000 34 d 39. 69.3 kg to hectograms 693 hg 40. 0.32 dg to cg 3.2 cg 41. 40 302 m to dekaliters 4.0302 da 42. 578 000 m to d 5780 d In Exercises 43– 48, arrange the quantities in order from smallest to largest. 43. 4.4 dam, 0.52 km, 620 cm 620 cm, 4.4 dam, 0.52 km 44. 514 hm, 62 km, 680 m 680 m, 514 hm, 62 km 45. 1.4 kg, 1600 g, 16 300 dg 1.4 kg, 1600 g, 16 300 dg 46. 4.3 , 420 c , 0.045 k 420 c , 4.3 , 0.045 k 47. 2.6 km, 105 000 mm, 52.6 hm 105 000 mm, 2.6 km, 52.6 hm 48. 0.032 k , 460 d , 48 000 c 0.032 k , 460 d , 48 000 c Problem Solving Giraffes In Exercises 49–56, use the following information about the Masai giraffe to answer the questions. The male giraffe can reach a height of about 5.8 meters and have a mass of about 1270 kilograms. Its tongue can be about 50 centimeters long. It can run for short distances at a speed of about 56.3 kilometers per hour. 49. What is the height of the giraffe in centimeters? 580 cm 50. What is the height of the giraffe in millimeters? 5800 mm 51. What is the length of its tongue in meters? 0.5 m 52. What is the length of its tongue in kilometers? 0.0005 km 53. What is the mass of the giraffe in grams? 1 270 000 g 54. What is the mass of the giraffe in decigrams? 12 700 000 dg 55. What is the speed of the giraffe in meters per hour? 56 300 m/h 56. What is the speed of the giraffe in dekameters per hour? 57. Mount Fuji and Pikes Peak The most visited mountain in the world is Mount Fuji in Japan, which has a height of 3776 meters. The second most visited mountain in the world is Pikes Peak in Colorado, which has a height of 4302 meters. a) How many meters higher is Pikes Peak than Mount Fuji? 526 m b) How many centimeters higher is Pikes Peak than Mount Fuji? 52 600 cm c) How many hectometers higher is Pikes Peak than Mount Fuji? 5.26hm m Mount Fuji 58. Rhinos and Hippos Ceron, a rhinoceros, has a mass of about 2300 kg. Musta, a hippopotamus, has a mass of about 1400 kg. a) How many kilograms greater is Ceron’s mass than Musta’s mass? 900 kg b) How many grams greater is Ceron’s mass than Musta’s mass? 900 000 g c) How many milligrams greater is Ceron’s mass than Musta’s mass? 900 000 000 mg 59. Calcium Tablets Deandra takes two 250-mg chewable calcium tablets each day. a) How many milligrams of calcium will Deandra take in a week? 3500 mg b) How many grams of calcium will Deandra take in a week? 3.5 g 60. Framing a Painting A painting, including the frame, measures 74 cm by 99 cm. a) How many centimeters of framing are needed to frame the painting? 346 cm b) How many millimeters of framing are needed to frame the painting? 3460 mm 61. Root Beer Comparison Adrianne is making a comparison between two quantities of root beer: a 2-liter bottle of root beer and an 8-pack of 355 ml bottles of root beer. a) How many milliliters of root beer are there in the 2-liter bottle? 2000 m b) How many total milliliters of root beer are there in the 8-pack of 355 ml bottles? 2840 m c) Which quantity provides Adrienne with more root beer? 8-pack 5630 dam/h Craig Hanson/Shutterstock Oleg Znamenskiy/123RF

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