Objective 2: Write a Number in Scientific Notation Write each number in scientifi c notation. 35) 2110.5 2.1105 103 36) 38.25 3.825 101 37) 0.000096 9.6 105 38) 0.00418 4.18 103 39) 7,000,000 7 106 40) 62,000 6.2 104 41) 3400 3.4 103 42) 145,000 1.45 105 43) 0.0008 8 104 44) 0.00000022 2.2 107 45) 0.076 7.6 102 46) 990 9.9 102 47) 6000 6 103 48) 500,000 5 105 Write each number in scientifi c notation. 49) The total weight of the Golden Gate Bridge is 380,800,000 kg. (www.goldengatebridge.com) 3.808 108 kg 50) A typical hard drive may hold approximately 160,000,000,000 bytes of data. 1.6 1011 bytes 51) The diameter of an atom is about 0.00000001 cm. 1 108 cm 52) The oxygen-hydrogen bond length in a water molecule is 0.000000001 mm. 1 109 mm Objective 4: Perform Operations with Numbers in Scientific Notation Perform the operation as indicated. Write the fi nal answer without an exponent. 53) 6 109 2 105 30,000 54) (7 102)(2 104) 55) (2.3 103)(3 102) 56) 8 107 4 104 2000 57) 690,000 8.4 1012 7 109 1200 58) 14,000,000 4.5 106 1.5 108 300 59) (1.5 108)(4 106) 0.06 60) (3 102)(2.6 103) 0.000078 61) 3 105 6 108 0.0005 62) 2 101 5 104 0.0004 For each problem, express each number in scientifi c notation, then solve the problem. 63) Humans shed about 1.44 107 particles of skin every day. How many particles would be shed in a year? (Assume 365 days in a year.) 5,256,000,000 particles 64) Scientists send a lunar probe to land on the moon and send back data. How long will it take for pictures to reach Earth if the distance between Earth and the moon is 360,000 km and if the speed of light is 3 105 km/sec? 1.2 sec 65) In Wisconsin in 2001, approximately 1,300,000 cows produced 2.21 1010 lb of milk. On average, how much milk did each cow produce? (www.nass.usda.gov) 17,000 lb/cow 66) The average snail can move 1.81 103 mi in 5 hours. What is its rate of speed in miles per hour? 0.000362 mph 67) A photo printer delivers approximately 1.1 106 droplets of ink per square inch. How many droplets of ink would a 4 in. 6 in. photo contain? 26,400,000 droplets 68) In 2007, 3,500,000,000,000 prescription drug orders were fi lled in the United States. If the average price of each prescription was roughly $65.00, how much did the United States pay for prescription drugs last year? (www.ncsl.org) $227,500,000,000,000 69) According to Nielsen Media Research, over 92,000,000 people watched Super Bowl XLIII in 2009 between the Pittsburgh Steelers and the Arizona Cardinals. The California Avocado Commission estimates that about 736,000,000 ounces of avocados were eaten during that Super Bowl, mostly in the form of guacamole. On average, how many ounces of avocados did each viewer eat during the Super Bowl? 8 ounces per person 70) In 2009, the United States produced about 5.5 109 metric tons of carbon emissions. The U.S. population that year was about 307 million. Find the amount of carbon emissions produced per person that year. Round to the nearest tenth. (http://epa.gov, www.census.gov) 17.9 metric tons R2) In which college courses, other than math, do you think scientifi c notation is used? R1) When would you want to write a number in scientifi c notation? www.mhhe.com/messersmith SECTION 10.3 Scientific Notation 789
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