Each statement comes from Astronomy! A Brief Editionby James B. Kaler (Addison-Wesley).
If the number in boldface italics is in scientific notation, write it without exponents. If the
number is written without exponents, write it in scientific notation.
75.Multiplying this view over the whole sky yields a
galaxy count of more than 10 billion.(page 496)
76.The circumference of the solar orbit is... about
4.7 millionkm.... (in reference to the orbit of
Jupiter, page 395)
77.The solar luminosity requires that kg of
mass be converted into energy every second.
(page 327)
78.At maximum, a cosmic ray particle—a mere
atomic nucleus of only cm across—can
carry the energy of a professionally pitched
baseball. (page 445)
Each statement contains a number in boldface italics. Write the number in scientific
notation.
79.At the end of 2007, the total number of cellular telephone subscriptions in the world
reached about 3,305,000,000.(Source: International Telecommunications Union.)
80.In 2007, the leading U.S. advertiser was the Procter and Gamble Company, which spent
approximately $5,230,000,000.(Source: Crain Communications, Inc.)
81.During 2008, worldwide motion picture box office receipts (in U.S. dollars) totaled
$28,100,000,000.(Source: Motion Picture Association of America.)
82.In 2007, assets of the insured commercial banks in the United States totaled about
$13,039,000,000,000.(Source: U.S. Federal Deposit Insurance Corporation.)
Use scientific notation to calculate the answer to each problem. See Examples 3–5.
83.The body of a 150-lb person contains about 1b of copper. How much copper
is contained in the bodies of 1200 such people?
84.In 2007, the state of Minnesota had about farms with an average of
acres per farm. What was the total number of acres devoted to farmland in Minnesota that
year? (Source: U.S. Department of Agriculture.)
85.Venus is mi from the sun. If light travels at a speed of mi per sec,
how long does it take light to travel from the sun to Venus? (Source: World Almanac and
Book of Facts.)
- (a)The distance to Earth from Pluto is km. In April 1983, Pioneer 10trans-
mitted radio signals from Pluto to Earth at the speed of light, km per sec.
How long (in seconds) did it take for the signals to reach Earth?
(b)How many hours did it take for the signals to reach Earth?
87.During the 2007–2008 season, Broadway shows grossed a total of dollars.
Total attendance for the season was What was the average ticket price for a
Broadway show? (Source: The Broadway League.)
88.In 2007, dollars were spent to attend motion pictures in the United States.
Domestic admissions (the total number of tickets sold) for that year totaled
1.4 billion. What was the average ticket price? (Source: Motion Picture Association of
America.)
9.63* 109
1.23* 107.
9.38* 108
3.00* 105
4.58* 109
6.68 107 1.86 105
7.9 104 3.5 102
2.3* 10 -^4
10 ^13
2 : 109
318 CHAPTER 5 Exponents and Polynomials
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