PROBLEM SET
For the following exercises, simplify the given expression. Write answers with positive exponents.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
For the following exercises, express the decimal in scientific notation.
20. 148,000,000
21. 0.0000314
For the following exercises, convert each number in scientific notation to standard notation.
22.
23.
Real-World Applications
24. To reach escape velocity, a rocket must travel at the rate of ft/min. Rewrite the rate in standard notation.
25. A dime is the thinnest coin in U.S. currency. A dime’s thickness measures m. Rewrite the number in standard notation.
26. The average distance between Earth and the Sun is 92,960,000 mi. Rewrite the distance using scientific notation.
27. A terabyte is made of approximately 1,099,500,000,000 bytes. Rewrite in scientific notation.
28. The Gross Domestic Product (GDP) for the United States in the first quarter of 2014 was Rewrite the GDP in standard notation.
29. One picometer is approximately in. Rewrite this length using standard notation.
30. The value of the services sector of the U.S. economy in the first quarter of 2012 was $10,633.6 billion. Rewrite this amount in scientific notation.