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3. Lesson 8-3 Scientific Notation
Contents

4. Example 1 Scientific to Standard Notation
Example 2 Standard to Scientific Notation
Example 3 Use Scientific Notation
Example 4 Multiplication with Scientific Notation
Example 5 Division with Scientific Notation
Lesson 3 Contents

5. Express in standard notation.
move decimal point 3 places to the left.
Answer:
Example 3-1a

6. Express in standard notation.
move decimal point 5 places to the right.
Answer: 219,000
Example 3-1b

7. Express each number in standard notation. a.
Answer:
Answer: 7610
Example 3-1c

8. Express 0.000000672 in scientific notation.
Move decimal point 7 places to the right.
and
Answer:
Example 3-2a

9. Express 3,022,000,000,000 in scientific notation.
Move decimal point 12 places to the left.
and
Answer:
Example 3-2b

10. Express each number in scientific notation. a. 458,000,000
Answer:
Answer:
Example 3-2c

11. Answer: Shoes sold to women:
The Sporting Goods Manufacturers Association reported that in 2000, women spent $4.4 billion on 124 million pairs of shoes. Men spent $8.3 billion on 169 million pairs of shoes.
Express the numbers of pairs of shoes sold to women, pairs sold to men, and total spent by both men and women in standard notation.
Answer: Shoes sold to women:
Shoes sold to men:
Total spent:
Example 3-3a

12. Write each of these numbers in scientific notation.
Answer: Shoes sold to women:
Shoes sold to men:
Total spent:
Example 3-3b

13. The average circulation for all U. S. daily newspapers in 2000 was 111
The average circulation for all U.S. daily newspapers in 2000 was billion newspapers. The top three leading newspapers were The Wall Street Journal, with a circulation of 1.76 million newspapers, USA Today, which sold 1.69 million newspapers, and The New York Times, which had 1.10 million readers.
a. Express the average daily circulation and the circulation of the top three newspapers in standard notation.
Answer: Total circulation: 111,500,000,000; The Wall Street Journal: 1,760,000; USA Today: 1,690,000; The New York Times: 1,100,000
Example 3-3c

14. b. Write each of the numbers in scientific notation.
The average circulation for all U.S. daily newspapers in 2000 was billion newspapers. The top three leading newspapers were The Wall Street Journal, with a circulation of 1.76 million newspapers, USA Today, which sold 1.69 million newspapers, and The New York Times, which had 1.10 million readers.
b. Write each of the numbers in scientific notation.
Answer: Total circulation: The Wall Street Journal: USA Today: The New York Times:
Example 3-3d

15. Evaluate Express the result in scientific and standard notation.
Commutative and Associative Properties
Product of Powers
Associative Property
Example 3-4a

16. Product of Powers
Answer:
Example 3-4b

17. Evaluate Express the result in scientific and standard notation.
Answer:
Example 3-4c

18. Evaluate Express the result in scientific and standard notation.
Associative Property
Product of Powers
Answer:
Example 3-5a

19. Evaluate Express the result in scientific and standard notation.
Answer:
Example 3-5b

20. End of Lesson 3

21. Explore online information about the information introduced in this chapter.
Click on the Connect button to launch your browser and go to the Algebra 1 Web site. At this site, you will find extra examples for each lesson in the Student Edition of your textbook. When you finish exploring, exit the browser program to return to this presentation. If you experience difficulty connecting to the Web site, manually launch your Web browser and go to
Algebra1.com

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