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Name
8.4
Class
Practice
Date
Form G
Use Scientific Notation
Is the number written in scientific notation? If not, explain.
1. 32.1 × 105
2. 5.6 × 1012
3. 4.6 × 105
4. 0.7 × 1034
Write each number in scientific notation.
5. 3,200,000,000,000
6. 0.00000802
7. 70,030,000
8. 8.7 billion
Write each number in standard notation.
9. 3.37 × 1012
11. 4.2 × 106
10. 3.060 × 107
12. 4.56 × 100
Simplify. Write each answer using scientific notation.
13. 5(3.2 × 104)
14. 0.7(8.54 × 104)
15. 87(6.4 × 105)
16. 0.03(6 × 107)
17. Writing.
Scientific notation is often used for working with very small or very large
numbers. Describe two situations where using scientific notation might be appropriate.
18. Reasoning. How does a number in scientific notation change when you multiply it by
100?
19. Country A has a population of 8.7 × 109. You hear that country B has twice as many people
as country A and country C has twice as many people as country B. How many people live
in country C?
Name
8.4
Class
Date
Practice (continued)
Form G
Use Scientific Notation
Write a number in scientific notation that is between the two given numbers.
20. 6.2 × 105, 9.6 × 104
21. 3.7 × 103, 9.4 × 102
22. 7.94 × 106, 7.93 × 107
23. 9 × 106, 6 × 107
Write a number in standard notation that is between the two given numbers.
24. 3.42 × 108, 3.421 × 108
25. 1.3 × 104, 1 × 103
26. 5.708 × 106, 5.7008 × 106
27. 1.2 × 100, 1.3 × 100
Write a number in words that is between the two given numbers.
28. 6.52 × 107, 1.2 × 108
29. 3.9 × 105, 2.8 × 104
30. Open-Ended. Write two factors that, when multiplied together, produce a product of 3.6 ×
108. One of the factors should be written in scientific notation.
31. Light travels at 1.86 × 105 miles per second. If a particle is traveling at half the speed of light,
how fast is it moving?
32. An atom of carbon has a mass of 1.99 × 1023 grams.
a. What is the mass of two atoms of carbon?
b. What is the mass of five atoms of carbon?
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