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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 × 105 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 × 106 10. 3.060 × 107 12. 4.56 × 100 Simplify. Write each answer using scientific notation. 13. 5(3.2 × 104) 14. 0.7(8.54 × 104) 15. 87(6.4 × 105) 16. 0.03(6 × 107) 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 × 103, 9.4 × 102 22. 7.94 × 106, 7.93 × 107 23. 9 × 106, 6 × 107 Write a number in standard notation that is between the two given numbers. 24. 3.42 × 108, 3.421 × 108 25. 1.3 × 104, 1 × 103 26. 5.708 × 106, 5.7008 × 106 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 × 105, 2.8 × 104 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 × 1023 grams. a. What is the mass of two atoms of carbon? b. What is the mass of five atoms of carbon?