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Scientific Notation

Scientific Notation. CCA Answers. 1. D 2. 3. B 4. A 5. B 6. C 7. A 8. A 9. C 10. D 11. A. 12. C 13. B 14. B 15. C 16. A 17. $238.22 18. $7.98 19. D 20. C 21. D Bonus: D (6 2/3). Exponents. 2 5. Exponent. Base. It means 2 · 2 · 2 · 2 · 2.

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Scientific Notation

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  1. Scientific Notation

  2. CCA Answers • 1. D • 2. • 3. B • 4. A • 5. B • 6. C • 7. A • 8. A • 9. C • 10. D • 11. A • 12. C • 13. B • 14. B • 15. C • 16. A • 17. $238.22 • 18. $7.98 • 19. D • 20. C • 21. D • Bonus: D (6 2/3)

  3. Exponents 25 Exponent Base It means 2 · 2 · 2 · 2 · 2

  4. Look at the back of your worksheet Write in exponential form. 11. 18 · 18 · 18 12. 2a · 2a · 2a 13. (-9)(-9)(-9)(-9) 14. Is -24 = (-2)4? Why or why not?

  5. Evaluate: 15. 102 16. 101 17. 100 18. 10-1 19. 10-2

  6. Scientific Notation • Scientific Notation is used to write very large or very small numbers in a way that is easier to read and understand • 2.34 x 105 is in scientific notation. • The first number has to be one or greater, but less than 10. • It will always be times 10 to the something power. • The exponent tells you how many times the decimal has been moved.

  7. Really Large Numbers • When a number starts out as a number greater than one, the exponent will be positive. • 4,250,000,000 • 4.25 x 109 • 5.8 x 104 • 58,000

  8. Really Small Numbers • When a number starts out less than one, the exponent will be negative. • 0.000456 • 4.56 x 10-6 • 3.974 x 10-7 • 0.0000003974

  9. Examples • Yes • No • No • No • Yes • Which are in scientific notation? 3.5 x 103 62.6 x 10-2 0.86 x 108 3.82 x 100-6 4.6 x 100

  10. Examples • Write in scientific notation • 13,030,000 • 0.000 092 • 0.003 5 • 4,825,000,000 • 675 million • 283 hundred thousandths • 1.303 x 107 • 9.2 x 10-5 • 3.5 x 10-3 • 4.825 x 109 • 6.75 x 108 • 2.83 x 10-3

  11. Examples • Write as a standard number: • 3.84 x 106 • 6.2 x 10-5 • 5 x 10-3 • 1.2345 x 1010 • 7.91 x 100 • 5 x (7 x 106) • 3,840,000 • 0.000 062 • 0.005 • 12,345,000,000 • 7.91 • 35,000,000

  12. Front of Worksheet 1. The distance from Earth to the moon is about 3.8 · 105 kilometers. Which is another way to express this distance? A. 3,800 km B. 38,000 km C. 380,000 km D. 3,800,000 km 2. The width of a plant cell is approximately 0.000183 meters. How is the expressed in scientific notation? F. 1.83 · 10-5 m G. 1.83 · 10-4 m H. 18.3 · 10-4m J. 183 · 10-5 m

  13. 3. The United States produces 4.543 · 106 tons of solid waste annually. This number can be written as— A. 454,300 B. 4,543,000 C. 45,430,000 D. 4,543,000,000 4. The proteins in your body are made up of amino acids. An amino acid is about 0.000000008 meters wide. How is this number expressed in scientific notation? F. 8 · 108 G. 8 · 10-8 H. 8 · 109 J. 8 · 10-9

  14. 10. The diameter of an oxygen molecule is about 0.000000000339 meters. What is the diameter of two oxygen molecules lined up in a row expressed in scientific notation? F. 6.78 · 10-9 G. 6.78 · 10-10 m H. 6.78 · 10-10 m J. 678 · 10-8 m

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