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Scientific Notation

Scientific Notation. Making Your Life Easier. Example Problem. Calculate the force of the sun on the earth:. Decimal Notation (Normal). My calculator can’t even handle this many digits!. · means multiply. Example: 340 = 3.4 · 10 2 M n. Notes: Scientific Notation.

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Scientific Notation

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  1. Scientific Notation Making Your Life Easier

  2. Example Problem Calculate the force of the sun on the earth: Decimal Notation (Normal) My calculator can’t even handle this many digits!

  3. · means multiply Example: 340 = 3.4· 102 Mn Notes: Scientific Notation

  4. Note: if no decimal point is written it automatically goes at the end (right) of the number Notes: Decimal Notation Scientific Notation Example: 658,000 Example: 658,000.

  5. Notes: Decimal Notation Scientific Notation Example: 658,000. Example: 6.58,000.

  6. Notes: Decimal Notation Scientific Notation Example: 658,000 Example: 6.58,000. n = 5

  7. Note: n is positive since 658,000 is bigger than 1 Notes: Decimal Notation Scientific Notation Example: 658,000 Example: 6.58,000. n = 5

  8. Notes: Decimal Notation Scientific Notation Example: 658,000=6.58·105

  9. Notes: Scientific Notation Decimal Notation Example: 7.04 ·10-3

  10. Notes: Scientific Notation Decimal Notation Example: 7.04·10-3

  11. Notes: Scientific Notation Decimal Notation Example: 7.04·10-3

  12. Notes: Scientific Notation Decimal Notation Example: 0.007.04·10-3

  13. Notes: Scientific Notation Decimal Notation Example: 0.007.04·10 -3

  14. Added so you notice the decimal point Notes: Scientific Notation Decimal Notation Example: 7.04 ·10-3=0.007,04

  15. Example Problem Calculate the force of the sun on the earth: Decimal Notation (Normal) My calculator can’t even handle this many digits!

  16. Example Problem Calculate the force of the sun on the earth: Scientific Notation Much easier! Your calculator can do this for you.

  17. Notes:

  18. Your Turn! • Convert to Scientific Notation: 55,601 • Convert to Scientific Notation: 30,800,000 • Convert to Scientific Notation: 0.034 • Convert to Scientific Notation: 0.005,000,702

  19. Your Turn! • Convert to Scientific Notation: 55,601 55,601 = 5.560,1 ·104 2. Convert to Scientific Notation: 30,800,000 30,800,000 = 3.08 ·107 3. Convert to Scientific Notation: 0.034 0.034 = 3.4 ·10-2 • Convert to Scientific Notation: 0.005,000,702 0.005,000,702 = 5.000,702 ·10-3

  20. Your Turn! 5. Convert to Decimal Notation: 6.0 ·104 6. Convert to Decimal Notation: 9.05 ·10-11 7. Convert to Decimal Notation: 8.820 ·10-1 8. Convert to Decimal Notation: 4.532,1 ·1013

  21. Your Turn! 5. Convert to Decimal Notation: 6.0 ·104 6.0 ·104 = 60,000 6. Convert to Decimal Notation: 9.05 ·10-11 9.05 ·10-11= 0.000,000,000,090,5 7. Convert to Decimal Notation: 8.820 ·10-1 8.820 ·10-1= 0.882,0 8. Convert to Decimal Notation: 4.532,1 ·1013 4.532,1 ·1013= 45,321,000,000,000

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