Scientific
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Scientific

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Scientific Presentation Transcript

  • 1. Scientific Notation
  • 2. What is scientific Notation?
    • Scientific notation is a way of expressing really big numbers or really small numbers.
    • It is most often used in “scientific” calculations where the analysis must be very precise.
  • 3. Why use scientific notation?
    • For very large and very small numbers, these numbers can be converted into scientific notation to express them in a more concise form.
    • Numbers expressed in scientific notation can be used in a computation with far greater ease.
  • 4. Scientific notation consists of two parts:
    • A number between 1 and 10
    • A power of 10
    • N x 10 x
    • Are the following in scientific notation?
  • 5. Changing standard form to scientific notation.
  • 6. To change standard form to scientific notation…
    • Place the decimal point so that there is one non-zero digit to the left of the decimal point.
    • Count the number of decimal places the decimal point has “moved” from the original number. This will be the exponent on the 10.
  • 7. Continued…
    • If the original number was less than 1, then the exponent is negative. If the original number was greater than 1, then the exponent is positive.
  • 8. Example 1
    • Given: 289,800,000
    • Use: 2.898 (moved 8 places)
    • Answer: 2.898 x 10 8
  • 9. Practice
    • Put these standard form numbers in scientific notation.
    • 4,000,000
    • 130,000
  • 10. Try converting these numbers into scientific form people at your table.
    • 10,000,000
    • 76,000
  • 11. Changing scientific notation to standard form.
  • 12. To change scientific notation to standard form…
    • Simply move the decimal point to the right for positive exponent 10.
    • Move the decimal point to the left for negative exponent 10.
    • (Use zeros to fill in places.)
  • 13. Example 3
    • Given: 5.093 x 10 6
    • Answer: 5,093,000 (moved 6 places to the right)
  • 14. Practice
    • 4.5 x 10 4
    • 5 x 10 6