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Scientific notation2

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Transcript

  • 1. Scientific Notation
  • 2. Scientific Notation  Allows us to write very big and very small numbers
  • 3. Scientific Notation  Every number written in scientific notation has two basic parts.  The first part is always a decimal number between 1.00 and 9.99…  The second part is 10 times some exponent
  • 4. Scientific Notation 3.42 x 106 or 8.005 x 10-3  Notice that in each of these, the first part is a decimal number between 1.00 and 9.99…
  • 5. Scientific Notation 3.42 x 106 means 3.42 x (10 x 10 x 10 x 10 x 10 x 10) or 3420000
  • 6. Scientific Notation 8.005 x 10-3 means 8.005 x (0.1 x 0.1 x 0.1) or 0.008005
  • 7. Practice Problems!!! Scientific Notation: True or False 1)3.45 x 103 2)42.6 x 10-6 3)8.32 x 42
  • 8. Scientific Notation  the exponent on the 10 tells you which direction to move the decimal and how many times it should be moved.  POSITIVE EXPONENT means move RIGHT  NEGATIVE EXPONENT means move LEFT
  • 9. Scientific Notation  Can I change standard notation to scientific notation?  Let's say you wanted to convert the following number to scientific notation: 0.00000782
  • 10. Scientific Notation  The first part has to be between 1.00 and 9.99...  Move your decimal until you have a number that qualifies 7.82
  • 11. Scientific Notation  Remember that the exponent tells you the number of spaces that you moved it. How many spaces did we move it? Did we move it left or right? 7.82 X 106 or 7.82 X 10-6
  • 12. Scientific Notation  A standard notation number LOWER than 1 means NEGATIVE exponent  A standard notation number GREATER than 1 means POSITIVE exponent
  • 13. Scientific Notation 1) 3,400 2) 0.000023 3) 101,000 4) 0.010
  • 14. Scientific Notation 5) 45.01 6) 1,000,000 7) 0.00671 8) 4.50