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Algebra 6 Point 5

Date post: 05-Dec-2014
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8
6.5 Scientific Notation Objective: To convert ordinary numbers to scientific notation and vice versa Frameworks: 8.N.4
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  • 1. 6.5 Scientific Notation
    Objective:
    • To convert ordinary numbers to scientific notation and vice versa
    Frameworks: 8.N.4
  • 2. What is scientific notation?
    a compact way of writing very large and very small numbers
    useful in seeing the magnitude of a number at a glance
    useful in astronomy, chemistry, and other sciences
  • 3. Scientific Notation
    A number is written in scientific notation when it is in the form
    a x 10n
    where 1 a < 10 and n is an integer.
  • 4.
  • 5. Try some:
    8654.32
    8.65432 x 103
    .00346
    3.46 x 10-3
    .00002013
    2.013 x 10-5
    54179.82
    5.417982 x 104
  • 6. And in reverse . . . Express each number in ordinary notation:
    8.0032 x 104
    80,032
    3.76 x 10-6
    0.00000376
    4.602 x 105
    460,200
    6.415 x 10-3
    0.006415
  • 7. Using a scientific calculator
    Look for a key that says EE or EXP
    To multiply: (5.2 x 102)(8.6 x 104)
    Type: 5.2 EE 2 x 8.6 EE 4
    Get: 4.472 07 (which is 4.472 x 107)
  • 8. Turn to page 215
    Do 1-8

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