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6.5 Scientific Notation Objective:   ,[object Object],Frameworks:   8.N.4
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
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.
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
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
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)
Turn to page 215 Do 1-8

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Algebra 6 Point 5

  • 1.
  • 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