1 / 15

Scientific Notation

Scientific Notation. The Long Way. 4700 = 470 x 10 = 47 x 10 x 10 = 4.7 x 10 x 10 x 10. 4.7 x 10 x 10 x 10 = 4.7 x (10 3 ). Definitions. 4.7 x (10 3 ) is called the standard form of 4700. It is in scientific notation if the number at the start (4.7) lies between 1 and 10.

ttinsley
Télécharger la présentation

Scientific Notation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Scientific Notation

  2. The Long Way 4700 = 470 x 10 = 47 x 10 x 10 = 4.7 x 10 x 10 x 10 4.7 x 10 x 10 x 10 = 4.7 x (103)

  3. Definitions 4.7 x (103) is called the standard form of 4700. It is in scientific notation if the number at the start (4.7) lies between 1 and 10

  4. Examples Write the following in scientific notation. • 83000 = 8300 x 10 = 830 x 10 x 10 = 83 x 10 x 10 x 10 = 8.3 x 10x 10 x 10 x 10 = 8.3 x (104) 8.3 lies bewteen 1 and 10

  5. Examples Write the following in scientific notation. 2. 631000 = 63100 x 10 = 6310 x 10 x 10 = 631 x 10 x 10 x 10 = 63.1 x 10 x 10 x 10 x 10 = 6.31 x 10 x 10 x 10 x 10 x 10 = 6.31 x (105) 6.31 lies bewteen 1 and 10

  6. The Short Way Let’s look again at the examples • 83000 = 8300 x 10 = 830 x 10 x 10 = 83 x 10 x 10 x 10 = 8.3 x 10x 10 x 10 x 10 = 8.3 x (104) Changing 83000 to 8.3 meant moving the point 4 places

  7. The Short Way Let’s look again at the examples • 631000 = 63100 x 10 = 6310 x 10 x 10 = 631 x 10 x 10 x 10 = 63.1 x 10x 10 x 10 x 10 = 6.31 x 10 x 10 x 10 x 10 x 10 = 6.31 x (105) Changing 631000 to 6.31 meant moving the point 5 places

  8. Examples Write in scientific notation. • 29000 • 3300 • 987000 • 50000 • 701000

  9. Examples Write in scientific notation. • 29000 = 2.9 x 104 • 3300 = 3.3 x 103 • 987000 = 9.87 x 105 • 50000 = 5 x 104 • 701000 = 7.01 x 105

  10. Example Convert from scientific notation to number form • 8.3 x (104) = 8.3 x 10 x 10 x 10 x 10 = 83 x 10 x 10 x 10 = 830 x 10 x 10 = 8300 x 10 = 83000

  11. Example Convert from scientific notation to number form • 6.31 x (105) = 6.31 x 10 x 10 x 10 x 10 x 10 = 63.1 x 10 x 10 x 10 x 10 = 631 x 10 x 10 x 10 = 6310 x 10 x 10 = 63100 x 10 = 631000

  12. The Short Way Let’s look again at the examples 1. 8.3 x (104) = 8.3 x 10 x 10 x 10 x 10 = 83 x 10 x 10 x 10 = 830 x 10 x 10 = 8300 x 10 = 83000 Changing 8.3 to 83000 meant moving the point 4 places to the right

  13. The Short Way 1. 6.31 x (105) = 6.31 x 10 x 10 x 10 x 10 x 10 = 63.1 x 10 x 10 x 10 x 10 = 631 x 10 x 10 x 10 = 6310 x 10 x 10 = 63100 x 10 = 631000 Changing 631000 to 6.31 meant moving the point 5 places to the right

  14. Examples Write in number form. • 7.4 x 103 = • 1.3 x 106 = • 5.51 x 104 = • 3 x 101 = • 4.27 x 107 =

  15. Examples Write in number form. • 7.4 x 103 = 7400 • 1.3 x 106 = 1300000 • 5.51 x 104 = 55100 • 3 x 101 = 30 • 4.27 x 107 = 42700000

More Related