1 / 13

The Math of Scientific Notation Explained

Learn how to multiply, divide, and take square roots using scientific notation in this educational presentation for students by the Howard High School of Technology Science Department.

alexander-martin
Télécharger la présentation

The Math of Scientific Notation Explained

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. The Math ofScientific Notation Integrated Science Dr. May

  2. Multiplying 40,000,000,000 x 200,000 = (4.0 x 1010) (2.0 x 105) 8,000,000,000,000,000 8.0 x 1015

  3. Multiplying (4.0 x 1010) (2.0 x 105) • 4.0 x 2.0 = 8.0 • 1010 x 105 = 1010 +5 = 1015 (4.0 x 1010) (2.0 x 105) = 8.0 x 1015

  4. Multiplying 40,000,000,000 x 0.000020 = (4.0 x 1010) (2.0 x 10 –5) 800,000 = 8.0 x 105

  5. Multiplying (4.0 x 1010) (2.0 x 10 –5) • 4.0 x 2.0 = 8.0 • 1010 x 10 –5 = 1010 +(–5) = 1010– 5 = 10 5 (4.0 x 1010) (2.0 x 10 –5) = 8.0 x 105

  6. Multiplying 0.00000000040 x 0.000020 = (4.0 x 10 –10) (2.0 x 10 –5) 0.0000000000000080 = 8.0 x 10 –15

  7. Multiplying (4.0 x 10 –10) (2.0 x 10 –5) • 4.0 x 2.0 = 8.0 • 10–10 x 10–5 = 10–10+(–5) = 10–10 –5 = 10–15 (4.0 x 10 –10) (2.0 x 10 –5) = 8.0 x 10 –15

  8. Dividing 4.0 x 1010 2.0 x 105 • 4.0  2.0 = 2.0 • 1010  105 = 1010 – 5 = 105 4.0 x 1010= 2.0 x 105 2.0 x 105

  9. Dividing 4.0 x 1010 2.0 x 10 –5 • 4.0  2.0 = 2.0 • 1010  10 –5 = 1010 – (– 5) = 10 10+5 = 1015 4.0 x 1010= 2.0 x 1015 2.0 x 10 –5

  10. Dividing 4.0 x 10 –10 2.0 x 10 –5 • 4.0  2.0 = 2.0 • 10–10  10–5 = 10–10 – (– 5) = 10–10 + 5 10 –5 4.0 x 10 –10= 2.0 x 10 –5 2.0 x 10 –5

  11. Squaring • (3.0 x 108)2 • (3.0)2 = 9.0 • (108)2 = 102x8 = 1016 (3.0 x 108)2 = 9.0 x 1016

  12. Square Roots ____________ •  9.0 x 1016 _____ _______ •  9.0 = 3.0  1016 = 10 16 2 = 108 _____________  9.0 x 1016 = 3.0 x 10 8

  13. The End • This presentation was created for the benefit of our students by the Science Department at Howard High School of Technology • Please send suggestions and comments to rmay@nccvt.k12.de.us

More Related