1 / 16

Scientific Notation

Scientific Notation. What is scientific Notation?. Scientific notation is an efficient way of expressing really big numbers or really small numbers. It is most often used in “ scientific ” calculations where the analysis must be very precise. Why use scientific notation?.

elu
Download Presentation

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. What is scientific Notation? • Scientific notation is an efficient way of expressing really big numbers or really small numbers. • It is most often used in “scientific” calculations where the analysis must be very precise.

  3. Why use scientific notation? • For very large and very small numbers, these numbers can be converted into scientific notation to express them in a more concise form. • Numbers expressed in scientific notation can be used in a computation with far greater ease.

  4. Scientific notation consists of two parts: • A number between 1 and 10 • A power of 10 N x 10x Are the following in scientific notation?

  5. Changing standard form to scientific notation.

  6. To change standard form to scientific notation… • Identify where the decimal point is on the original number • Move the decimal point so that the original number becomes a number between 1 and 10. • Count the number of decimal places the decimal point has “moved” from the original number. This will be the exponent on the 10.

  7. Continued… • If the original number was less than 1, then the exponent will be negative. • If the original number was greater than 1, then the exponent will be positive.

  8. Example 1 • Given: 289,800,000 • Use: 2.898 • Decimal place moved 8 places • Exponent is 8 • Exponent is positive because original number is greater than 1 • Answer: 2.898 x 108

  9. Example 2 • Given: 0.000567 • Use: 5.67 • Decimal place moved 4 places • Exponent is 4 • Original number less than 1 so … • Exponent is negative • Answer: 5.67 x 10-4

  10. Changing scientific notation to standard form.

  11. To change scientific notation to standard form… • Simply move the decimal point to the right for positive exponent of 10. • Move the decimal point to the left for negative exponent 10. • Use zeros to fill in places.

  12. Example 3 • Given: 5.093 x 106 • Exponent is positive 6 , move 6 places to make number bigger (to the right). • 1 place = 50.93 2 places = 509.3 • 3 places = 5093. 4 places = 50930. • 5 places = 509300. 6 places = 5093000 • Answer: 5,093,000 • Decimal moved 6 places to the right

  13. Example 4 • Given: 1.976 x 10-4 • Exponent is negative 4, so the number is less than 1. • move decimal 4 places to the left to make number less than 1. • Answer: 0.0001976(moved 4 places to the left)

  14. Are These in Scientific Notation?? • 23.98393 x 109 • 4.19385930 x 104 • 98920.188438 x 10-3 • 2.22221 x 100 • 9.002 x 1002 • 39.992934 x 100 • 0.1103827493920920284757 x 102 • 1.00 x 1056 • 2.39403 x 10-23 • 9.00078 x 10-1

  15. Even More Practice • Below is a list of links to games and activities all having to do with scientific notation. • http://www.aaamath.com/dec71i-dec2sci.html • http://janus.astro.umd.edu/cgi-bin/astro/scinote.pl • http://www.sciencejoywagon.com/physicszone/lesson/00genral/dectosci.htm

  16. Now take the quiz to test your scientific notation skills! • Click on the link below to take the quiz and then use the answer key for the correct answers. • Quiz • Answers

More Related