1 / 12

5.4 Scientific Notation

5.4 Scientific Notation. Goals: To write a number that is in standard notation in scientific notation. Scientific Notation a shortcut for very large/small numbers. The distance from earth to the north star is 10,000,000,000,000,000,000 meters. Fewer errors if we write as 1.0 x 10 19 ?.

orrick
Download Presentation

5.4 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. 5.4 Scientific Notation • Goals: To write a number that is in standard notation in scientific notation

  2. Scientific Notationa shortcut for very large/small numbers • The distance from earth to the north star is 10,000,000,000,000,000,000 meters. • Fewer errors if we write as 1.0 x 1019 ?

  3. Given a # in Standard Notation write it in Scientific Notation • Move decimal until the # is 1 ≤X <10 • Then mult. that # by 10 to a power • The power will be the # of times you moved the decimal (if u moved to the rt it’s a neg. exp. If u moved to the lft it is a positive exp.)

  4. In short…. • Decimals ( between 0 and 1) have negative exponents on the base of 10 • Numbers that are larger than 1 have positive exponents on the base of 10

  5. Must be at least 1.0 and no more than 9.9999… Scientific NotationWrite an equivalent expression using scientific notation: 3,200 3.2  103

  6. Must be at least 1.0 and no more than 9.9999… Scientific NotationWrite an equivalent expression using scientific notation: 3.07  10-2 0.0307

  7. 5.4 Scientific Notation • Goals: To write numbers that are in scientific notation in standard notation

  8. Change from scientific notation to standard form:move the decimal the same amt of times as the exp. (if the exp + move to the right and if the exp is – move to the left) 1.25 x 103 1250

  9. Change from scientific notation to standard form: 7.0 x 105 700,000

  10. Change from scientific notation to standard form: 4.8 x 10-3 0.0048

  11. Change from scientific notation to standard form: 1.8 x 10-4 0.00018

  12. Homework Page 219 (1-24) all

More Related