1 / 7

8.4 Scientific Notation

8.4 Scientific Notation. Scientific notation is used to write very large and very small numbers in powers of 10. Decimal form Power of 10 Name 1,000,000,000 10 9 one billion 1,000,000 10 6 one million 1,000 10 3 one thousand 100 10 2 one hundred 10 10 1 ten

emilie
Download Presentation

8.4 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. 8.4 Scientific Notation

  2. Scientific notation is used to write very large and very small numbers in powers of 10.

  3. Decimal formPower of 10Name 1,000,000,000 109 one billion 1,000,000 106 one million 1,000 103 one thousand 100 102 one hundred 10 101 ten 1 100 one .1 10-1 one tenth .01 10-2 one hundredth .001 10-3 one thousandth

  4. Form: c  10n where c is a number > 1 and <10 Change decimals to scientific notation: 93,000,000 .00000625 9.3  107 6.25  10-6

  5. Scientific Notation to decimal form: 2.83  105 1.5  10-7 283,000 0.00000015

  6. Multiplying Scientific notation: (3.2  106) ( 4.2  104) 3.2  4.2  106  104 13.44  1010 1.344  1011 Combine like terms Multiply numbers and add exponents Pull out another positive power of 10, so 1010 + 101 = 1011!

  7. Dividing with scientific notation: 4.5  10-7 Divide numbers 9.0  10-4 Subtract exponents .5  10-7-(-4) .5  10-3 5  10-4 .0005 Simplify. or

More Related