1 / 21

Scientific Notation

Scientific Notation. Scientific Notation. Scientist need to express either very small numbers or very large number * the mass of a proton in a Hydrogen atom 0.000 000 000 000 000 000 000 000 001 673kg A single gram of Hydrogen has 602 000 000 000 000 000 000 000 H atoms.

boyd
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. Scientific Notation • Scientist need to express either very small numbers or very large number * the mass of a proton in a Hydrogen atom • 0.000 000 000 000 000 000 000 000 001 673kg • A single gram of Hydrogen has 602 000 000 000 000 000 000 000 H atoms

  3. Scientific Notation • To easily express the numeric value of large and small numbers we use scientific notation. • Def: an expression of numbers in the form m x 10n, where m is equal to or greater than 1 and less than 10, and n is an integer.

  4. Scientific Notation • Scientific notation has 2 parts. m x 10 n • A coefficient – a number in which one digit is placed to the left of the decimal. • An exponent – a power of 10 by which the number is multiplied.

  5. Positive exponent • A positive exponent indicates the number of times the coefficient must be multiplied by 10. • Each time the decimal place is moved one place to the left, the exponent is increased by one.

  6. Express 1234.56 in scientific notation 1234.56 x 100 123.456 x 101 12.3456 x 102 1.23456 x103

  7. Negative exponents • A negative exponent indicates the number of times a coefficient must be divided by 10. • Each time the decimal place is moved one place to the right, the exponent is decreased by one.

  8. Express 0.006 57 in scientific notation • 0.006 57 x 100 • 0.0657 x 10-1 • 0.657 x 10-2 • 6.57 x 10-3

  9. Express the following in scientific notation • 230 • 2.3x102

  10. Express the following in scientific notation • 5601 • 5.601 x103

  11. Express the following in scientific notation • 14 100 000 • 1.41 x 107

  12. Express the following in scientific notation • 56 million • 5.6 x 107

  13. Express the following in scientific notation • 0.450 13 • 4.5013 x 10-1

  14. Express the following in scientific notation • 0.089 • 8.9 x 10-2

  15. Express the following in scientific notation • 0.000 26 • 2.6 x 10-4

  16. Express the following in scientific notation • 0.000 000 698 • 6.98 x 10-7

  17. Express the following in scientific notation • 12 thousandth • 1.2 x 10-2

  18. Express the following in scientific notation • The speed of light in a vacuum is 299 792 458 m/s * 2.997 924 58 x 108 m/s

  19. Express the following in scientific notation • The mean radius of Earth is 6 378km * 6.378 x 103km

  20. Express the following in scientific notation • The density of Oxygen is 0.001 42 g/ml * 1.42 x 10-3g/ml

  21. Express the following in scientific notation • The radius of an Argon atom is 0.000 000 000 098m • 9.8 x 10-11m

More Related