1 / 13

Exponents and Scientific Notation

Exponents and Scientific Notation. Method of writing very large or very small numbers to make mathematical manipulations easier Numbers are expressed as some quantity between 1 & 10 multiplied by 10 raised to some exponent N = A x 10. n.

yoland
Download Presentation

Exponents and 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. Exponents and Scientific Notation • Method of writing very large or very small numbers to make mathematical manipulations easier • Numbers are expressed as some quantity between 1 & 10 multiplied by 10 raised to some exponent N = A x 10 n

  2. Every non-zero number can be written in scientific notation. • For example

  3. More examples The speed of light it approx. 30,000,000,000 cm/s in scientific notation we would move the decimal 10 places to the left and would express the number as 3 x 1010 cm/s (only sig figs are expressed)

  4. The diameter of an atom = 0.0000000001m In scientific notation we would move the decimal place 10 places to the right and the measurement would be expressed as 1 x 10-10 m

  5. Parts of a number in scientific notation A x 10n A = coefficient between 1 & 9, can be positive or negative (must be ≥ 1 and < 10) 10 = called the base n = integer, positive, negative or zero

  6. Converting to Scientific Notation To find “A” - move decimal point to the left until one digit remains to the left of the decimal point To find “n” count how many places you moved the decimal “n” is positive if – • you moved the decimal to the left • if the number in decimal form was greater than 10 “n” is negative if – • you moved the decimal to the right • if the number in decimal form was less than 1 A x 10n

  7. Converting to Scientific Notation For numbers less than 1 • 1 . To find “A” - move decimal point to the right until one digit remains to the right of the decimal point • To find “n” count how many places you moved the decimal • “n” is negative if – • you moved the decimal to the right • if the number in decimal form was less than 1

  8. For Example: 456,000 = 4.56 x 10 5 0.0000456 = 4.56 x 10 -5 Only sig figs are included !!

  9. Numbers 1 – 9.999999 No conversion is necessary Written as A x 100 (100 = 1) 3.45 to scientific notation 3.45 = 3.45 x 100

  10. Convert from Decimal form to Scientific Notation (a) 93,000,000 (b) .00005144 (c) -33,452.8

  11. Convert from Scientific Notation to Decimal Form

  12. Watch the zeros! 0.000068120 m (5 sig figs) = 6.8120 x 10-5 0.006060 g (4 sig figs) = 6.060 x 10-3 52.0030 L (6 sig figs) = 5.20030 x 101 676.0 cm (4 sig figs) = 6.760 x 102

  13. Double check!! Correct way to write: 5.533 x 10 5 Incorrect way to write: 55.33 x 10 5 Do in class exercises

More Related