1 / 11

Scientific Notation

Scientific Notation. Really large,. and really small numbers. Why?. Chemistry often deals with very large and very small numbers. There are 602,000,000,000,000,000,000,000 molecules of water in 18 mL one electron has a mass of 0.000000000000000000000000000911 g

Jims
Télécharger la présentation

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 Really large, and really small numbers

  2. Why? • Chemistry often deals with very large and very small numbers. • There are 602,000,000,000,000,000,000,000 molecules of water in 18 mL • one electron has a mass of 0.000000000000000000000000000911 g • We need a shorter way of writing these numbers

  3. Standard Exponential Form • another name for scientific notation. • consists of two parts • a number between 1 and 10 • multiplied by 10, raised to some power • 602,000,000,000,000,000,000,000 = 6.02 x 1023 • 0.000000000000000000000000000911 g = 9.11 x 10-28

  4. Putting a number into scientific notation • determine how many times you have to move the decimal place to make it into a number between 1 and 10 • 3240000 • use that as the power of 10 • 3.24 x 106

  5. What is the number is smaller? • if you make the number bigger by moving the decimal point, make the exponent smaller and visa-versa • 0.00045 • 4.5 x 10-4

  6. Getting back to original number • Move the decimal point the same number of times as the exponent • If the exponent gets bigger the number gets smaller • Change 2.99 x 108 • Change 4.87 x 10-3

  7. Using your calculator • EE and EXP button stand for x 10 to the • 4.5 x 10-4 • push 4.5 • push either EXP or EE • push 4 +/- or -4 • see what your display says.

  8. Practice these problems • (4.8 x 10 5 ) x (6.7 x 10-6) • Remember when you multiply you add exponents • 106x 10-4 • When you divide you subtract exponents. • (6.8 x 10 -6) • (3.2 x 10 4)

  9. Adding and Subtracting • You can’t add or subtract numbers until they are to the same power of ten. • Your calculator does this automatically. • (4.8 x 10 5 ) + (6.7 x 106) • (6.8 x 10 -6) - (3.2 x 10-5) • Remember- standard form starts with a number between 1 and 10 to start.

  10. PEMDAS

  11. PEMDAS

More Related