1 / 12

Scientific Notation

Scientific Notation. The basics and some math. Take out your calculator. Write these calculations and the answer in your notes: 12,922,341 / 0.011 435 7 = 1,130,000,000 0.05 / 20,111 = 0.000 002 486.

lois
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 The basics and some math.

  2. Take out your calculator. • Write these calculations and the answer in your notes: • 12,922,341 / 0.011 435 7 = • 1,130,000,000 • 0.05 / 20,111 = • 0.000 002 486 Re-writing numbers in SCIENTIFIC NOTATION makes it so we don’t have to deal with all of these “extra” zeros.

  3. What is it? Scientific Notation(Exponential Notation) • Scientific Notation is used to express any number as: • a number between 1 and 10 • (called a coefficient) • multiplied by 10 • (the “base” as in “base 10”) • raised to a power • (indicated by an exponent) coefficient = 9.13 • 9.13x108 • 9.13E8 exponent = 8

  4. First, let’s review exponents Count the “0”s • 10 = 10 (x 1) = 101 1 • 100 = 10 x 10 = 102 2 • 1,000 = 10 x 10 x 10 = 103 3 • 10,000= 10 x 10 x 10 x 10 = 104 4 • The number in the exponent tells you how many times ten is multiplied by itself.

  5. Reviewing Exponents • Any number raised to the 0 power – or has a 0 in the exponent = 1. • So, 100 = 1

  6. What does this really mean? Scientific NotationBase 10 cont. • 109 would equal a 1 followed by how many zeros? • 9  1,000,000,000 • What would 1.13 x 109 be if written in “long form?” • Move the decimal place to the right 9 places. • 1,130,000,000

  7. When you have a positive exponent, move your decimal to the right the same number of places that are in the exponent.

  8. Let’s rewrite the first number we calculated in scientific notation. • 12,922,341 / 0.011 435 7 = • 1,130,000,000 • 1.13 x 109

  9. What does this really mean? Scientific NotationBase 10 – negative exponents • If the exponent is negative, think division. • 10-1 = 1/(10) = 0.1 • 10-2 = 1/(10 x 10) =1/(100) = 0.01 • 10-3 = 1/(10 x 10 x 10) = 1/(1,000) = 0.001 • 10-4 = 1/(10 x 10 x 10 x 10)= 1/(10,000) = 0.0001

  10. Move the decimal point to the left if you have a negative exponent.

  11. Let’s rewrite our second number in scientific notation. • 0.05 / 20,111 = 0.000 002 486 • Coefficient = 2.486 • The decimal would have to be moved to the left 6 places, so our exponent will be -6. • 2.486 x 10-6

  12. Now give it a try with a partner. You have 5 minutes.

More Related