1 / 11

Understanding Scientific Notation for Calculations

Learn how to write numbers in standard and scientific notation, perform calculations, and convert between the two formats. Discover the concept of scientific notation and practice operations to enhance your understanding.

rheah
Download Presentation

Understanding Scientific Notation for Calculations

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. Objectives • Write numbers in standard and scientific notation. • Perform calculations with numbers in scientific notation.

  3. What is Scientific Notation? • A number expressed in the form: where Example: Neptune is 2,800,000,000 miles from the sun.

  4. How do you write a number in scientific notation? Ex: 0.000063 You move the decimal point to the right until the number to the left of it is between 1 and 9. 0.000063 Notice that the exponent is negative!

  5. Write in Scientific Notation 234,000,000 1. 23.4 x 107 2. 2.34 x 108 3. 234 x 106 4. 2.34 x 10-8

  6. How to change numbers in scientific notation to standard notation. • First, decide which way you are going to be moving your decimal point. Negative Exponent – move to the left Positive Exponent – move to the right Move the decimal point the number of the exponent. 63,500 Ex: 6.35 x 104 = 1.82 x 10-5 = 0.0000182

  7. How do you write a number in scientific notation? . Ex: 3,000,000,000,000 Where is the decimal point? You move the decimal point to the left until the number in front of it is between 1 and 9. . . 3,000,000,000,000

  8. Write in standard notation • 9.608 x 109 • 3.5 x 10-4 9,608,000,000 0.00035 0.083 5,070,000

  9. Operations with scientific notation. Adding: • You just add the first numbers (4 x 104) + (9 x 104) = (4 + 9) x 104 = 13 x 104 Subtracting: • You just subtract the first numbers (8 x 104) - (2 x 104) = (8 - 2) x 104 = 6 x 104 • 8.3 x 10-2 • 5.07 x 106

  10. Operations with scientific notation. Multiplying: • Multiply the first numbers and then the second numbers. (7 x 102)(4 x 105) = (7  4)(102  105) = 28 x 107 • Write 28 in scientific notation. • (2.8 x 101) x 107 • Simplify. • 2.8 x 108

  11. Operations with scientific notation. Dividing: • Divide the first numbers and then the second numbers. Simplify the exponents.

More Related