1 / 18

8.5 Scientific Notation

8.5 Scientific Notation. Algebra 1 Concepts and Skills McDougal Littell Linda Stamper. Scientific notation is a shorthand way of writing numbers that are very large or very small. Scientific notation has 3 parts. 1.25. 12.5. .125. 10. X.

austin
Download Presentation

8.5 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. 8.5 Scientific Notation Algebra 1 Concepts and Skills McDougal Littell Linda Stamper

  2. Scientific notation is a shorthand way of writing numbers that are very large or very small. Scientific notation has 3 parts. 1.25 12.5 .125 10 X a number greater than or equal to 1, but less than 10 multiplication symbol – do not use multiplication dot a power of 10 The exponent tells about the size of the number. A positive exponent indicates a number greater than or equal to 1. A negative exponent indicates a number between zero and 1.

  3. Rules to Write in Standard Notation If the exponent is positive, move the decimal point as many places to the right as indicated by the exponent. positive exponent large number . 1.12 x 106 1.120000 1,120,000 If the exponent is negative, move the decimal point as many places to the left as indicated by the exponent. negative exponent small number .00043 . 0004.3 4.3 x 10-4

  4. Example 1 Write in standard notation (decimal form). 3.0259 x 108 1. Write problem. 2. Write standard form. • Practice • 6.7 x 105 • 1.38 x 10-4 • 6.12 x 10-5 • 5.4 x 104 = 670,000 = .000138 = .0000612 = 54,000

  5. Rules to Write in Scientific Notation Move the decimal point to create a number greater than or equal to 1 and less than 10. Count the decimal positions to identify the exponent. If the original number is greater than or equal to 1, the exponent is positive. If the original number is between zero and 1, the exponent is negative. use a positive exponent original number is >1 3,250,000 3.25 x 106 • • use a negative exponent original number is between 0 and 1 0.000817 8.17 x 10-4 •

  6. Example 2 Write in scientific notation. 42,000,000 1. Write problem. 2. Write scientific notation. • Practice • 0.000052 • 3,107,000 • 970,000,000 • 0.0063 = 5.2 x 10-5 = 3.107 x 106 = 9.7 x 108 = 6.3 x 10-3 What do you already know about the sign of the exponent?

  7. Operations with Scientific Notation Group the whole/decimal numbers together. Group the powers of 10 together. What property says you can do this? Simplify within each group. Write the whole/decimal number in scientific notation. Combine the powers of ten. What do you know about the size of this number?

  8. Example 3 Perform the indicated operation. Write the result in scientific notation. 1. Write problem. 2. Group the whole/decimal numbers together. Group the powers of 10 together. 3. Simplify within each group. 4. Combine the powers of ten. What do you know about the size of this number?

  9. Example 4 Perform the indicated operation. Write the result in scientific notation. 1. Write problem. 2. Group the whole/decimal numbers together. Group the powers of 10 together. 3. Simplify within each group. 4. Write the whole/decimal number in scientific notation. 5. Combine the powers of ten. What do you know about the size of this number?

  10. Example 5 Perform the indicated operation. Write the result in scientific notation. 1. Write problem. 2. Group the whole/decimal numbers together. Group the powers of 10 together. 3. Simplify within each group. 4. Write the whole/decimal number in scientific notation. 5. Combine the powers of ten. What do you know about the size of this number?

  11. Example 6 Perform the indicated operation. Write the result in scientific notation. 1. Write problem. 2. Group the whole/decimal numbers together. Group the powers of 10 together. 3. Simplify within each group. 4. Write the whole/decimal number in scientific notation. 5. Combine the powers of ten. What do you know about the size of this number?

  12. Example 7 Perform the indicated operation. Write the result in scientific notation. 1. Write problem. 2. Group the whole/decimal numbers together. Group the powers of 10 together. 3. Simplify within each group. 4. Write the whole/decimal number in scientific notation. 5. Combine the powers of ten. What do you know about the size of this number?

  13. Example 8 Perform the indicated operation. Write the result in scientific notation. 1. Write problem. 2. Group the whole/decimal numbers together. Group the powers of 10 together. 3. Simplify within each group. What is left over and where is it located?

  14. Example 9 Perform the indicated operation. Write the result in scientific notation. 1. Write problem. 2. Group the whole/decimal numbers together. Group the powers of 10 together. 3. Simplify within each group. 4. Write the whole/decimal number in scientific notation. 5. Combine the powers of ten.

  15. Example 10 Perform the indicated operation. Write the result in scientific notation. 1. Write problem. 2. Group the whole/decimal numbers together. Group the powers of 10 together. 3. Simplify within each group. 4. Write the whole/decimal number in scientific notation. 5. Combine the powers of ten. What do you know about the size of this number?

  16. Example 11 Perform the indicated operation. Write the result in scientific notation. 1. Write problem. 2. Use power of product property. 3. Write the whole/decimal number in scientific notation. 4. Combine the powers of ten. What do you know about the size of this number?

  17. Bonus Write one in scientific notation. 1

  18. Homework 8-A4 Pages 472–473 # 20–46, Page 474 Quiz 2, # 1–10.

More Related