Hall Name ______

Date ______

Period _____

scientific notation

Objectives

·  Convert numbers between scientific notation and standard format.

·  Solve equations with your calculator using scientific notation.

Part 1—Converting numbers to and from Scientific Notation

Complete the worksheet below using your notes!

Hall Name ______

Date ______

Period _____

Write each number in scientific notation.

  1. 118000 = ______
  2. 87200 = ______
  3. 450 = ______
  4. 74171.7 = ______
  5. 0.07882 = ______
  6. 0.000002738 = ______
  7. 0.00002786 = ______
  8. 0.000000664 = ______

Write each number in standard format.

  1. 1.525 × 107 = ______
  2. 6.58157 × 106 = ______
  3. 7.141 × 105 = ______
  4. 5.256 × 103 = ______
  5. 3.443 × 10-7 = ______
  6. 5.8 × 10-3 = ______
  7. 5.1821 × 10-4 = ______
  8. 1.21 × 10-2 = ______

Hall Name ______

Date ______

Period _____

Part 2—Using Scientific Notation on your calculator

Most calculators express scientific notation as follows:

6.67 × 10-11 on the calculator is 6.67 E-11

Do the math problems below. Learn how to enter scientific notation on your calculator, and how to read answers your calculator gives you in scientific notation!

  1. (1.67262158 × 10-27) ( 6 ) = ______
  2. (6.02 × 1023) ( 15 ) = ______
  3. F = 6.67 × 10-11 ( 54 ) ( 5.97 × 1024 )

( 6.38 × 106 ) 2

F = ______

*Hint—show your work on this last problem to avoid mistakes!