Skip Navigation Links
   
Dividing Numbers in Scientific Notation
To enroll in any of our courses, click here
 
   
Steps to divide numbers in scientific notation are as follows:
1) Divide the coefficients (the first part of the numbers).
2) Subtract the powers of ten.
3) Adjust the result if necessary so that it's in scientific notation.

Example 1: Divide 2.1 x 107, by 5.6 x 103

Divide 2.1 x 107, by 5.6 x 103
,step 1-2
Step 3. 0.375 x 104 is not in scientific notation because 0.375 is not between 1 and 10. So adjust the number into scientific notation.

.375 x 104 = 3.75 x 103
arrow
final answer
arrow
Move decimal once
to right to get the
number between 1
and 10.
   right-arrow
Moving once to right
increases .375 by one
power of 10, therefore...
   right-arrow
Compensate by
decreasing the
power of 10 by

Example 2: Divide 4.1296 x 10-13 by 7.12 x 103

Divide 4.1296 x 10-13 by 7.12 x 103, step 1-2
Step 3. 0.58 x 10-16 is not in scientific notation because 0.58 is not between 1 and 10. So adjust the number into scientific notation.
.58 x 10-16 = 5.8 x 10-17
arrow
final answer
arrow
Move decimal once
to right to get the
number between 1
and 10.
   right-arrow
Moving once to right
increases .58 by one
power of 10, therefore...
   right-arrow
..we compensate by
decreasing the
power of 10 by one
Remember that one less than
-16 is -17
(move left on the number line).
up-arrow
People who saw this lesson also found the following lessons useful:
Multiplying Numbers in Scientific Notation
Addition and Subtraction of Numbers in Scientific Notation
 
   
As many of you know, Winpossible's online courses use a unique teaching method where an instructor explains the concepts in any given area to you in his/her own voice and handwriting, just like you see your teacher explain things to you on a blackboard in your classroom. All our courses include teacher's instruction, practice questions as well as end-of-lesson quizzes for practice. You can enroll in any of our online courses by clicking here.

The format of Winpossible's online courses is also very suitable for teachers who are using an interactive whiteboard such as Smartboard on Promethean in their classrooms, because the course lessons can be easily displayed on such interactive whiteboards. Volume pricing is available for schools interested in our online courses. For more information, please contact us at educators@winpossible.com.

 
       
     
 Copyright © Winpossible, 2010 - 2011
Best viewed in 1024x768 & IE 5.0 or later version