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Using Scientific Notation When Multiplying and Dividing Monomials


In order to understand this lesson, you will need to have a basic understanding of scientific notation.

Throughout your studies, you may be asked to multiply or divide numerals that are written in scientific notation. You will follow the same process that you learned when multiplying and dividing monomials; however, the only difference is that you will need to make sure that your final answer is written in scientific notation.

Let's look at a few examples.


Multiplying Monomials Written in Scientific Notation



Example 1

scientific notation


Example 2

scientific notation practice


Now let's look at a couple of examples that require division.



Dividing Monomials Written in Scientific Notation



Example 3

scientific notation and division


Example 4

scientific notation and division problems


It can be tricky trying to figure out the exponent if the final answer is not in scientific notation format. If you have trouble thinking it through, write the intial answer in expanded form and then translate it back into scientific notation. Take a look at this final example.


Example 5

scientific notation

Obviously this is a much longer process, so you only need to do this if you are really confused about how to convert the final answer. Once you do this a few times, you'll probably be able to convert to the shorter method - it will suddenly make sense!



Ok... are you ready to complete a few practice problems? Here they are....



Practice Problems

scientific notation practice problems






Answer Key

Problem 1

scientific notation answers


Problem 2

scientific notation answer key


Problem 3

scientific notation answer key

Great Job! You've completed the unit on Exponents and Monomials!


You Might Also Like These Exponent Lessons:


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