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.

Example 1: Multiplying Monomials Written in Scientific Notation


Scientific notation and multiplying monomials.


Let's take a look at another example with negative exponents.


Example 2: Negative Exponents


Multiplying monomials and scientific notation with negative exponents


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


Example 3: Scientific Notation with Division of Monomials


Scientific notation with division of monomials.


And.... one more example.  Pay special attention to how we write the answer in scientific notation at the end of the problem.


Example 4: Writing the Answer in Scientific Notation


Scientific notation and division of monomials


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 initial answer in expanded form and then translate it back into scientific notation. Take a look at this final example.


Example 5: Having Trouble With the Final Answer?


If you are having trouble with scientific notation, try this.

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!


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