Multiplying Monomials


Before you begin reading this lesson on Multiplying Monomials, please make sure that you've read the lesson on laws of exponents and monomials.

These two lessons will definitely be needed in order to understand how to multiply monomials!



When you multiply monomials, you will need to perform two steps:

  • Multiply the coefficients (constants)

  • Multiply the variables.

    • Let's look at a few examples.



    Each line of these examples shows a different step. I broke it down step by step for you to see the exact process. You will be able to do alot of this work mentally, which I will show you later on. I wanted you to understand each step, that's why these explanations are so long!

    Example 1

    multiplying monomials



    Example 2

    multiplying monomials example


    One more example, but this time I'm not going to show each individual step. As you master this skill, this is the way in which you will multiply monomials! It's actually pretty quick!


    Example 3

    multiplying monomials



    Are you ready to practice a few problems on your own?



    monomials practice problems


    Practice Problems

    multiplying monomials practice




    Answer Key

    The answer key is very colorful. Each variable or constant is a different color so that you can see which terms were multiplied. Only terms that are the same color were multiplied together!

    multiplying monomials solutions


    Great Job! Now you are ready to start dividing monomials!

    Exponents & Monomials Unit


  • A review of Exponents

  • Laws of Exponents

  • What is a Monomial?

  • Multiplying Monomials   You Are Here!

  • Dividing Monomials    Your Next Lesson!

  • Simplifying Monomials

  • Negative and Zero Exponents

  • An Introduction to Scientific Notation.

  • Multiplying and Dividing with Scientific Notation



    		•

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