Multiplying Monomials

There are only three basic steps to be taken when multiplying monomials.  However it is assumed that your child is comfortable with the basic structure of monomials, and that they have already mastered the skill of adding and subtracting monomials.

So before continuing be sure they are familiar with the language that will be used here.  Your child must also be both familiar and comfortable with both the commutative and associative properties of arithmetic.

The Steps involved in Multiplying Monomials

  1. Apply your knowledge of commutative and associative properties of arithmetic.
  2. Multiply Coefficients
  3. Multiply variables by adding their exponents.

Problems with Exponents?

Do NOT continue unless your child fully understands how to deal with Exponential Numbers! Your kid will get completely lost.

Below I work through some examples of multiplying monomials.  Follow along, ensuring you fully understand what happens from one step to the next.

Worked Examples - Multiplying Monomials

Example 1
  1. Apply commutative and associative properties. Please note I have changed the color, but used the X symbol to identify the multiplication operation.
  2. Multiply Coefficients
  3. Multiply variables by adding Exponents.

Example 2
  1. Apply commutative and associative properties. Please note I have changed the color, but used the customary '.' symbol to identify the multiplication operation.
  2.  Multiply Coefficients
  3. Multiply variables by adding Exponents

As you can see, when it comes to multiplying monomials it is simply a case of applying the laws of arithmetic you already know and applying the laws of exponents.  

If there is a weakness in either of these areas, algebra is just going to get more confusing, frustrating and HARD!  Make sure the basics are completely understood!

If you need to brush up on any of the prerequisites for this section, the best place to start is at our Basic Algebra section.

Now that you know the steps involved in multiplying monomials, check out how to divide monomials.

Printable Math Worksheets has a lot to offer.  Be sure to check it all out.

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