1. Dividing Monomials
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Thomas M. Kenyon
6455 Habgood Road
Black Creek, NY 14714
© 2007 Thomas M. Kenyon
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2. Review: Simplifying fractions
Example:
Another way to look at it: Completely factor and cancel like FACTORS
Cancel common FACTORS
Note: when “everything” cancels, you’re not left with a zero, you’re left with 1.
This presentation may be used by k-12 public education teachers.
Contact me for permission to use this presentation in whole or in part
for any other purpose. Feel free to send suggestions or to comment
on any errors/omissions. or
Thomas M. Kenyon
6455 Habgood Road
Black Creek, NY 14714
It’s usually not necessary to write the 1.
Why 1?
Because

3. Dividing Monomials
Example:
Rule: When you have the same base, subtract exponents
Cancel common FACTORS, always in pairs.
This presentation may be used by k-12 public education teachers.
Contact me for permission to use this presentation in whole or in part
for any other purpose. Feel free to send suggestions or to comment
on any errors/omissions. or
Thomas M. Kenyon
6455 Habgood Road
Black Creek, NY 14714

4. Simplify the coefficients the same way you would a normal fraction.
Example
Simplify the coefficients the same way you would a normal fraction.
In this case, both the numerator and denominator are divisible by 6.
The answer may also be written in this form:
Or, simply use the fraction capability of your calculator and let the calculator do the work.
This presentation may be used by k-12 public education teachers.
Contact me for permission to use this presentation in whole or in part
for any other purpose. Feel free to send suggestions or to comment
on any errors/omissions. or
Thomas M. Kenyon
6455 Habgood Road
Black Creek, NY 14714
Remember, SUBTRACT EXPONENTS (do not divide the exponents)
(The variables with the exponents being subtracted need to be the same.)

5. Check on your calculator…
Examples:
Check on your calculator…
^ 5 enter 1024 ^
2 ^ 10 enter 1024
This presentation may be used by k-12 public education teachers.
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for any other purpose. Feel free to send suggestions or to comment
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Thomas M. Kenyon
6455 Habgood Road
Black Creek, NY 14714
Note: your calculator may have a button instead.

6. Dividing a polynomial by a monomial
Example:
Divide each term in the numerator separately by the monomial in the denominator:
Be careful when the exponents are the same!
They cancel out.
This presentation may be used by k-12 public education teachers.
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for any other purpose. Feel free to send suggestions or to comment
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Thomas M. Kenyon
6455 Habgood Road
Black Creek, NY 14714

7. Your answer will ALWAYS have the SAME number of terms
as there were in the numerator.
example:
Answer will have 4 terms.
This presentation may be used by k-12 public education teachers.
Contact me for permission to use this presentation in whole or in part
for any other purpose. Feel free to send suggestions or to comment
on any errors/omissions. or
Thomas M. Kenyon
6455 Habgood Road
Black Creek, NY 14714
This happens often on “trick” questions on the state exam!

8. This presentation may be used by k-12 public education teachers.
Contact me for permission to use this presentation in whole or in part
for any other purpose. Feel free to send suggestions or to comment
on any errors/omissions. or
Thomas M. Kenyon
6455 Habgood Road
Black Creek, NY 14714
This presentation may be used by k-12 public education teachers.
Contact me for permission to use this presentation in whole or in part
for any other purpose. Feel free to send suggestions or to comment
on any errors/omissions. or
Thomas M. Kenyon
6455 Habgood Road
Black Creek, NY 14714