Dividing Monomials in Basic Algebra

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Linking Dividing Monomials to Basic Arithmetic

Monomial1

Working with division in Arithmetic is a lot like division of monomials in Algebra. In arithmetic, you use your knowledge of factors to help you. Look at this example of division using factors. When you review the strategy you use in Arithmetic, algebra will make more sense. Simply show the factors, cancel out the factors (which is division) and you will be left with your solution. Follow the steps through to fully understand the sequence involved to divide monomials.

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Dividing Monomials

Dividing Monomials

Here's a basic monomial, notice that when you divide the monomial, you're dividing the numerical coefficients (the 24 and the 8) and you're dividing the literal coefficients (a and b).

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Division of a Monomial Involving Exponents

Dividing Monomials
Once again you divide the numerical and literal coefficients and you'll also divide the like variable factors by subtracting their exponents (5-2).
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Division of Monomials

Dividing monomials
Divide the numerical and literal coefficients, divide the like variable factors by subtracting the exponents and you're done!
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Last Example

Dividing monomials

Divide the numerical and literal coefficients, divide the like variable factors by subtracting the exponents and you're done! You're now ready to try a few basic questions on your own. See the Algebra worksheets to the right of this example.

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Your Citation
Russell, Deb. "Dividing Monomials in Basic Algebra." ThoughtCo, Sep. 24, 2017, thoughtco.com/dividing-monomials-basic-algebra-2312496. Russell, Deb. (2017, September 24). Dividing Monomials in Basic Algebra. Retrieved from https://www.thoughtco.com/dividing-monomials-basic-algebra-2312496 Russell, Deb. "Dividing Monomials in Basic Algebra." ThoughtCo. https://www.thoughtco.com/dividing-monomials-basic-algebra-2312496 (accessed January 18, 2018).