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What's a Monomial?

Definition: Monomials

Summary

  1. 'Product' means multiplication
  2. Monomials cannot have addition, subtraction, or division
  3. 12 is a number
  4. x is a variable
  5. 9a, 5y3, and 1/2•ab3c2 are products of numbers and variables
  6. a+c and 5+7ad have addition, so they are not monomials
  7. x/z, 1/y3, and 7x/3c have division, so they are not monomials

Notes

    1. Remember, 'product' means multiplication
    1. We're multiplying 9, a number, by 'a', a variable
    1. We're multiplying 5, a number, by y3, a variable
    1. We're multiplying together 1/2, which is a number, and three variables: a, b3, and c2
    1. Monomials can be single numbers or variables, or they can be products of both
    2. If there is addition, subtraction, or division, it is NOT a monomial
    1. We are dividing x by z, so since there is division, it is NOT a monomial
    1. Here we have addition, so it is NOT a monomial
    1. Since there is addition, it doesn't matter that there is also multiplication
    2. The addition makes it NOT a monomial
    1. We are dividing 1 by y3, so since there is division, it is NOT a monomial
    1. We are dividing 7x by 3c, so since there is division, it is NOT a monomial
    2. It doesn't matter that there is also multiplication, because the division makes it NOT a monomial
    1. Remember, 'product' means multiplication