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Examples of Monomials

monomial is an expression in algebra that contains one term, like 3xy. Monomials include: numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. Any number, all by itself, is a monomial, like 5 or 2700. A monomial can also be a variable, like m or b. It can also be a combination of these, like 98b or 7rxyz.
There are two rules to remember about monomials:

  • A monomial multiplied by a monomial is also a monomial.

2 * 2 = 4 (a monomial)
2 * x = 2x
2 * 6 = 12
2 * y = 2y

  • A monomial multiplied by a constant is also a monomial.

Examples: Numbers That Are Monomials

  • 12345678910
  • 100
  • 500
  • 1,000
  • 5,000
  • 10,000
  • 3,598,772
  • 4,000,000
  • 14,000,000
  • 14,100,300
  • 20,000,000

Examples: Variables That Are Monomials

  • x
  • y
  • xy
  • abc
  • ggg
  • mx
  • b
  • w
  • l
  • s
  • bxy
  • a
  • ax

Examples: Combinations of Numbers and Variables That Are Monomials

  • 1x
  • 2y2
  • 32x5y
  • 653abc
  • 2g7g9g

A monomial is an algebraic expression with only one term, so x * y or 47x + 2 are not monomials. All algebraic expressions with one term, however, are examples of monomials – so there are countless examples that encompass the entire number system.

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