A 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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