# How do you determine if #7/2# is a monomial?

##### 2 Answers

It is a monomial. It is one term.

#### Explanation:

A monomial is an expression with one term.

Terms are separated by + and - signs.

The term that is given can be regarded as a single number, it has an exact position on the number line.

It is indeed a monomial.

The only possible confusion is if you consider the number to be

This is overcome by either using brackets to indicate that it represents one term

Or by writing it as

It is a monomial.

#### Explanation:

A monomial, by definition, contains just *one* term.

According to regents prep:

"A monomial is the product of non-negative integer powers of variables. Consequently, a monomial has NO variable in its denominator. It has one term. (mono implies one)."

There have to be no negative exponents, and no fractional exponents.

In the case of your fraction, it could be seen as the product of a non-negative integer power, because:

The integer power, *zero* , is not a negative, so it meets that requirement.

The denominator, 2, is not a variable, so it meets that requirement. Also consider that the denominator could be 1 if you put your fraction into decimal form, which is 3.5. In either case, it's not a variable, it's an integer.

Lastly, unlike a binomial (the prefix *bi*- means *two*) or polynomials (*many*), your number,

This all means that any number that isn't attached to a variable is a monomial (that means it's not being divided by or near a variable within the same term). And *some* individual terms *could* be monomials, if they satisfy the rules above.

Just to provide more clarity, here are a few examples that are not monomials:

Notice that those examples above all have just one term, but they don't satisfy the other rules.

Good luck!