How do you determine if #7/2# is a monomial?
It is a monomial. It is one term.
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.
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)."
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.