An algebraic expression that contains only one term is called a monomial.

The meaning of monomial is defined from a prefix “Mono” and a Latin term “Nomial”.

- The meaning of Prefix “Mono” is one or single.
- The meaning of “Nomial” is a term.

By combining the meanings of both the terms, monomial is defined in algebra as an algebraic expression with one term. In algebra, a monomial is used to represent a quantity in algebraic form. It is known as a polynomial of one term. The monomials are expressed mathematically in two different algebraic forms.

Every algebraic term is an algebraic expression in a single term. So, each algebraic term is a monomial mathematically.

$(1) \,\,\,\,\,\,$ $a$

$(2) \,\,\,\,\,\,$ $-6b$

$(3) \,\,\,\,\,\,$ $3x^2y$

$(4) \,\,\,\,\,\,$ $\dfrac{2}{9} \, mn$

$(5) \,\,\,\,\,\,$ $-\dfrac{4pq^2}{r}$

Every number is considered as a monomial.

$-2$$,\,$ $5$$,\,$ $\sqrt{7}$$,\,$ $\dfrac{4}{9}$$,\,$ $0.12 \,$ $\cdots$

There are two reasons for considering numbers as monomials.

- In Arithmetic, the quantities are symbolically represented by numbers and they are represented in the form of literals in algebra. So, they both are same in mathematics.
- Every number can be written in algebraic form. For example, the number $5$ can be written as an algebraic term $5x^0$.

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