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 $5x^0$.

Latest Math Topics

Apr 18, 2022

Apr 14, 2022

Apr 05, 2022

Mar 18, 2022

Mar 05, 2022

Latest Math Problems

Apr 06, 2022

Mar 22, 2022

A best free mathematics education website for students, teachers and researchers.

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Learn how to solve the maths problems in different methods with understandable steps.

Copyright © 2012 - 2021 Math Doubts, All Rights Reserved