Math Doubts

Monomial

An algebraic expression which contains a single algebraic term is called a monomial.

Introduction

The meaning of monomial according to English language is a single term. In algebra, the term is an algebraic term. So, if any quantity is represented by an algebraic term, then it is called a monomial.

Algebraic expressions are actually formed by the various combinations of numbers and literals to represent the quantities algebraically. In some cases, an algebraic term is enough to represent a quantity mathematically and the single algebraic expression is called a monomial.

Examples

There are three possible cases in algebra for forming the monomials.

01

Numbers

In Pre-Algebra, numerals are used as numbers to represents the quantities. Each numeral is a symbol and also a term basically. Hence, every number is considered as an algebraic term and it is also an expression. Therefore, each number, used in algebra is considered as an algebraic expression. So, every number is a monomial.

Examples

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

02

Literals

Every literal is a term basically and it is also an expression to represent a quantity in mathematics. Therefore, each literal is an algebraic expression and also called as a monomial.

Examples

$a$$,\,$ $b$$,\,$ $c$$,\,$ $d \,$ $\cdots$

03

Terms

An algebraic term is a single term basically and it is also an expression in algebraic form. So, every single algebraic term is called a monomial in algebra.

Examples

$-a$$,\,$ $6b$$,\,$ $-3x^2y$$,\,$ $\dfrac{2}{9} \, mn$$,\,$ $-0.9 lm^2n^2$$,\,$ $-\dfrac{4pq^2}{r}$ $\cdots$



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