Algebraic Term

algebraic term

Definition

A term that contains at least one symbol to represent a quantity is called an algebraic term.

An algebraic term is a single term and formed mainly by the involvement of at least either a number or a letter or both in different combinations. Thus, Symbols form different terms in algebra to represent various quantities in mathematical form.

Formation

The algebraic terms are formed in four distinct styles possibly to represent quantities algebraically.

1

Numbers

Every number is a symbol and used to represent a particular quantity. Hence, every real number is a basic example to algebraic terms.

Examples

$0$, $3$, $-8$, $\dfrac{4}{7}$, $-\dfrac{13}{6}$, $0.56$, $-3.15$, $\sqrt{13}$, $-\dfrac{2}{\sqrt[\displaystyle 3]{9}}$, $\ldots$

2

Symbols

Every symbol can be used to represent a quantity. Therefore, the symbols (can be either constants or variables) are also best examples of algebraic terms.

Examples

$a$, $p$, $\theta$, $\delta$, $c_o$, $\pi$, $\ldots$

3

Product

Numbers and symbols involve in multiplication to form single terms as their product to represent quantities. So, every algebraic term can be formed in product form by a number and at least one symbol.

Examples

$2x$, $-p^{\displaystyle 2}$, $7ab$, $-6m^{\displaystyle 2}n$, $0.5rs^{\displaystyle 2}t^{\displaystyle 3}$, $\Bigg(\dfrac{3}{7}\Bigg)cd^{\displaystyle 2}e^{\displaystyle 3}f^{\displaystyle 4}$, $\ldots$

4

Quotient

Numbers and symbols are also involved in division to form single terms as their quotient. Therefore, every algebraic term can be formed in quotient form by a number and at least one symbol.

Examples

$\dfrac{1}{d}$, $-\dfrac{a}{2b}$ , $\dfrac{p^{\displaystyle 2}}{q}$, $-\dfrac{m^{\displaystyle 4}}{n^{\displaystyle 3}r^{\displaystyle 6}}$, $\ldots$

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