Types of Expression
Expressions are mathematical statements that combine variables, constants, and operators. There are different types of expressions, including:
- Numerical Expression
- Algebraic Expression
- Radical Expression
- Fractional Expression
Let’s discuss these in detail as follows.
Numerical Expression
A numerical expression is a specific type of mathematical expression that involves numerals (constants) and arithmetic operations.
It produces a result that is either a number or a Boolean value when evaluated. Some examples of numerical expressions include:
- 5 – 2 + 1/2 (a simple constant expression)
- 5 + 2 – (3 × (-1) + 7) (this can be simplified to 3)
- 3 × (8 + 4) – 7 (this can be simplified to 29)
Algebraic Expression
An algebraic expression is a mathematical expression that consists of variables, constants, and algebraic operations such as addition, subtraction, multiplication, division, and exponentiation.
Some examples of algebraic expression are:
- 3x – 3xy3 (monomial expression)
- 5xy + 8 (binomial expressions)
- ax + by + c (polynomial expressions)
Fractional Expression
A fractional expression contains fractions within an algebraic expression. For instance, consider the following examples:
- 3/x + 9/20
- (x – 2)/(x + 2) + 2
- 3/(x – 3) – 1/2
- 4x2/(x – 5)
Radical Expression
A radical expression is a mathematical expression that contains a root symbol, such as a square root, cube root, or fourth root. Examples of radical expression include:
- 3√(2) – 7
- √(9x2) + 1/2
- √(x2 + 2x – 1)
Expressions in Math
Expressions in math are combinations of numbers, variables, operators, and sometimes parentheses that represent a particular value. An expression is a statement involving at least two different numbers or variables and at least one operation, such as addition, subtraction, multiplication, division, exponents, and roots.
In this article, we will learn about expression, terms, factors and coefficients in expression. We will discuss expression definition, term definition, factor definition, coefficient definition and examples.
Table of Content
- Expression in Mathematics
- Terms used to Explain Expression
- How to Write Expression in Math?
- Types of Expression
- Examples of Expression
- Factors of Expression
- Equation vs Expressions in Math
- Solved Examples on Expressions
- Practice Problems on Expressions