What Is a Mathematical Expression?

2 + 2 = 4 is a well known mathematical expression.
••• Comstock/Comstock/Getty Images

Mathematics is made up of symbols that can be combined to make statements about the world around us. Sometimes those symbols represent numbers and sometimes they are more abstract, representing spaces, symmetries or groups. Mathematical expressions are formed when these symbols are combined with mathematical operations such as addition, subtraction, or multiplication to name just a few.

Example 1: Arithmetic Operations

The most basic kind of mathematical expression are arithmetic operations. Arithmetic operations consist of any combination of numbers with a mathematical operation, such as multiplication, addition, subtraction or division. For example, 9 + 14/2 - 6*(5 + 3) is an arithmetic operation equal to -32.

Example 2: Functions

Another common type of mathematical expression are functions. Functions consist of numbers, variables and mathematical operations, and are often used in physics, biology and economics to design models that approximate observations about the world. For example, 2x + 7 = 13 is a function and the value of x in this case is 3.

Example 3: Summations

Another kind of expression commonly found in mathematics is a summation. Summations add together all the elements of a particular set and are represented by the Σ symbol, or sigma. For example, if A = {1, 2, 3, 4], Σ(A) = 1+2+3+4, which is equal to 10.

Other Expressions

Some mathematical expressions that have not been discussed here but are very common in mathematical work are derivatives, integrals and factorials. These are similar in structure to the three types of expressions described above and are often used in calculus and abstract math.

Related Articles

How Are Compound Inequalities Useful in Life?
How to Cancel a Natural Log
Differences Between Absolute Value & Linear Equations
Algebra Rules for Beginners
How to Solve a Parabola
Associative & Commutative Property of Addition & Multiplication...
What is the Identity Property of Multiplication?
How to Find Terms in an Algebra Expression
How to Calculate a Sigma Value
How to Write Math Arrays
How to Evaluate Logarithms With Square Root Bases
How to Factor Binomial Cubes
How to Do Exponents Outside of the Parenthesis
Covalent Vs. Hydrogen Bonds
How to Solve for a Variable in a Trig Function
How to Graph Parabolas on a TI-84 Calculator
How to Factor Polynomials with Coefficients
The Difference Between Sequence & Function
How to Find the Area of Squares
How to Get Rid of Cubed Power