TOPICS
Search

Irrational Number

Explore IrrationalNumber on MathWorld


An irrational number is a real number that cannot be written as a fraction. Irrational numbers have decimal expansions that neither terminate nor become periodic.

Irrational number is a middle school-level concept. It is listed in the California State Standards for Grade 7.

Examples

Golden Ratio: The golden ratio φ is a mathematical constant obtained as the ratio of longest-to-shorted side lengths in a rectangle constructed so that when it is partitioned into a square and new rectangle, the new rectangle has the same ratio of side lengths as the original. The golden ratio has value of approximately 1.618.
Pi: Pi is the mathematical constant defined as the ratio of the circumference of a circle to its diameter with value of approximately 3.14159.
e: The mathematical constant denoted e is the base of the natural logarithm which has value of approximately 2.718.

Prerequisites

Fraction: A fraction is a rational number expressed in the form a/b, where a is known as the numerator and b as the denominator.
Rational Number: A rational number is a real number that can be written as a quotient of two integers.

Classroom Articles on Pre-Algebra (Up to Middle School Level)

  • Absolute Value
  • Line
  • Arithmetic
  • Origin
  • Arithmetic Series
  • Polynomial
  • Associative
  • Power
  • Base
  • Prime Factor
  • Cartesian Coordinates
  • Prime Factorization
  • Commutative
  • Prime Number
  • Decimal Expansion
  • Pythagorean Theorem
  • Distributive
  • Quotient
  • Divisor
  • Real Line
  • Equal
  • Real Number
  • Factorial
  • Relatively Prime
  • Function Graph
  • Right Angle
  • Geometric Series
  • Rounding
  • Greatest Common Divisor
  • Sequence
  • Integer
  • Series
  • Intersection
  • Set
  • Interval
  • Square Number
  • Least Common Multiple
  • Square Root