Irrational Number
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. |