Difference between revisions of "Irrational number"
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An '''irrational number''' is a number that cannot be expressed as the ratio of two [[integers]]. Irrational numbers together with [[rational number]]s make up the set of [[real numbers]]. | An '''irrational number''' is a number that cannot be expressed as the ratio of two [[integers]]. Irrational numbers together with [[rational number]]s make up the set of [[real numbers]]. | ||
| − | Irrational numbers often arise as solutions to problems | + | Irrational numbers often arise as solutions to problems involving rational numbers. For example, the square root of 2 is irrational. Other irrationals, such as [[pi]], serve as fundamental constants in many mathematical problems. |
Irrational numbers can never be expressed exactly using decimal notation with a finite number of digits. Instead it is common to write them using only enough significant digits to solve the problem at hand, followed by an ellipsis (…): | Irrational numbers can never be expressed exactly using decimal notation with a finite number of digits. Instead it is common to write them using only enough significant digits to solve the problem at hand, followed by an ellipsis (…): | ||
Revision as of 19:41, November 27, 2008
An irrational number is a number that cannot be expressed as the ratio of two integers. Irrational numbers together with rational numbers make up the set of real numbers.
Irrational numbers often arise as solutions to problems involving rational numbers. For example, the square root of 2 is irrational. Other irrationals, such as pi, serve as fundamental constants in many mathematical problems.
Irrational numbers can never be expressed exactly using decimal notation with a finite number of digits. Instead it is common to write them using only enough significant digits to solve the problem at hand, followed by an ellipsis (…):
