Difference between revisions of "Irrational number"
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(Created page with "In mathematics, an irrational number is any real number that cannot be expressed as a ratio a/b, where a and b are integers and b is non-zero. Informally, this means that an i...") |
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| − | In mathematics, an irrational number is any real number that cannot be expressed as a ratio a/b, where a and b are integers and b is non-zero. | + | In mathematics, an [[irrational number]] is any real number that cannot be expressed as a ratio a/b, where a and b are integers and b is non-zero. |
| − | Informally, this means that an irrational number cannot be represented as a simple fraction. [[Irrational number]]s are those real numbers that cannot be represented as terminating or repeating decimals. As a consequence of Cantor's proof that the real numbers are uncountable (and the rationals countable) it follows that almost all real | + | Informally, this means that an irrational number cannot be represented as a simple fraction. [[Irrational number]]s are those real numbers that cannot be represented as terminating or repeating decimals. As a consequence of Cantor's proof that the real numbers are uncountable (and the rationals countable) it follows that almost all [[real number]]s are irrational. see: http://en.wikipedia.org/wiki/Irrational_number |
Latest revision as of 06:26, 24 March 2014
In mathematics, an irrational number is any real number that cannot be expressed as a ratio a/b, where a and b are integers and b is non-zero. Informally, this means that an irrational number cannot be represented as a simple fraction. Irrational numbers are those real numbers that cannot be represented as terminating or repeating decimals. As a consequence of Cantor's proof that the real numbers are uncountable (and the rationals countable) it follows that almost all real numbers are irrational. see: http://en.wikipedia.org/wiki/Irrational_number
