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irrational numbers

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irrational number

    noun, Mathematics

(1) Any real number that cannot be expressed exactly as a ratio of two integers (excludes imaginary and complex numbers).

(2) Any real number that is not a rational number.

    Computers have limits on the largest and smallest irrational numbers that can be represented and rounding or approximation of irrational numbers.

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irrational numbers

irrational number

    noun, Mathematics

(1) Any real number that cannot be expressed exactly as a ratio of two integers (excludes imaginary and complex numbers).

(2) Any real number that is not a rational number.

    Examples of irrational numbers include pi (π) Euler’s number (e), and the square root of 2 (√2).

    The square roots of most (but not all) numbers are irrational. For example, √2, √3, √5, √6, √7, and √8 are irrational numbers, while √4 (which is 2) and √9 (which is 3) are both rational numbers.

    Computers have limits on the largest and smallest irrational numbers that can be represented and rounding or approximation of irrational numbers.

    The decimal expansion of an irrational number is an infinite series of digits that does not end in an infinite repeating sequence of digits.

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