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    Irrational Number

    Alternate name
    Basic definition

    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.

    Detailed definition

    An irrational number is a number that cannot be expressed as a fraction p/q for any integers p and q. Irrational numbers have decimal expansions that neither terminate nor become periodic. Every transcendental number is irrational.
There is no standard notation for the set of irrational numbers, but the notations Q^_, R - Q, or R\Q, where the bar, minus sign, or backslash indicates the set complement of the rational numbers Q over the reals R, could all be used.

    Educational grade level

    middle school level (California grade 7 standard)

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