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Irrational numbers are real numbers that cannot be expressed as the ratio of two integers. Their decimal expansions are non-repeating and non-terminating.
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Rational Numbers: Numbers that can be expressed as the ratio of two integers, where the denominator is not zero.
$\pi$: An irrational number representing the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.
$e$: An irrational number known as Euler's number, approximately equal to 2.71828, and base of natural logarithms.