The set of integers is always rational.
Rational numbers are numbers that can be expressed as the quotient of two integers, where the denominator is not zero. Since integers can be expressed as themselves divided by 1 (for example, \(5\) can be written as \(\frac{5}{1}\)), all integers are rational numbers.
In contrast, real numbers include both rational and irrational numbers, decimals can be rational or irrational (for example, \(0.5\) is rational, but \(\pi\) is not), and positive numbers can also be either rational or irrational.
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