The number -5 belongs to several sets of numbers:
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Integers: The set of integers includes all whole numbers, both positive and negative, as well as zero. The set of integers is represented as \(\mathbb{Z}\), which includes {..., -3, -2, -1, 0, 1, 2, 3, ...}.
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Rational Numbers: The set of rational numbers includes any number that can be expressed as a fraction \(\frac{a}{b}\) where \(a\) and \(b\) are integers and \(b \neq 0\). Since -5 can be written as \(\frac{-5}{1}\), it is a rational number. The set of rational numbers is represented as \(\mathbb{Q}\).
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Real Numbers: The set of real numbers includes both rational and irrational numbers. Since -5 is a rational number, it is also a real number. The set of real numbers is represented as \(\mathbb{R}\).
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Natural Numbers: -5 does not belong to the set of natural numbers, which are typically defined as the set of positive integers (1, 2, 3, ...), although some definitions may include zero.
In summary, -5 belongs to the sets of integers (\(\mathbb{Z}\)), rational numbers (\(\mathbb{Q}\)), and real numbers (\(\mathbb{R}\)).
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