Zero belongs to the following sets of numbers:
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Rational numbers: Zero can be expressed as \( \frac{0}{1} \) or \( \frac{0}{n} \) (where \( n \) is a non-zero integer), making it a rational number.
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Integers: Zero is considered an integer, as it falls within the set of whole numbers that extend in both the positive and negative direction (e.g., ..., -3, -2, -1, 0, 1, 2, 3, ...).
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Whole numbers: Whole numbers include non-negative integers (0, 1, 2, ...), thus zero is included.
However, zero does not belong to:
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Irrational numbers: Irrational numbers are numbers that cannot be expressed as a fraction of two integers; zero is not included in this category.
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Natural numbers: Natural numbers are typically defined as the set of positive integers (1, 2, 3, ...), and zero is not included in this conventional definition. Some definitions do include zero in natural numbers, but the common definition does not.
In summary, zero belongs to rational numbers, integers, and whole numbers.
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