Let's categorize the numbers you provided:
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Natural Numbers: These are the positive integers (1, 2, 3, ...).
- From your list: 2 (since natural numbers start from 1 and 2 is a positive integer).
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Whole Numbers: These include all natural numbers along with zero (0, 1, 2, 3, ...).
- From your list: 0, 2 (0 is included in whole numbers).
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Integers: This set includes all whole numbers and their negative counterparts (-1, -2, 0, 1, 2, ...).
- From your list: -52, 0, 2 (all these numbers are integers).
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Rational Numbers: These are numbers that can be expressed as a fraction (where both numerator and denominator are integers, and the denominator is not zero). This includes integers, fractions, and repeating or terminating decimals.
- From your list: 1.5, -52, 0, 2 (all these numbers can be expressed as fractions: 1.5 = 3/2, -52 = -52/1, 0 = 0/1, 2 = 2/1).
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Irrational Numbers: These are numbers that cannot be expressed as a simple fraction, meaning their decimal representation goes on forever without repeating.
- From your list: Π (Pi is a well-known irrational number).
In summary:
- Natural Numbers: 2
- Whole Numbers: 0, 2
- Integers: -52, 0, 2
- Rational Numbers: 1.5, -52, 0, 2
- Irrational Numbers: Π