How many classifications of real numbers are there?
There are several classifications of real numbers
There are several classifications of real numbers.
1. Natural Numbers (N): These are the counting numbers or positive integers starting from 1 (1, 2, 3, 4, …).
2. Whole Numbers (W): Whole numbers include zero and all the positive integers (0, 1, 2, 3, 4, …).
3. Integers (Z): Integers include all the whole numbers, both positive and negative, including zero (-3, -2, -1, 0, 1, 2, 3, …).
4. Rational Numbers (Q): Rational numbers can be expressed as fractions of two integers, where the denominator is not zero. Examples include fractions like 1/2, 3/4, 5/3, -4/5, etc.
5. Irrational Numbers (I): Irrational numbers cannot be expressed as fractions, and their decimal representations neither terminate nor repeat. Examples include square roots of non-perfect squares like √2, √3, π (pi), e (Euler’s number), etc.
6. Real Numbers (R): Real numbers include both rational and irrational numbers. It is the set of all possible numbers on the number line, including decimals, fractions, integers, and irrational numbers.
Therefore, the classifications of real numbers are Natural Numbers (N), Whole Numbers (W), Integers (Z), Rational Numbers (Q), Irrational Numbers (I), and Real Numbers (R).
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