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Start with the set of Natural numbers = N.Combine these with negative natural numbers and you get the set of Integers = Z.

Combine these with ratios of two integers, the second of which is positive, and you get the set of Rational numbers = Q.


Start afresh with numbers which are not rational, nor the roots of finite polynomial equations. This is the set of transcendental numbers.

Combine these with the non-rational roots of finite polynomial equations and you have the set of Irrational Numbers.


Any rational or irrational number is classified as an element of the set of Real numbers, R.

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Q: What classified as a real number?
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