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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.Combine the rational and irrational numbers and you have the set of Real numbers, R.

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Angie Geolin

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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.


Combine the rational and irrational numbers and you have the set of Real numbers, R.

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Wiki User

8y ago
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Q: Family tree of real numbers
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