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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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JordanStart 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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Are real numbers a subset of natural numbers?
No because natural numbers are a subset of real numbers
What are the real numbers that is not a whole number?
Real numbers are all numbers which do not contain "i", when "i" represents the square root of -1. All numbers which do contain "i" are "imaginary numbers" and are not real numbers. This means that all numbers you'd ordinarily use are real numbers - all the counting numbers (integers) and all decimals are real numbers. So in answer to your question, all the real numbers that are not whole numbers are all the decimal numbers - including irrational decimals such as pi.
Are integers real numbers?
yesYes, integers are real numbers.
Is -6.06 a real number?
Yes. Every number is a real number. Rational numbers, irrational numbers, Whole numbers, Natural numbers, integers are all real numbers.
Which set is the intersection of real numbers and rational numbers?
The rational numbers, since it is a proper subset of the real numbers.
