Question

what is meant by real numbers

Answer 1

The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2 . Included within the irrationals are the transcendental numbers, such as π.

Answer 2

A real number is a value of continuous quantity that can be represent a distance along a line. The adjective real in this context was introduced in the 17th century by René Descartes, who distinguished between real and imaginary roots of polynomials. The real line can be thought of as a part of the complex plane, and complex numbers include real numbers..
The reals are uncountable; that is: while both the set of all natural numbers and the set of all real numbers are infinite sets, there can be no one-to-one function from the real numbers to the natural numbers

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