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It helps us represent a continuous quantity in a number line. Real numbers are identified to distinguish itself from "unreal" or imaginary numbers.
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In mathematics, real numbers are perceived intuitively as the sum of all numbers that are in one-to-one correspondence to the points of an infinite line, called a real axis. The term "real number" was coined a posteriori in contrast to the "imaginary numbers", whose union with the real ones gives the complex ones. Real numbers are the central object of study of real analysis.
Real numbers are divided into explicit numbers (which can be expressed as fractions with an integer and denominator) and implicit numbers (which cannot be expressed exactly as fractions). The explicit together with the implicit are a continuum.
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