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Question: What is Real Number ?

Answer:

Any number which corresponds to a length on a number line is a real number, such as 3, 8.4, -9.2, 0, 26.98732, 2. Real numbers can be written using decimal notation, whether the decimal terminates, is recurring, or goes on for ever without the pattern of digits repeating, such as
3.745      28.131313131313...      812.01001000100001...

A real number, also called just a real, is a number which can be written out as a decimal, even though it might take forever to do so. Whole numbers, fractions, irrational and transcendental numbers are all real.