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Definition of Real Numbers

Real Numbers include all the rational and irrational numbers.

More About Real Numbers

Real numbers are denoted by the letter R.
Real numbers consist of the natural numbers, whole numbers, integers, rational, and irrational numbers.

Examples of Real Numbers

Natural numbers, whole numbers, integers, decimal numbers, rational numbers, and irrational numbers are the examples of real numbers.
Natural Numbers = {1, 2, 3,...}
Whole Numbers = {0, 1, 2, 3,...}
Integers Z = {..., -2, -1, 0, 1, 2,...}
3/5, 10.3, 0.6, 12/5, 3/4, 3.46466466646666..., √ 2, √ 3 are few more examples.
Definition of Real Numbers

Video Examples: What Are The Real Numbers?

Solved Example on Real Numbers

Ques: Name the subset(s) of the real numbers to which '- 25' belongs.

  • A. integers, rational numbers, real numbers
  • B. whole numbers, integers, rational numbers, real numbers
  • C. natural numbers, whole numbers, integer numbers, rational numbers, real numbers
  • D. irrational numbers, real numbers

Correct Answer: A


  • Step 1: - 25 is an integer.
    Definition of Real Numbers
  • Step 2: The set of integers is a subset of the rational numbers and the real numbers
  • Step 3: Therefore, the subsets to which - 25 belongs to are: integers, rational numbers, and the real numbers.

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