REAL NUMBER

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.
    Definition of Real Numbers

Video Examples: What Are The Real 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.

Solved Example on Real Numbers

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

    Choices:
    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

Solution:

    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.