real numbers


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 = {..., -2, -1, 0, 1, 2,...}
  • , 10.3, 0.6, , , 3.46466466646666..., , are few more examples.

Solved Example on Real Numbers

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.

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.

Related Terms for Real Numbers

  • Decimal
  • Integer
  • Irrational Number
  • Natural Number
  • Rational Number
  • Whole Number