Related Words

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. Definition of 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.


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.

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.

Translate :

Please provide your email for a free trial as a Teacher or Student. This trial will be valid for the current academic year (2015-16). An email to this address includes the password to login to the full web application. You will also receive other promotional emails as and when such deals become available.

I am a Teacher Student