Definition of Natural Numbers

All the counting numbers 1, 2, 3,... are called Natural Numbers.

More About Natural Numbers

  • The set of natural numbers is represented by using the symbol N.
  • The main purpose of the natural numbers is counting and ordering.
  • All natural numbers are whole numbers but all whole numbers are not natural numbers.

  • A natural number 'n' can be written in the form of rational number as n/1 . So, all natural numbers are rational numbers.
  • The square of any natural number can be expressed as a sum of odd numbers.
  • Natural numbers are a subset of the whole numbers, the integers, the rational numbers, and the real numbers.

Video Examples: What are Natural Numbers ? - Natural numbers explained

Examples of Natural Numbers

    The above number line describes the natural numbers

    The number of apples in the basket is 7, which is a natural number.

Solved Example on Natural Numbers

Ques: Which of the following is a natural number?

    A. 1/3
    B. 0
    C. 57
    D. - 26
    Correct Answer: C


    Step 1: 1/3 is a rational number. [A rational number is the ratio of two integers in the form a/b , where b ≠ 0.]
    Step 2: 0 is a whole number. [Whole Numbers are {0, 1, 2, ...}.]
    Step 3: - 26 is a negative integer. [Integers are the set of whole numbers and their opposites.]
    Step 4: 57 is a natural number. [Natural numbers are {1, 2, 3, ...}.]

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