MathsNatural Numbers and Whole Numbers – Infinity Learn

Natural Numbers and Whole Numbers – Infinity Learn

Definition of Whole Number and Natural Number

Natural Numbers and Whole Numbers – Infinity Learn: A whole number is a number that can be expressed as a whole number, without a fractional component. Whole numbers include the natural numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and so on.

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    A natural number is a whole number that is not zero. The natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

    Natural Numbers and Whole Numbers

    What are Natural Numbers?

    Natural numbers are the counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, and so on.

    What are Whole Numbers?

    A whole number is a number that can be expressed as a whole number, without a fractional component. For example, the number 5 can be expressed as the whole number 5, without any fractional component. The number 7 can also be expressed as the whole number 7, without any fractional component.

    What is the Difference Between Natural and Whole Numbers?

    The major difference between natural and whole numbers is that natural number doesn’t include 0 whereas whole numbers include 0 too. Let us discuss the other differences also.

    Difference Between Natural and Whole Numbers
    S.No Natural Numbers Whole Numbers
    1 Natural numbers are defined as the basic counting numbers. The natural number in set notation is {1, 2, 3, 4, 5, …..} Whole numbers are defined as the set of natural numbers, and it started with zero. The whole numbers in set notation is {0,1, 2, 3, 4, 5, ….}
    2 Natural Numbers are represented using the letter “N” Whole Numbers are represented using the letter “W”.
    3 Counting number starts from 1 Counting number starts from 0
    4 We can say that all the natural numbers are considered as whole numbers We can say that all the whole numbers are not considered as natural numbers

    There is a big difference between natural and whole numbers. Whole numbers are the counting numbers, 1, 2, 3, etc. Natural numbers are the counting numbers, 1, 2, 3, etc., plus 1. So, the natural numbers are 1, 2, 3, 4, 5, etc.

    Solved Examples

    Example 1: Find whole numbers from the given numbers. 13, 0, 5, 89, 4, -4, -3, 23

    Sol: Whole Numbers = 13, 0, 5, 89, 4, 23

    Example 2: Find whole numbers from 4, 14/5, 0, (0.97), 2, -6, -17, 21

    Sol: Whole Numbers = 4, 0, 2, 21.

    Example 3: From the given series of numbers, find natural numbers. 41, (0.4), 5, 90, -91, 0, -7.

    Sol: Natural Numbers = 41, 5, 90.

    Example 4: From the given series of numbers, find natural numbers. 4, 4/15, 0, (0.87), 2, -7, -17, 21.

    Sol: Natural Numbers = 4, 2, 21.

     

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