Natural Numbers and Whole Numbers

The set of whole numbers is identical to the set of natural numbers, with the exception that it includes a 0 as an extra number.

W = {0, 1, 2, 3, 4, 5, …} and N = {1, 2, 3, 4, 5, …}

Difference Between Natural Numbers and Whole Numbers

Let’s discuss the differences between natural numbers and whole numbers.

Natural Numbers Vs Whole Numbers

Natural Numbers

Whole Numbers

Smallest natural number is 1. Smallest whole number is 0.
All natural numbers are whole numbers. All whole numbers are not natural numbers.
Representation of the set of natural numbers is N = {1, 2, 3, 4, …} Representation of the set of whole numbers is W = {0, 1, 2, 3, …}

Natural Numbers | Definition, Examples & Properties

Natural Numbers are all positive integers from 1 to infinity and are a component of the number system. Natural numbers are also called counting numbers because they are used to count things. Natural numbers do not include 0 or negative numbers.

In this article, we will learn more about natural numbers, their properties, natural numbers from 1 to 100, their types, and examples in detail.

Illustration of Natural Numbers

Table of Content

  • What are Natural Numbers?
    • Natural Numbers Definition
  • Types of Natural Numbers
  • Natural Numbers from 1 to 100
  • Natural Numbers and Whole Numbers
    • Difference Between Natural Numbers and Whole Numbers
  • Natural Numbers on Number Line
  • Properties of Natural Numbers
  • Operations With Natural Numbers
  • Sum of First n Natural Numbers
  • Examples of Natural Numbers
  • Practice Questions on Natural Numbers

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What are Natural Numbers?

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Natural Numbers from 1 to 100

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Natural Numbers and Whole Numbers

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Natural Numbers on Number Line

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Properties of Natural Numbers

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Operations With Natural Numbers

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Sum of First n Natural Numbers

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Examples of Natural Numbers

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Summary – What are Natural Numnbers

Natural numbers are positive integers starting from 1 and going up to infinity, used for counting and ordering. They do not include 0 or negative numbers. These numbers are also called counting numbers and are represented by the symbol N\mathbb{N}N, written as {1,2,3,…}. Natural numbers can be odd (like 1, 3, 5) or even (like 2, 4, 6). The smallest natural number is 1. Natural numbers are a subset of whole numbers, which include 0. Properties of natural numbers include closure (the sum or product of two natural numbers is also a natural number), commutative, associative, and distributive properties. Basic operations with natural numbers include addition, subtraction, multiplication, division, exponentiation, square roots, and factorials....

Practice Questions on Natural Numbers

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