What are Natural Numbers?
Natural numbers or counting numbers are those integers that begin with 1 and go up to infinity.
Only positive integers, such as 1, 2, 3, 4, 5, 6, etc., are included in the set of natural numbers. Natural numbers start from 1 and go up to ∞.
Natural Numbers Definition
Natural numbers are the set of positive integers starting from 1 and increasing incrementally by 1. They are used for counting and ordering. The set of natural numbers is typically denoted by N and can be written as {1,2,3,4,5,…}
Set of Natural Numbers
In mathematics, the set of natural numbers is expressed as 1, 2, 3, … The set of natural numbers is represented by the symbol N. N = {1, 2, 3, 4, 5, … ∞}. A collection of elements is referred to as a set (numbers in this context). The smallest element in N is 1, and the next element in terms of 1 and N for any element in N. 2 is 1 greater than 1, 3 is 1 greater than 2, and so on. The below table explains the different set forms of natural numbers.
|
Set Form |
Explanation |
|---|---|
| Statement Form | N = Set of numbers generated from 1. |
| Roaster Form | N = {1, 2, 3, 4, 5, 6, …} |
| Set-builder Form | N = {x: x is a positive integer starting from 1} |
Natural numbers are the subset of whole numbers, and whole numbers are the subset of integers. Similarly, integers are the subset of real numbers. The below-given diagram explains the relationship w.r.t. the sets of natural numbers, whole numbers, integers, and real numbers.
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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