# Natural Number Mean in Math?

Natural numbers are a part of the number system, including all the positive numbers from 1 to infinity. Natural numbers are also called counting numbers because they do not include a negative number or zero. They are a part of real numbers including only the positive integers, but not zero, decimals, negative numbers, fractions

**What is a natural number?**

The set of Natural numbers of all the whole numbers excluding 0. These numbers are used in our daily life and day-to-day speech and activities. We see numbers everywhere around us, for counting things, representing or exchanging money, telling the time, for measuring the temperature, , etc. These numbers that are used for counting things are called ‘natural numbers.

** For example,**

While counting things, we say 2 tables, 4 books, 13bottle, and so on

Example of Natural number:

An example of a natural number 23,54,67,1000,

**Set of natural numbers:**

A set is a collection of objects (numbers in this context). The set of natural numbers in Mathematics is written as {1,2,3,…}. The set of natural numbers is represented by the symbol, N.

N={1,2,3,4…….}

Statement form | N=Set of all positive numbers starting from 1 |

Roster form | N={1,2,3,4…} |

Set Builder form | N={XIX belong to natural number} |

**Smallest natural number:**

The smallest natural number is 1. We know that the smallest element in N is 1 because the natural number starts from 1 and that for every element in N, we can talk about the next element in terms of 1 and N (which is 1 more than that element). For example, two is one more than one, three is one more than two, and four is one more than three, and so on.

## 0 is a natural number?

No, 0 is NOT a natural number because natural numbers starting from 1 are counting numbers. For counting any number of things, we start counting from 1 and not from 0.

**What Is even a natural number?**

The even natural numbers are the numbers that are even, exactly divided by 2, and belong to the set N.

So the set of even natural numbers is {2,4,6,8,…}.

**What IS an odd natural number?**

The odd natural numbers cannot be divided exactly two are the numbers that are odd and belong to the set N.

So the set of odd natural numbers is {1,3,5,7,…}.

**A natural number is represented by a number line:**

The set of natural numbers shown on the number line as given below. All the positive integers or the integers on the right-hand side of 0, represent the natural numbers, whereas, all the positive integers along with zero, denoted the whole numbers.

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