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## What is natural number

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A natural number is a number used to measure the number of pieces of something or to indicate the order of something. That is, the number represented by the digits 0, 1, 2, 3, 4 …….

If you want to learn mathematics well, you must lay a good foundation in mathematics, the most basic of which is natural numbers. For the sake of not failing math, let me tell you what natural numbers are. Come and learn!

## Detailed content

01

Natural number is the common characteristic of all equivalent finite sets, integers include natural numbers, so natural numbers must be integers, and must be non-negative integers.

02

Orderliness of natural numbers: Natural numbers can start from 0 and be arranged into a sequence without repetition or omission: 0, 1, 2, 3,… This sequence is called the natural series. If the elements of a set can establish a one-to-one correspondence with the natural sequence or a part of the natural sequence, we say that the set is countable, otherwise we say that it is uncountable.

03

The infinity of natural numbers: The set of natural numbers is an infinite set, and the natural sequence can be written endlessly.

Transitivity of natural numbers: Let N1, N2, and N3 be natural numbers. If N1 > N2 and N2 > N3, then N1 > N3.

For any two natural numbers n _ 1 and n _ 2, there is only one of the following three relations: n _ 1 > N _ 2, n _ 1 = n _ 2 or n _ 1

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04

Principle of the Least Decimal: Any non empty subset of the natural number set must have the minimum number. Number sets with properties 3 and 4 are called linear ordered sets. It is easy to see that rational number set and real number set are linear ordered sets. However, neither of these two number sets has the property 5. For example, the set of all numbers of the form nm (m > n, m, n are all natural numbers) is a non-empty subset of the rational number set, and this set has no minimum number; The open interval (0pl) is a non-empty subset of the set of real numbers, and it has no minimum number.

05

Natural numbers can be divided into odd numbers and even numbers. The numbers that cannot be divisible by 2 are called odd numbers, and the numbers that can be divisible by 2 are called even numbers. In other words, except for odd numbers, it is even numbers.

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