Natural number refers to the number of objects, that is, starting from 0, 0, 1, 2, 3, 4, ... one after another, forming an infinite group, that is, a non-negative integer.

Natural numbers are ordered and infinite. Divided into even and odd numbers, composite numbers and prime numbers.

It can be concluded from the definition of natural number that 0 is a natural number.

Extended data:

Some characteristics of the number 0:

(1)0 has no reciprocal.

(2) The absolute value of 0 is itself, that is, ∣0∣=0.

(3) Among the absolute values of all real numbers, the absolute value of 0 is the smallest.

(4)0 multiplied by any real number equals 0, and 0 divided by any non-zero real number equals 0; Any real number plus or minus 0 equals itself.

Sequences 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,1,12, ... n are called natural sequences.

The general formula of natural sequence an = n.

The sum of the first n terms of a natural sequence Sn=n(n+ 1)/2. Sn=na 1+n(n- 1)/2

The natural sequence is essentially a arithmetic progression, with the first term a 1= 1 and the tolerance d= 1.

The discovery of 0 began in India. Around 2000 BC, the symbol "0" was used in Vedas, the oldest Brahmin literature in ancient India. At that time, 0 indicated that there was no (empty) position in Brahmanism in India. Around the beginning of the 6th century, India began to use the notation of fate. At the beginning of the 7th century, the great Indian mathematician Graf Magpuda first explained that 0 of 0 is 0, and any number can be obtained by adding or subtracting 0.

In ancient Chinese characters, the word "zero" appeared very early. But at that time, it didn't mean "nothing", just "bits and pieces" and "not much". Such as "odd", "sporadic" and "odd". "105" means that there is a score of 100. But in ancient China, there was no such font as 0, only the Chinese font was zero.

Baidu Encyclopedia-Natural Numbers