Is 0 a natural number?

The number that can be counted, then 0 can also be counted, indicating that there is no object. From this point on, 0 should be a natural number. But in the end I'm not sure.

Recently, I saw such an explanation, which is excerpted below:

We have received letters and calls from elementary school math teachers, parents, and students asking whether 0 is a natural number. The answers are as follows:

Historically, there have always been two views in the mathematical circles at home and abroad on whether 0 is a natural number: one believes that 0 is a natural number, and the other believes that 0 is not a natural number. Since the founding of the People's Republic of China, China's primary and secondary school textbooks have always stipulated that natural numbers do not include 0.

At present, most of the foreign mathematical circles stipulate that 0 is a natural number. In order to facilitate international exchanges, the National Standards of the People's Republic of China (GB3100 3102-93) promulgated in 1993 "Quantities and Units" (page 311) stipulate that natural numbers include 0. Therefore, in the revision of primary and secondary school mathematics textbooks in recent years, our textbook research and compilation staff have revised them according to the above-mentioned national standards.

That is, there is no object, which is represented by 0. 0 is also a natural number.

However, in the "divisible" part of the elementary school level, the natural number 0 is still not considered, so 0 is not included in concepts such as divisors and multiples. Also, in general, we don't say that the number 0 is a few digits, so the smallest single digit is 1.

The above paragraph is extracted, but in high school, 0 should be considered a natural number

In 1990, the national standard stipulates that 0 is a natural number, and the smallest natural number is now handled in this way in teaching, and the same is true for the college entrance examination

Don't die when you're old.

In November 1994, the State Bureau of Technical Supervision issued the "National Standards of the People's Republic of China, Mathematical Symbols Used in Physical Science and Technology", which recorded the set of natural numbers as:

n= and the original set of natural numbers is called a non-zero set of natural numbers.

n+(or n*)=.

Therefore in the present 0 is a natural number.

0 wasn't before, but the teacher said that it has changed in recent years, and 0 is also a natural number.

Be. Integers greater than or equal to 0 are collectively referred to as natural numbers.

Yes, it is said in the textbook, and the teacher also says so.

0 is a natural number, "0" joins the traditional set of natural numbers, and all the "operation rules" are still maintained, for example, any two natural numbers in the new set of natural numbers can be added and multiplied, and the result is still a natural number. At the same time, the associative and commutative properties of addition and multiplication, as well as the distributive properties of multiplication, are not affected.

An integer between -1 and 1, 0 is the smallest natural number and is also a rational number. 0 is neither positive nor negative, but the dividing point between positive and negative numbers. There is no reciprocal number of 0, the opposite of 0 is 0, the absolute value of 0 is 0, and the square of 0 is 0.

The square root of 0 is 0, the cube root of 0 is also 0, 0 times any number is equal to 0, the power of 0 of any number other than 0 is equal to cannot appear as a denominator or divisor, all multiples of 0 are 0, 0 divided by any non-zero real number is equal to 0.

The National Standard of the People's Republic of China (GB 3100-3102-93) promulgated in 1993 "Quantities and Units" (page 311) stipulates that natural numbers include 0. Therefore, in the revision of primary and secondary school mathematics textbooks in recent years, the textbook researchers and compilers have revised them according to the above-mentioned national standards. That is, there is no object, which is represented by 0.

0 is also a natural number.

Passing on the concept of "0 as a natural number" to primary and secondary school students has a lot to do with the development of computers. When using computer programming, you need to write ** in computer language, computer language "binary code" is composed of two basic characters "0", "1" **, "0" in the computer importance is self-evident.

Computer scientists usually put "0" in the first place of the number to facilitate encoding and calculation. "Many children start learning computational programming in elementary school, and the concept of 0 as a natural number becomes even more important. ”

0 is a natural number. The definition of a natural number is a non-negative integer. Because the most commonly used numbers in daily life are these non-negative integers, we call these numbers natural numbers.

Although 0 is not a positive number, 0 is not a negative number either, so 0 is a non-negative integer, which is naturally a natural number.

A set of natural numbers is a set of all non-negative integers (in the past textbooks, zero was generally considered not to be a natural number, but 21st century regulations indicate that 0 is indeed a natural number, and the reason for this correction is to facilitate brevity) and is often represented by n. There are infinite numbers of natural numbers. So 0 is a natural number.

Formula series 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ,......n, which is called a natural sequence.

The general formula for natural sequences is an=n.

The first n terms of the natural series and sn=n(n+1) 2. sn=na1+n(n-1)/2

The natural sequence is essentially an equal difference sequence, with the first term a1 = 1 and the tolerance d = 1.

However, before 2001, in China's primary school mathematics textbooks, 0 was not a natural number, which was contradictory to foreign mathematics textbooks.

Since 2002, Chinese primary school mathematics textbooks have also recognized the status of the natural number of 0.

0 is a natural number. This is prescribed.

Now 0 is considered a natural number, and the smallest natural number is 0.

A natural number can be a positive integer (1, 2, 3, 4) or a non-negative integer (0, 1, 2, 3, 4).

The former is usually used in number theory, while the latter is mostly used in set theory and computer science.

One of the reasons to think that natural numbers don't contain zeros is because people (especially children) start learning numbers from "one, two, three." Instead of starting with "zero, one, two, three." To start, because that's very unnatural.

In natural numbers, all but 0 is a positive integer. Positive integers can be further divided into primes, 1s, and composite numbers. The set of natural numbers is a countable, infinite set of supreme bounds. Mathematicians generally denote it in n.