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In the original elementary school mathematics, 0 was an integer, not a natural number, but now, it has been changed, and 0 is also a natural number.
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With the successive use of the nine-year compulsory education primary school mathematics textbook (trial revised version), we have received letters and calls from some primary school mathematics 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 (GB 3100 3102-93) (page 311) (page 311) promulgated in 1993 stipulate 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.
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.
I hope that all teachers and netizens will tell each other! Thank you!
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0 is a natural number.
1. Natural numbers are used to measure the number of things or the number of things to express the order of things, that is, the numbers 0, 1, 2, 3, 4 ,......The number represented.
2. The number that represents the number of objects is called the natural number, and the natural number starts from 0 and follows one after the other, forming an infinite collective.
3. Natural numbers are the most basic type of all numbers that people know, natural numbers have order, infinity, and are divided into even and odd numbers, composite numbers and prime numbers.
4. There are addition and multiplication operations in the set of natural numbers, and the result of adding or multiplying two natural numbers is still a natural number, and it can also be used for subtraction or division, but the results of subtraction and division may not be natural numbers, so subtraction and division operations are not always true in the set of natural numbers.
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0 is not a natural number. A natural number is a sequence of integers starting from 1, including etc., without decimals and fractions. Whereas, 0 is not a natural number.
Natural numbers are the most basic numbers that people use to count and arrange, and they can be used to represent the number of items, the length of time, the size of space, and so on. Natural numbers can also be used for addition, subtraction, multiplication, and division, which is one of the most basic concepts in mathematics. In addition to natural numbers, there are integers, rational numbers, irrational numbers, real numbers, and so on, all of which have their own definitions and properties.
In mathematics, the definition of each concept is very important because they determine what we can do and what conclusions we can derive. Therefore, when learning Yuluhui mathematics, it is necessary to carefully grasp the definition of each concept, understand its connotation and extension, so as to better grasp the mathematical knowledge and apply it to practical problems.
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0 is a natural number.
The number 0:0 is an integer between -1 and 1, the smallest natural number, and the rational number of this file. 0 is neither positive nor negative, but the dividing point between positive and negative numbers.
0 has no reciprocal, the opposite of 0 is 0, the absolute value of 0 is 0, the square root of 0 is 0, the cube root of 0 is 0, 0 times any number equals 0, the power of 0 of any number other than 0 is equal to 0, all multiples of 0 are 0, 0 cannot be used as a divisor, 0 divided by any non-zero real number equals 0.
Computer Units:
1 and 0 are the basic units of data processed by a computer, and everything you see on a computer is made up of two numbers, 1 and 0, each 1 or 0 represents a bit, that is, one bit, and 8 bits is a byte (b). The images** and so on that we see in the computer are calculated by the computer by calculating the infinite number of 1s and 0s in the memory.
In computer science, 0 is often used to represent a "false" Bollinger (Boolean) value. The data base of a computer is made up of binary, i.e., 0s and 1s. When a circuit transmits data, 0 and 1 represent low and high potentials, respectively. The on/off of the switch represents 0 and 1.
Natural numbers and the reason why you can't do a divisor:
Natural numbers: Historically, countries have had two rules on whether 0 is a natural number: one stipulates that 0 is a natural number, and the other stipulates that 0 is not a natural number.
Chinese primary and secondary school textbooks originally stated that the natural number set did not include 0. However, most of the mathematical circles outside China stipulate that 0 is a natural number, and for the convenience of international exchanges, the "National Standards" stipulate that the set of natural numbers includes 0.
Therefore, in our newly published textbook, according to the National Standards, the set of natural numbers is called the set of positive integers in modern times. At the same time, we also use some mathematical symbols in accordance with the provisions of the national standards.
Reasons why 0 can't be a divisor:
1: If the divisor (denominator, posterior term) is 0, and the dividend is a non-zero positive number, the quotient does not exist, this is because any number multiplied by 0 will not give a non-zero positive number, so it makes no sense to use 0 as the divisor (denominator, posterior). However, some domains are defined as infinity ( ), so 0 is considered to give non-zero positive numbers.
2: If the divisor (denominator, posterior) is 0, the dividend is also equal to 0, and it will not work, because any number multiplied by 0 will give 0, and there are infinite answers that cannot be defined.
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