0 is not the reason of reciprocal: when the product of two numbers is 1, two numbers are reciprocal. Multiply 0 by any number to get 0. It is impossible to find that the product of a number and 0 is 1, so 0 cannot be the reciprocal of any number.
Reciprocal is a mathematical term, and pinyin is dào shù. Mathematically, it means that the product of a number x multiplied by it is 1, which is recorded as 1/x, and the process is "multiplication inverse". All numbers except 0 have reciprocal, and the numerator and denominator, in turn, are the reciprocal of 1, and 0 has no reciprocal.
Reciprocal/multiplicative inverse is a mathematical term, and the pinyin is dào shù. Mathematically, it means that the product of a number x multiplied by it is 1, and it is recorded as1/X. The process is "multiplication inverse", and all numbers except 0 have reciprocal. The numerator and denominator are inverted, the number whose product is 1 is reciprocal, and 0 has no reciprocal.
In number theory, there is also the concept of reciprocal of number theory. If the product of two numbers A and B is 1 with respect to module M, then they are called the reciprocal of number theory with respect to module M. ..
Number theory reciprocal:
So 3 is the reciprocal of 2, which is about 5. The reciprocal of number theory is very important in China's remainder theorem. The alternate division provides a method to calculate the reciprocal of number theory. There are concepts such as group, field and ring in modern algebra, in which abstract multiplication operation and unit element are defined. Similarly, if there is a multiplication inverse, its multiplication can also be regarded as reciprocal.
The capital of 0 is: zero. Because there are many strokes of "zero", there are other ways to write it: zero, indicating the vacancy of a number, is used in numbers, and is mostly used to indicate the page number or year, such as 108, 1990.
0 is an extremely important number, and the concept of 0 has existed in other regions for a long time. In 3000 BC, the Babylonians knew how to use zero to avoid chaos. In ancient Egypt, as early as 2000 BC, some people used special symbols to record zeros in bookkeeping. Maya civilization first invented the special font 0. In Mayan numerals, 0 is represented by a pictographic symbol like a shell.
The standard number 0 was invented by ancient Indians around the 5th century. They first use black dots to indicate zero, and then gradually become "0".
In eastern countries, mathematics is mainly based on operation (in the west, all numbers can be written with 9 Indian numbers and 0 Arab symbol).
When zero was introduced to the west, it once caused confusion in the west, because at that time, the west thought that all numbers were positive numbers, and the number 0 would make many formulas and logics untenable (such as dividing by zero), and even thought it was a devil's number, so it was banned. It was not until about 15 and 16 that zero and negative numbers were gradually recognized by westerners, which led to the rapid development of western mathematics.