Reciprocal is a mathematical term, which means that the product of a number x multiplied by it is 1, which means that 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.

Countdown with scores. First, turn the fraction into a false fraction, then switch the numerator and denominator, which is the reciprocal of the number. In advanced mathematics, complex numbers also have reciprocal, for example, the reciprocal of I is-I.

brief introduction

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.

In number theory, there is also the concept of reciprocal of number theory. If the product of two numbers A and B is 1 relative to the module M, then we call them the reciprocal of number theory relative to the module M ... for example, 2*3= 1(mod5), so 3 is the reciprocal of number theory about 5 of 2, and 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.

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