First, the answering process

According to the definition, the reciprocal of ten is110, that is:

x = 1/ 10

Answer: [{x: 0. 1}]

So the reciprocal of ten is 0. 1.

Second, what is the reciprocal in mathematics?

Reciprocal is a mathematical term, which means that a number multiplied by a number x is 1, and it is recorded as 1/x, and the process is "multiplication inverse". All numbers except 0 have reciprocal, the numerator and denominator are inverted, the two products of 1 have reciprocal, and 0 has no reciprocal.

How many reciprocal of a number depends on the product of the numerator and denominator of this number.

For the fraction a/b, its reciprocal is b/a.

If a and b are both positive numbers, then a/b and b/a are reciprocal.

If both a and b are negative numbers, then a/b and b/a are reciprocal.

If a or b is 0, then this number is not reciprocal.

Therefore, the reciprocal of a number may or may not be 1 or 2.

The source of reciprocity

First of all, the field of mathematics

Reciprocal originated in the field of mathematics, especially in the process of solving equations and calculating products. In medieval Europe, mathematicians began to use the concept of reciprocal to simplify calculations. For example, when solving the product of a fraction, the numerator and denominator can be multiplied by a reciprocal at the same time, thus converting the fraction into an integer, which is convenient for calculation.

Second, the physical field.

Reciprocal is also widely used in physics. In mechanics, the concept of reciprocity is used to describe the motion state and interaction of objects. For example, according to Newton's second law, the acceleration of an object is directly proportional to the acting force and inversely proportional to the mass. So the mass can be regarded as the reciprocal of the force, which simplifies the calculation.

Third, the invention of fractions.

The original origin of the concept of reciprocal can be traced back to the invention of the concept of fraction. In ancient Egypt and Greece, mathematicians began to use fractions to describe the whole of parts. However, people at that time did not realize the concept of reciprocal score. It was not until the Middle Ages that European mathematicians began to use reciprocal to simplify calculations and incorporated this concept into the definition of fractions.

Therefore, the concept of reciprocal score can be regarded as an important part of the original source of reciprocal.