So the final answer is 25 big monks and 75 little monks. You don't need a column equation to get the answer.
Extended data:
Arithmetic is a branch of mathematics, including natural numbers, properties of various operations, operation rules and practical applications. However, in the history of mathematical development, the meaning of arithmetic is much broader.
In ancient China, it was a bamboo computing device. Arithmetic refers to the technology of operating this computing device, and also refers to all the mathematical knowledge related to calculation at that time. The word arithmetic officially appeared in Nine Chapters of Arithmetic. The Nine Chapters Arithmetic is divided into nine chapters, namely Tian Fang and Su Mi, which are mostly practical names.
For example, "square field" refers to the shape of land, and the calculation of land area belongs to the scope of geometry; "Millet" is a synonym for grain, which talks about the exchange of various grains, mainly involving proportion, and belongs to the arithmetic category. It can be seen that "arithmetic" at that time refers to the whole of mathematics, which is different from the modern meaning.
It was not until the Song and Yuan Dynasties that the word "mathematics" appeared. In the field of mathematicians, mathematics and arithmetic are often used together. Of course, the mathematics here only refers to the mathematics in ancient China, which is different from the mathematical system in ancient Greece, and it focuses on the study of algorithms.
From19th century, some western mathematics disciplines including algebra and trigonometry were introduced into China. Western missionaries mostly used mathematics, Japanese later used the word mathematics, and China still used "arithmetic" in ancient arithmetic. 1953, chinese mathematical society established a committee to examine mathematical terms, and defined the meaning of "arithmetic", but arithmetic and mathematics still coexist. 1937, Tsinghua University also had a "computing department". 1939, in order to unify, a special "mathematics" was determined. ?
Production and development
Arithmetic comes from the understanding of quantity. As for the generation of arithmetic, we should start with numbers. Numbers are used to express and discuss quantitative problems. There are different types of quantities and also different types of numbers. As early as the initial stage of ancient development, due to the needs of human daily life and production practice, the simplest concept of natural numbers came into being in the initial stage of cultural development.
One of the characteristics of natural numbers is that they are composed of inseparable individuals. For example, two things, a tree and a sheep, if two trees are in tandem; If there are three sheep, it is one, one after another. But you can't say that there are half trees and half sheep. Half a tree or half a sheep can only be counted as wood or mutton at best, but not as trees and sheep.
There are different relationships between numbers. In order to calculate these numbers, there are methods of addition, subtraction, multiplication and division. These four methods are four operations.
The oldest mathematics, arithmetic, is formed by accumulating and sorting out the properties of numbers and the experience of four operations between numbers in the application process.
During the development of the algorithm, many new problems are raised due to the needs of practice and theory. In the process of solving these new problems, ancient arithmetic has been further developed from two aspects.
On the one hand, in learning the four operations of natural numbers, it is found that only division is more complicated, some can be divided, some can be divided, some cannot be decomposed, some are greater than the common divisor of 1, and some cannot. In order to seek the laws of these numbers, it has developed into an independent branch of mathematics, called integer theory or elementary number theory, which specializes in the properties of numbers and is independent from ancient arithmetic, and has made new development in the future.
Arithmetic, on the other hand, discusses various types of application problems in ancient arithmetic and various solutions to these problems. In the long-term research, it will naturally inspire people to seek general methods to solve these application problems. That is to say, can we find a universal and more universal method to solve the same type of application problems, so we invented abstract mathematical symbols, which developed into another ancient branch of mathematics, namely elementary algebra.
With the development of mathematics, arithmetic is no longer a branch of mathematics. What we usually call arithmetic is only a teaching subject in primary schools. The purpose is to enable students to understand and master the most basic knowledge about quantitative relations and spatial forms, correctly and quickly perform the four operations of integers, decimals and fractions, initially understand some of the simplest ideas in modern mathematics, and have preliminary logical thinking ability and spatial concepts.
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