For example, 1/6 is decomposed into the difference between two fractions:1/6 =1/2-1/3. The key of fraction splitting method is to find the greatest common divisor of numerator and denominator of fraction, and then decompose it into several simple fractions. This method can simplify the calculation and improve the efficiency of solving problems.
Split term method, which is the concrete application of the idea of decomposition and combination in the summation of series. It is to decompose each item (general item) in the sequence, and then recombine it, so that it can eliminate some items and finally achieve the purpose of summation. The relationship between multiples of general term decomposition (split term). Usually used in algebra, fractions, and sometimes integers.
The function and significance of mathematics;
1. Solving practical problems: Mathematics is a tool that can help us solve many practical problems, such as calculating costs, solving geometric problems, making statistical analysis and forecasting.
2. Cultivate thinking ability: Mathematics is an effective way to cultivate thinking ability. By studying mathematics, we can exercise our logical reasoning ability, abstract thinking ability, imagination and creativity, and improve our ability to solve problems.
3. Promote the study of other disciplines: Mathematics is the foundation of many other disciplines, such as physics, chemistry and computer science. Mastering the basic knowledge of mathematics is helpful for us to better understand and apply the knowledge of these subjects.
4. Application in society: Mathematics has a wide range of applications in society, such as finance, economy, engineering, science and medicine. In these fields, mathematics is used to analyze and solve problems, which provides more convenience and guarantee for our lives.