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The point representing 8.75 on the straight line lies between integers.
The point representing 8.75 on the straight line lies between integers 8 and 9, where 8 is an incomplete integer part and 9 is a complete next integer.

On a straight line, every number is a point. For example, the corresponding points of 8.75 on a straight line are 8, 7.5. The integer part is 8 and the decimal part is 0.75. Assuming that the integer part is A and the decimal part is B, according to the topic, we can establish the following mathematical model: the integer part a=8 and the decimal part b=0.75. Now we need to find out the relationship between A and B, and the integer part a=8.

Mathematics related knowledge is as follows:

1. Mathematics is a subject that studies concepts such as quantity, structure, change and space. It is basic, abstract and widely used. Mathematics plays a very important role in the development of human civilization. It not only has a direct impact on natural science and engineering technology, but also has a wide range of applications in social science, economy, finance and other fields.

2. Learning mathematics requires mastering basic mathematical concepts, principles and algorithms, including arithmetic, algebra, geometry and probability theory. By studying mathematics, we can better understand the relationship between quantity, space and change, and cultivate our logical thinking ability, abstract thinking ability and problem-solving ability.

The development of mathematics can be traced back to ancient times. Ancient Egypt, ancient Greece, ancient India and other civilizations have their own mathematical achievements. Modern mathematics began to develop during the European Renaissance in the17th century. Marked by the work of Newton, Leibniz and others, they invented calculus and established a classical mechanical system.

Since the 20th century, mathematics has experienced many important developments and changes, including the emergence of new theories and methods such as non-Euclidean geometry, group theory, set theory and graph theory, and the new challenges and opportunities brought by the rapid development of computer science. Mathematics has a wide range of applications, including natural science, social science, economy, finance and other fields.

5. In natural science, mathematics is widely used in basic theory and experimental research of physics, chemistry, biology and other disciplines; In social sciences, mathematics is used to solve various quantitative problems, such as economics and sociology. In the financial field, mathematics is an indispensable tool for risk assessment, investment decision-making and quantitative trading.