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Mathematical rope separation
All practical scales have errors, and so do theories.

This is the difference between an armchair strategist and reality. 10 meter is just a mathematical concept, which is artificially defined. You can also define it as12m, which is just a mathematical (numerical) code. There is no need to struggle. The rope is a real thing. You can call it as many meters as you want. This is a false proposition. Just like a year is 365 days, it is defined by the revolution of the earth. In fact, it can be expressed in other ways, so there will be a leap month. But our calculation method is unscientific, and we can't say that the rope is divided into three parts unscientific. The pattern and height of the problem.

A rope 10 meter long, if measured with a ruler, can't be divided into three points on average. In fact, we can change the question, how to divide a line segment into three parts equally? Of course not. Is there any good way to use other graphics?

Why do some people associate mathematics with real life? Most of the mathematics and physics we learn take place in an ideal environment that is divorced from reality. A 10 meter rope is divided into three equal parts? First of all, you can't find 10 rope in your life, let alone divide it into three equal parts. Therefore, it is impossible to divide the rope of 10 meter into three equal parts in life. But mathematically, the rope of 10 can be abstracted into a line segment with the length of 10 meter on the number axis, and the points on the number axis represent real numbers, so it is natural to divide the line segment of 10 meter into three equal parts.

There is still a difference between mathematics and geometry. From a geometric point of view, any length can be equally divided. When you use mathematics to express your equal length, you will think that the so-called 3.3333 is not equal, because of the mathematical expression and the carry system you use. But, think about it, how can there be endless cycles or acyclic numbers? ?

By the way, this is the expression specified in the carry system, that is, the side length of 1/3L is defined as 0.33333L Similarly, there is no problem that a non-multiple of 3 cannot be divisible by 3, and there is no problem that an equilateral triangle with a side length of 10 is actually unequal.

1 contains three-thirds. 1/3 is a rational number with no error. Integer is not the whole world, which is a problem solved by ancient Greek mathematics. Even irrational numbers and equilateral right triangles can be drawn accurately. Of course, the combination of rational numbers and irrational numbers is not the whole world, followed by calculus and so on. You are struggling with this problem, which shows that you can only count and don't know math at all.

First, there is no problem in sharing a rope equally, and it is a fixed value. Secondly, the irrational number obtained by decimal algorithm is only an expression, which has nothing to do with the fixed value of rope length. Third, there are many ways to express this fixed value. For example, 10 meter can be said to be three feet, one third of ten meters, exactly one foot.

I really don't understand what I said. It's so simple, why is it so complicated? Everything can be divided equally, but it depends on what unit is used. Numbers are just a way of counting things, which is invented by human beings. Why is there a natural number of 1- 10? I think it's because humans have ten thumbs in one hand and ten toes in one foot. Raw, right? What if human beings have only eight thumbs and toes in one hand and one foot? Or 12? Let's see which number is not divisible.

It's not that complicated. For example, a bowl of noodles 10 yuan, but the exchange rate between RMB and US dollar is not an integer ratio. Is it true that I can never buy this bowl of noodles with US dollars equivalent to 10 yuan RMB? Similarly, 1 mile and 1 kilometer are integers, but the proportions are different. There are two different expressions of the same road section, one is separable and the other is inseparable. Is this the problem in the problem? Then who made the mistake? So in the final analysis, in a word, first understand the definition of mathematics, and then learn high school philosophy. Problem solved.

I have a question: if a rope is extended three times, then the whole rope can obviously be divided into three parts. But if we regard the whole rope as a whole 1, can it be divided into three parts (1 divided by 3 is infinite)? Or put it this way: I'll give you a rope (I didn't tell you in advance that this rope is connected by three ropes of the same length). Would you please divide it into three parts?

Yes, but you can't. It is good that you can be accurate to the millimeter, but there is still a long way to go. Numerically speaking, it is impossible to divide it into three equal parts, only three equal parts.

This is the difference between an armchair strategist and reality. 10 meter is just a mathematical concept, which is artificially defined. You can also define it as12m, which is just a mathematical (numerical) code. There is no need to struggle. The rope is a real thing. You can call it as many meters as you want. This is a false proposition. Just like a year is 365 days, it is defined by the revolution of the earth. In fact, it can be expressed in other ways, so there will be a leap month. But our calculation method is unscientific, and we can't say that the rope is divided into three parts unscientific.

The pattern and height of the problem. This is a combination of theory and practice. It is theoretically impossible to divide a one-meter-long rope into three sections. In fact, can you be sure that the real rope is one meter? Only close to one meter. In addition, if the rope is divided into three sections, it is actually close to 1/3.