Real and Non-real Numbers; Value of Zero? [closed]

There are some things I can not understand. I know that zero is real, but I am confused about the method and the reason. What is the definition of real numbers compared to numbers considered non-real numbers? What is the reason why zero is practical? What if we assume that the value of zero is infinite?

What is the purpose of zero? Obviously, it is used as a placeholder, but what is its value? How is it different from other numbers? I realized that it was usually exchanged for something, but technically it means zero is not - and that is not true. People have repeatedly told me that zero does not necessarily mean anything. So, what I want to know is the actual value associated with zero.

But my question raises another issue that has been discussed and debated for many years. Divide by zero or zero. There are various answers to this, but what does not change in all respects is that people insist that 0/0 is not a real number. So, why would I ask, why is zero considered to be real, not 0/0? Why is it initially considered unrealistic? Yes, there is no clear value, but the expression is meaningless; if so, there are not so many people trying to understand. What I would like to understand is the reason why the expression is classified as non - real, especially if there is no obvious value, but unique zero is true.

Because this covers a few different things, I do not know how to raise the title of these questions. I'm sorry. However, I am very grateful if someone can answer.

The general structure of this real set is that Dedekind completes the collection of rational numbers. Real numbers are defined as the rational part of Dedekind. It is a collection of rational numbers that are not empty and does not contain the largest element. The sum of real numbers a and b is defined for each element. This definition was first published in 1872 by Richard Dedekind in a slightly modified form. The correlation between the actual addition and the correlation is immediate and if you define the real number 0 as a negative rational number set, it makes it easy to see that it is an additional identity element. The most tricky part of this structure related to addition is the definition of the addition inverse matrix.

There are some things I can not understand. I know that zero is real, but I am confused about the method and the reason. What is the definition of real numbers compared to numbers considered non-real numbers? What is the reason why zero is practical? What if we assume that the value of zero is infinite? What is the purpose of zero? Obviously, it is used as a placeholder, but what is its value? How is it different from other numbers? I realized that it was usually exchanged for something, but technically it means zero is not - and that is not true. People have repeatedly told me that zero does not necessarily mean anything. So, what I want to know is the actual value associated with zero.