There are some numbers in mathematics, no matter how deep you go down, we cannot fully grasp. The number of pi, which we call “infinite, is one of them.
How come this number ends in an endless state? Are new steps emerge as we continue to calculate?
First of all, let’s understand your mathematical nature.
The number of pi (π) is the ratio we obtain when we divide the surrounding circle into diameter (2πr). With the large or small of an apartment, the number of pi that does not change is a fixed number for each apartment.
We can also say; The Pi is the ratio of the diameter of a circle, which is fixed independent of the size of the circle. However, when we look at the decimal expansion of the number, a different situation occurs.
Rational numbers are certainly in a regulation.
The fractions for 1/8 stops after a few steps (0.125) or 4/7 fractions have a certain repetitive pattern (0,571428571428…).
However, there is no such system in the number of pi. Its decimal opening shows without a system, randomly distributed and does not contain no repetition sequences.
Let’s fall a small note; This feature was shown in 1768 by Swiss mathematician Johann Lambert, who proves that Pi is an irrational number.
In addition to irrational, a “open -ended” number.
We mean the “open -ended” number; As the calculations continue, the steps progress forever. In today’s calculations, Pi’s 62.8 trillion step has been reached, but it is not possible to reach its full value.
In summary; We know that the number of pi is infinite, that it is an irrational number. Mathematically proved that Pi is a kind of number that cannot be written in the form of fraction (a/b) and cannot repeat the decimal expansion without a system.
No regulations have been found in the billions of stages calculated to date. Which confirms that it is endless.