Ecstatic day Pi! We celebrate Pi on March 14, because 3-14 gives the first three digits of this famed number. But what is Pi? Why does he have a day? To start with defines The simplest, most perfect shape, wheel. So it’s everywhere around you. PI is the relationship of the circuit to the diameter of the circle: P = C/D.
No matter how gigantic or compact there is a circle, this attitude is always the same. In decimal notation it is 3,141592653 … aa and you can throw it away as far as you want, because it is an irrational number and never, never, never, never, never, never, whenever ends.
What do people do – what are calculators if you press P The button – will choose a certain number of decimal places, depending on the required precision and round to this number. This is not really pi, but you can say … it is piece Pi. (I’m sorry, but every story PI requires playing.)
Irrational is so irrational
Being infinitely long in itself does not make irrational numbers. For example, let’s say you have a rectangle that measures 4 by 11 meters. The ratio of sides, 4/11, equals 0.36363636 … This number is also unlimited, but it is in line with the formula. With irrational numbers is without repetition.
The real distinction is such rational The numbers can be saved as the ratio of two integers. (Get this “attitude.), And the coefficients are the same as fractions. So:
It is also so that each finished decimal number, no matter how long can be expressed as the ratio of two integers. (Which is quite amazing in itself.) Irrational numbers, on the other hand, cannot be expressed in a fractional form.