Question

is an irrational
$\pi is an irratioal number but why its value \frac{22}{7} or 3.14 are rational$
number
but why its value or 3.14 are ration
al​

Answer 1

Explanation:

22/7 is a rational number as is defined a ratio of 2 integers (non-zero denominator).

Many people confuse π with 22/7. We are taught in schools that π=22/7. What they should actually teach is π≈22/7. π is irrational. It cannot be represented as a ratio of 2 integers(with non zero denominator).

π = 3.14159265358979323846…(irrational i.e. non-terminating non-terminating real number)

22/7 = 3.142857 142857 142857…(rational, in this case recurring rational number)

22/7 is just an approximation of π. It is used to simplify the problems and achieve a result as less deviated as possible.

Following are some more approximations that are get closer to the value of π:

333/106, 355/113, 103993/33102, 104348/33215