Why is 22/7 considered Rational?
Jun 8, 2022
if π = 22/7 then,
why π is considered irrational and 22/7 rational?
Rational Number
A number that can be written in the form of p/q where q ≠ 0.
- Terminating Decimals — 2.45,2.789,11.764 etc.
- Non-Terminating and Recurring Decimals — 2.45555……, 23.2343434……
Irrational Number
All Non-Terminating and Non-Recurring Decimals are considered irrational numbers.
- √All nonperfect squares — √2, √3, √5, √7, etc
- 3√All nonperfect cubes— 3√2, 3√3, 3√4, 3√5, etc
Now,
According to the above explanations, 22/7 is [non-terminating and recurring] which is the approximate value of π(pi) not the Exact Value.
that is why 22/7 is considered rational.
and the Exact value of π(pi) irrational.