Why does pi never end or repeat?

Answer 1

Because again, π is an irrational number. Irrational numbers have that property. If a decimal terminated or repeated, then we could write it as a fraction.

As for how we know that π is irrational, it was mathematically proven some time in the 18th century. The proof isn't exactly short, but anybody who learns the math can review it and see that it's sound.

Answer 2

Pi is a special type of irrational number called a transcendental number. That means there is no equation that pi is the solution to. A rational number can be expressed as a fraction, an irrational number is like the square root of 2. However, the square root of 2 is a solution to the equation x^2 - 2 = 0. There are at least 15 transcendental number, e and phi being the most common ones.

Answer 3

This is a good question and really has no actual answer

There have been a number of proofs to show that π cannot be expressed as a fraction and is therefore irrational.

By definition an irrational number is a never ending and non- recurring decimal.

Sorry, I can say no more to explain why.

Answer 4

Tough to say why, but most numbers have the same property as pi--they never end or repeat.

Answer 5

It's an irrational number and all irrational numbers are like that

Answer 6

it is an irrational number meaning that its value is infinitely complex when expressed in our number system

Answer 7

To test our Patience for pursuit of perfection in being precise.

3.14159265358979.................

Man, I can't believe my math teacher made me memorize this back in my student years. Thanks. Mr. Wei.