Is Pi Finite?

Answer 1

No it's not a finite number!!!!!

It is an infinite non-recurring number.

This is calculated by looking at Pi to see if it can be expressed as a vulgar fraction instead of a decimal.

3/4 is the same as 0.75.....finite number as the decimal finishes after a certain point!!

6/7 is equal to 0.857142857142857142.......this is known as an infite recurring number as the digits are repeated in the same order (857142) over and over again.

Pi has no known end and there is no identified repeat pattern in the numbers, it is therefore known as a non recurring infinite number!!!!!

Just looked at this as part of my maths degree at university so I have had expert knowledge on it for the last 6 weeks!!!!

the secret to finite numbers is that when they are expressed as a fraction, the denominator is always a mulitple of 2 or 5!!!! if it is not the number cannot be finite.

Answer 2

Absolutely.

Pi is finite because there are numbers greater than Pi. Four is greater than Pi. QED.

Pi has an infinitely long representation in the decimal number system, but that is because Pi is an irrational number and has nothing to do with being infinite. You can never stop writing "Pi" in decimal because there's no way to add up integer multiples of integer powers of ten to exactly match Pi. You'll always be a teensy bit over or a teensy bit under. However, accuracy has nothing to do with magnitude.

Answer 3

Pi is finite, but it is an irrational and a transcendenal number.

A quick argument goes something like this:
Pi is greater than 3, and less than 4, and 3 and 4 are finite numbers, so Pi is finite, being between two finite numbers.

Pi is not a rational number, and it is not an integer.

Answer 4

Of course! Pi is greater than 3 and less than 4. It is a finite number.

It is not, however, a rational number, thus it cannot be expressed using a finite number of digits.

Answer 5

Finite in what sense?

If you mean finite for digits after the decimal, then PI is infinite in that sense.

Answer 6

I like Tedfisch's answer (see above) which states that it MUST be finite as it is greater that 3 but less that 4.
However, mathematics know no boundries and as we can have infinitly large numbers/spaces so can we have infinitly small numbers/spaces.
That is to say that the space between 3 and 4 can be divided into infinitly small spaces which we describe with numbers..
Therefore, PI is infinite as well as finite.
It's rather like Schrodingers cat which can exist and not exist, be alive and dead at the same time.
The infinitly small can be studied further using Quantum theory
which, despite popular belief, is not to do with large but concerns itself with the small.
Another study, if you really want to make your brain ache, is to go to this link and compare and contrast PI to PHI and find a correalation using the Fibonacci sequence and the Golden Rule; 1.618.
The link is:
http://goldennumber.net/index.htm
Sorry, I should have added that the thorists who say no because it recurrs must remember that it recurrs infinitly!!!

Answer 7

Pi is an irrational number, which by definition means it cannot be expressed as m/n where m and n are any two integers.

The upshot is that Pi has an infinite number of decimals, just like sqrt(2).

Answer 8

No way, Hozay. It's an irrational number, which is a decimal that goes on infinitely without pattern. Can you believe they test computers' processing speeds by having it calculate millions of decimals of pi?

Answer 9

the beauty of pi, at least to some, is that it never ends. it is infinite, so they say and i do believe them.

e is another such number.

so, the universe, pi and e are all infinite.
but the number of breaths of air left that you and I will take is finite.

Answer 10

If you mean finite in the sense that the numbers after the decimal point, then no... it is infinite.