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The decimal digits of Pi never end; they continue infinitely. The digits also will never repeat. These are characteristics of Irrational Numbers. Rational numbers have decimal fractions that either come to an exact end, or they fall at some point into an infinitely repeating pattern. 1/5 equals .25 exactly, and 1/3 has a repeating decimal fraction of .3333_.
So far pi has been calculated out to at least 2.7 trillion decimal places, and since irrational numbers go on for infinitely many decimal places, we are nowhere near the end (and never will be, however hard we try). To keep things in perspective, by the time you reach 6 or 8 decimal places, you have pi to a tolerance good enough for almost any application we could ever imagine using on a practical level. If we ever need more decimal places than 8, we can go to the above calculation where there are a few waiting in the wings.
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What kind of decimal that does not end or repeat?
An irrational number, for example pi or e or the square root of 2
Why is pi rational?
Pi is not rational it is irrational because it does not stop or repeat
Does pi ever end?
Pi is a mathematical constant that is the ratio of a circle's circumference to its diameter and is approximately equal to 3.14159. People have been trying to figure out the answer to this question for literally thousands of years. The great pyramid is considered evidence that the Ancient Egyptians were aware of Pi. The earliest written approximations of π are found in Egypt and Babylon, dated around 1650 BC. You must first understand that Pi is considered an irrational number. Being an irrational number, Pi cannot be expressed exactly as a ratio of any two integers. The decimal expansion of Pi cannot come to an end, and it cannot repeat - according to theory. As of late 2011, Pi has been calculated to over 10 trillion (1013) digits, and so far all the digits from 0 to 9 appear just about as equally often. Interestingly however, the extensive calculations involved have been used to test supercomputers and high-precision multiplication algorithms. The official answer? No, it does not end. Pi is a circle. A circle goes around and around, there is no end. To get an end point you would need to square it. You cannot square a circle, because then it is a different size and shape.
Is pi irrational?
Pi is an irrational number. That means that it never stops and will never repeat itself. The first 85 decimals without rounding are 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280...
Does pi repeat?
"...although many mathematicians have tried to find it, no repeating pattern for pi has been discovered..." (http://mathforum.org/dr.math/faq/faq.pi.html).
