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Because it has been proven to be an irrational number. And an irrational number cannot have a terminating or recurring decimal representation.

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Q: Why does pi continue infinitely?
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Continue Learning about Other Math

What are the addends of 27?

There are infinitely many. For example: (17+pi) and (10-pi)


What is the answer to 3.149?

Pi * * * * * No it is not. Apart from the fact that pi is an irrational number and so its decimal representation is infinitely long, pi is approximately 3.14159 - not quite the same as 3.149!


Does pie equal exactly 3?

No it does not exactly equal 3. Pi (that's how you spell it in math terms) exactly equals 3.14159265*just a note Pi does not in fact equal exactly 3.14159265 it is an irrational number therefor has no exact value although its decimal places will continue infinitely :)


All of the numbers of pi?

It's not possible to list "all" the numbers of pi, because it goes on infinitely and does not repeat. Here is pi to 50 decimal places, which is more than enough for most calculations: 3.1415926535897932384626433832795028841971693993751


Does pi ever repeat or end?

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.

Related questions

Why does a pi continue infinitely?

Because like all other irrational numbers it cannot be expressed as a fraction


What are the addends of 27?

There are infinitely many. For example: (17+pi) and (10-pi)


Why is it called pi day?

Pi day is celebrated on March 14, or 3/14. This is in reference to pi, the ratio between circle's circumference and its diameter. It is an irrational number, meaning the digits after the decimal continue infinitely without any repeating patterns. It is often rounded to 3.14.


What if the value of pi?

Pi extends infinitely. Generally, it is referred to as 3.14 or 3.14159, but in reality, it never ends.


What is the answer to 3.149?

Pi * * * * * No it is not. Apart from the fact that pi is an irrational number and so its decimal representation is infinitely long, pi is approximately 3.14159 - not quite the same as 3.149!


Does pie equal exactly 3?

No it does not exactly equal 3. Pi (that's how you spell it in math terms) exactly equals 3.14159265*just a note Pi does not in fact equal exactly 3.14159265 it is an irrational number therefor has no exact value although its decimal places will continue infinitely :)


How many digits are there in all numbers inclusive from 1 to 1000?

Infinitely many. The number pi , for example, is between 1 and 1000 and, since pi is a transcendental number, it contains infinitely many digits. Plus, there are all the irrational numbers - each with infinitely many digits, and all the rationals with recurring decimals - again with infinitely many digits.


Can cosine graphs continue infinitely in either direction?

Yes.


Is -4.256 rational?

yes. it has a definite end to it; that is, it does not continue infinitely.


How many 'f's are there in pi?

In base 10, there are none. In base 16 or higher, there are infinitely many.


What is pi in numerals?

The value of pi is the circumference of a circle divided by its diameter and it is an irrational number hence:- pi = 3.141592654 ...... to infinity


Irrational numbers between 1 and 2?

pi -- 2