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Is it possible that pi is finite?

Posted on October 18, 2020 by Author

Table of Contents

  • 1 Is it possible that pi is finite?
  • 2 Is pi infinite in all bases?
  • 3 What is Pi in octal?
  • 4 Why is Pi not an irrational number?

Is it possible that pi is finite?

Pi is finite, whereas its expression is infinite. Pi has a finite value between 3 and 4, precisely, more than 3.1, then 3.15 and so on. Hence, pi is a real number, but since it is irrational, its decimal representation is endless, so we call it infinite.

Is pi a finite or infinite number?

irrational
Pi is an irrational number, which means that it is a real number that cannot be expressed by a simple fraction. That’s because pi is what mathematicians call an “infinite decimal” — after the decimal point, the digits go on forever and ever.

Do we know if pi is infinite?

Many people know that the value of Pi is roughly 22 divided by 7, which is around 99.96 per cent accurate – plenty good enough for most practical purposes. By showing that Pi is not a rational number, Lambert revealed that its decimal value neither stops nor cycles – but just carries on to infinity.

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Is pi infinite in all bases?

The same principle hold for all integer basis so all numbers that have a finite expansion must be able to be expressed as a ratio of integers and in turn be rational. Pi is irrational and therefore can not be finite in any integer basis.

How did Archimedes find pi?

Archimedes’ method finds an approximation of pi by determining the length of the perimeter of a polygon inscribed within a circle (which is less than the circumference of the circle) and the perimeter of a polygon circumscribed outside a circle (which is greater than the circumference).

Is pi transcendental in all bases?

Originally Answered: Does the value of pi in bases other than base 10 have infinite digits too? Clearly, there is no integral base in which pi has a finite expansion. Pi is transcendental hence irrational. It cannot even have an expansion which is eventually cyclic.

What is Pi in octal?

Octal (base-8) pi: 3.11037 55242 10264 30215 14230 63050 56006 70163 21122 01116 02105 14763 07200 20273 72461 66116 33104 50512 02074 61615 . . .

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How far can pi be calculated?

A Supercomputer Just Calculated Pi to a Record-Breaking 62.8 Trillion Digits. So What? It sounds impressive, but we asked a mathematician why we should care. Researchers have set a new record for calculating digits of pi: 62.8 trillion decimals.

Is Pi a finite number?

First, I presume that by “pi is finite”, you mean that it can be expressed using a finite number of digits in a decimal representation. (The word “finite” usually means finite in magnitude, which pi certainly is, as it is a rather small number, barely bigger than 3, certainly less than 4.)

Why is Pi not an irrational number?

The reason for this is that all irrational numbers are infinite. Pi belongs to a group of transcendental numbers. Meaning, it is not a root of any integer, i.e., it is not an algebraic number of any degree, which also makes it irrational.

How many times does Pi go from 0 to 9?

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Unfortunately, to this day it has not even been proven whether every single digit from 0 to 9 occurs an unlimited number of times in pi’s decimal representation (so, after some point, pi might only contain the digits 0 and 1, for example).

Does Pi contain all the answers to all the questions?

As Pi contains an infinite series of numbers with the given that it contains everyone birth date, my DNA series, the number of cells in my body etc I speculate that it also contains all the answers to any questions you could imagine.I’m in the infancy stage of learning how to digitize the questions, at the same time develop the language.

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