Is pi a whole number in a different base?

Is pi a whole number in a different base?

Finally pi is irrational (how we know this is a separate discussion), but just like all irrationals it is a non-terminating non-repeating “decimal” in every base.

What is pi in number system?

When starting off in math, students are introduced to pi as a value of 3.14 or 3.14159. Though it is an irrational number, some use rational expressions to estimate pi, like 22/7 of 333/106.

How do you write numbers in different bases?

This is consistent with base 10 numbers, where we use digits 0-9. For smaller bases, we use a subset of these digits. For example, in base 5, we only use digits 0-4; in base 2 (which is also called binary), we only use the digits 0 and 1. For larger bases, we need to have single digits for values past 9.

In what base is pi a whole number?

The only bases in which it will be a whole number are bases, which when multiplied, even by 1, results in pi. That is pi, pi/2, pi/3, pi/4, … Otherwise it’ll always be a fraction.

Is pi rational in a different base?

A rational number is a number that can be expressed as the ratio of two integers. Pi can’t be expressed as a ratio of two integers. Pi is irrational. It has nothing to do with the base.

What is pi in Duodecimal?

Duodecimal (base-12) pi: 3.18480 9493B 91866 4573A 6211B B1515 51A05 72929 0A780 9A492 74214 0A60A 55256 A0661 A0375 3A3AA 54805 64688 0181A 36830 . . .

Why do we learn to work with numbers in different bases?

Rather, those words and letters are translated into numbers. This means that computers understand only numbers. By studying other number systems such as binary (base 2), quaternary (base 4), octal (base 8), hexadecimal (base 16) and so forth, we will gain a better understanding of how number systems work in general.

What is pi in base 11?

Undecimal (base-11) pi: 3.16150 70286 5A48 . . .

Does pi repeat in other bases?

And for natural numbers, Matthew’s answer applies: yes, pi (and every irrational number for that matter) has infinitely many numbers with no repeating pattern for every natural number base.