Approximation for the infinite counting decimal Somewhere between the real number range, there exists a decimal that 'counts' natural numbers infinitely on its digits as: 0.123456789101112131415161718192021......... It goes on 'counting' forever. It is an irrational number, so I'd like to find a close approximation of it (for about 30+ digits for example) like the PI approximation (22/7) One last question for fun: Is that number has been given a name before?

Sariah Mcguire

Sariah Mcguire

Answered question

2022-10-20

Approximation for the infinite counting decimal
Somewhere between the real number range, there exists a decimal that 'counts' natural numbers infinitely on its digits as:
0.123456789101112131415161718192021.........
It goes on 'counting' forever.
It is an irrational number, so
I'd like to find a close approximation of it (for about 30+ digits for example) like the PI approximation ( 22 / 7 )
One last question for fun:
Is that number has been given a name before?

Answer & Explanation

relatatt9

relatatt9

Beginner2022-10-21Added 12 answers

This number is called the Champernowne constant Some of it's approximation is
10 81 = 0. 123456790 ¯
An even better approximation is
60499999499 490050000000

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