Question

Prove that any number, with zeros standing in all decimal places numbered $10^n$ and only in these places, is irrational

score 405 · Answer 1 · 2020-08-26 02:53:42

Prove that any number, with zeros standing in all decimal places numbered $10^n$ and only in these places, is irrational

score 104 · Answer 2 · 2020-08-27 17:15:41

104

Views

How do I properly say .999...?

Published on 27 Aug 2020 - 17:15

score 50 · Answer 3 · 2020-08-29 18:07:18

50

Views

Decimal representation with power series

Published on 29 Aug 2020 - 18:07

score 214 · Answer 4 · 2020-09-01 03:49:10

214

Views

What percentage of positive integers, written in base 10, are composite regardless of what base they are interpreted in?

Published on 01 Sep 2020 - 3:49

score 513 · Answer 5 · 2026-03-30 00:21:22

513

Views

Is there a numeral system for real numbers that is always unique, but still has the usual convenient properties?

Published on 30 Mar 2026 - 0:21

score 355 · Answer 6 · 2020-09-11 18:27:00

355

Views

Clarification on the meaning of "number of decimal places"

Published on 11 Sep 2020 - 18:27

score 498 · Answer 7 · 2026-02-23 12:03:01

498

Views

Finding the number of digits in repunit

Published on 23 Feb 2026 - 12:03

score 249 · Answer 8 · 2020-09-15 05:53:52

249

Views

Is there a patterns in the repetend of prime reciprocals?

Published on 15 Sep 2020 - 5:53

score 200 · Answer 9 · 2020-09-17 18:33:03

200

Views

Generalizing $\,r(n^2) = r(n)^2,\,$ for $\,r(n) := $ reverse the digits of $n$

Published on 17 Sep 2020 - 18:33

score 41 · Answer 10 · 2026-03-30 13:52:28

41

Views

Associate number with leading zeros with one without

Published on 30 Mar 2026 - 13:52

score 26 · Answer 11 · 2020-09-20 21:44:54

26

Views

On the Number of Consecutive Leading $0$s in $1/N$ and $(1/N)_{b}$

Published on 20 Sep 2020 - 21:44

score 101 · Answer 12 · 2020-09-24 12:46:08

101

Views

Show cardinality between two sets $x=(0,x_1x_2x_3...)_{10}=\sum _{k=1}^{\infty }x_k 10^{-k}$

Published on 24 Sep 2020 - 12:46

score 253 · Answer 13 · 2020-09-30 09:10:30

253

Views

Is this a valid proof that $0.\overline{9} = 1$?

Published on 30 Sep 2020 - 9:10

score 71 · Answer 14 · 2020-10-02 04:10:35

71

Views

Given a number between 0 & 1, knowing that the decimal expansion terminates, how could you find out the number of decimal places?

Published on 02 Oct 2020 - 4:10

score 61 · Answer 15 · 2026-03-26 17:30:51

61

Views

Infinitely many consecutive powers with no consecutive equal digits?

Published on 26 Mar 2026 - 17:30

List Question

Prove that any number, with zeros standing in all decimal places numbered $10^n$ and only in these places, is irrational

How do I properly say .999...?

Decimal representation with power series

What percentage of positive integers, written in base 10, are composite regardless of what base they are interpreted in?

Is there a numeral system for real numbers that is always unique, but still has the usual convenient properties?

Clarification on the meaning of "number of decimal places"

Finding the number of digits in repunit

Is there a patterns in the repetend of prime reciprocals?

Generalizing $\,r(n^2) = r(n)^2,\,$ for $\,r(n) := $ reverse the digits of $n$

Associate number with leading zeros with one without

On the Number of Consecutive Leading $0$s in $1/N$ and $(1/N)_{b}$

Show cardinality between two sets $x=(0,x_1x_2x_3...)_{10}=\sum _{k=1}^{\infty }x_k 10^{-k}$

Is this a valid proof that $0.\overline{9} = 1$?

Given a number between 0 & 1, knowing that the decimal expansion terminates, how could you find out the number of decimal places?

Infinitely many consecutive powers with no consecutive equal digits?

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