perplexus.info :: Numbers : Preperiod and Period Poser

Preperiod and Period Poser (Posted on 2023-06-09)

If (a,b)ε(0,1), then:

a/b
=               _________________
0.a₁a₂.........a_nb₁b₂...........b_m
    Preperiod      Period

Determine the respective lengths of the preperiod and the postperiod of (10!)^-1

*** Computer program/excel solver methodologies are welcome, but a semi-analytic (hand calculator and p&p) methodology is preferred.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Nitpicking

| Comment 2 of 3 |

In general,

1) a/b starts with 0. if and only if a < b

2) a/b has a period if and only if a/b is rational

3) a/b might have a preperiod of zero length

Posted by Steve Herman on 2023-06-09 17:49:42

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