Number times Recurring Part of Reciprocal gives 9-Repdigit/Examples/41
Jump to navigation
Jump to search
Example of Use of Number times Recurring Part of Reciprocal gives 9-Repdigit
\(\ds \dfrac 1 {41}\) | \(=\) | \(\ds 0 \cdotp \dot 0 243 \dot 9\) | ||||||||||||
\(\ds 2439 \times 41\) | \(=\) | \(\ds 10^5 - 1\) |
Proof
Let $x = \dfrac 1 {41} = 0 \cdotp \dot 0 243 \dot 9$.
Then $n = 41$; $m = 2439$ and $d = 5$
Therefore:
- $2439 \times 41 = 10^5 - 1$
$\blacksquare$