Difference between revisions of "142857"
Jump to navigation
Jump to search
Wesleywillis (talk | contribs) |
m (Reverted edits by Wesleywillis (Talk); changed back to last version by John) |
||
| Line 1: | Line 1: | ||
| − | + | The number ''142857'' has the curious property that, if it is multiplied by any number from 1 to 6, the result is a number with the same digits in the same order (a [[cyclic permutation]]). | |
| − | + | For example, 142857 × 3 = 428571. | |
| + | |||
| + | This property is closely related to the facts that | ||
| + | :1/7 = 142857/999999 | ||
| + | |||
| + | and that 1/7 expressed as a [[decimal]] is | ||
| + | |||
| + | :0.142857142857142857142857142857... | ||
| + | |||
| + | Investigating the number 142857 can lead a student into an understanding of repeating decimals and [[rational numbers]]. | ||
| + | |||
| + | [[Category:Mathematics]] | ||
Revision as of 20:09, March 15, 2007
The number 142857 has the curious property that, if it is multiplied by any number from 1 to 6, the result is a number with the same digits in the same order (a cyclic permutation).
For example, 142857 × 3 = 428571.
This property is closely related to the facts that
- 1/7 = 142857/999999
and that 1/7 expressed as a decimal is
- 0.142857142857142857142857142857...
Investigating the number 142857 can lead a student into an understanding of repeating decimals and rational numbers.