Difference between revisions of "142857"
Jump to navigation
Jump to search
| Line 11: | Line 11: | ||
Investigating the number 142857 can lead a student into an understanding of repeating decimals and rational numbers. | Investigating the number 142857 can lead a student into an understanding of repeating decimals and rational numbers. | ||
| + | |||
| + | [[Category:Mathematics]] | ||
Revision as of 10:41, March 11, 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.