Mathematical Magic

The Most Magical Mathematical Trick I know.

Take the number

142857

…..1…. 4

7………… 2

…..5…. 8

Put it in your calculator and multiply it by 2

The result will be

285714

..…2 ….8

4………… 5

.…1….. 7

This is the same as the figure above, but twisted round one notch.

Now multiply it by 3.

The result will be

428751

..….4 …. 2

1……………. 8

…..7 ….. 5

Similar results happen if you multiply by 4, 5 .

Multiplied by 6, we get

……8 …. 5

2 …………… 7

……4 …..1

The little circle has gone round once. What do you think will happen if you multiplied the original number by 7?