Monday, February 25, 2013

7

When you divide 7 into any number that is not a multiple of 7, the repeat of digits will be 6 units long.  The number of digits in the repeat must be less than the denominator.  7 is the lowest denominator where the repeats are all the maximum length.

1/7 = 0.142857 (repeating)

2/7 = 0.285714 (repeating)

3/7 = 0.428571 (repeating)

4/7 = 0.571428 (repeating)

5/7 = 0.714285 (repeating)

6/7 = 0.857142 (repeating)

Notice that all of these are the SAME CYCLE of numbers, in the same order, they just start in a different place.

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