Decimals are fun!
Probability
Level
2
If I divide 20 by 14, what is the sum of the first 2014 digits after the decimal point?
The answer is 9064.
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1 solution
2 0 / 1 4 = 1 . 4 2 8 5 7 1 4 2 8 5 7 1 4 2 8 5 7 1 . . . . . .
As you can see, there is a repeating period of " 4 2 8 5 7 1 " after the decimal point. To find the sum of the 2014 digits after the decimal point, we should the number of times the period is repeated, than add the remaining numbers.
2 0 1 4 / 6 = 3 3 5 R 4
Therefore, total sum is 3 3 5 ( 4 + 2 + 8 + 5 + 7 + 1 ) + 4 + 2 + 8 + 5 = 9 0 6 4 .