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What is the 4000th digit following the decimal point in the expansion of $\frac{1}{175}$?

Dabae  May 28, 2015

Best Answer 

 #1
avatar+78618 
+10

Notice the pattern........

 

1/175  = 0.0057142857142857........

 

There is a repeated cycle of 6 digits.......

 

2 leading zeroes + 666 cycles of 6 digits = 3998 digits......so ......two more digits will give us 4000......and the second digit in the pattern is "7".....so.......this is the 4000th digit........!!!

 

 

 

CPhill  May 28, 2015
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1+0 Answers

 #1
avatar+78618 
+10
Best Answer

Notice the pattern........

 

1/175  = 0.0057142857142857........

 

There is a repeated cycle of 6 digits.......

 

2 leading zeroes + 666 cycles of 6 digits = 3998 digits......so ......two more digits will give us 4000......and the second digit in the pattern is "7".....so.......this is the 4000th digit........!!!

 

 

 

CPhill  May 28, 2015

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