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# Writing problem.

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

Feb 17, 2020

### 2+0 Answers

#1
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1 / 175 =0.0057142857............................AND ENDS IN..........142857. 7 is 4000th decimal digit.

Feb 17, 2020
#2
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If you don't have time to click the link (which you should), this is what CPhill said:

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........!!!

Feb 17, 2020