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

Guest Feb 17, 2020

#1**+1 **

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

Guest Feb 17, 2020

#2**+2 **

Refer to here: https://web2.0calc.com/questions/what-is-the-4000th-digit-following-the-decimal-point-in-the-expansion-of-nbsp.

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........!!!

AnimalMaster Feb 17, 2020