+0  
 
0
61
2
avatar

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

 Feb 17, 2020
 #1
avatar
+1

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

 Feb 17, 2020
 #2
avatar+302 
+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........!!!

 Feb 17, 2020

58 Online Users

avatar
avatar
avatar
avatar
avatar
avatar