+0  
 
+1
109
4
avatar+37 

Find the \(291^{st}\)digit past the decimal point in the expansion of \(1/37\).

 

thanks for thy help!

 Jun 28, 2021
 #1
avatar+35057 
+2

1/37= .027 027 027 027....     every multiple of 3 is a 7   291 is a  multiple of 3      the 291st digit is 7

 Jun 28, 2021
 #3
avatar+37 
0

thank you awesome guy and EP

Skripple  Jun 28, 2021
 #4
avatar+35057 
0

You're welcome !   cheeky

ElectricPavlov  Jun 28, 2021
 #2
avatar+234 
+1

If you put 1/37 into a calculator, you get \(0.\overline{027} \), so every third digit will be a 7.

291 mod 3 results in 0, meaning that 291 is divisible by 3, so the 291st digit will be 7.

 Jun 28, 2021

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