+0

# Repeating decimal eh pal? .

+1
167
4
+37

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

thanks for thy help!

Jun 28, 2021

### 4+0 Answers

#1
+35226
+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
+37
0

thank you awesome guy and EP

Skripple  Jun 28, 2021
#4
+35226
0

You're welcome !

ElectricPavlov  Jun 28, 2021
#2
+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