What numeral is in the 100th decimal place in the decimal representation of \(6/11\)?
What numeral is in the 100th decimal place in the decimal representation of 6/11?
This is a repeating decimal. It goes
0.54 54 54 54 54 54 54 54 54 54
54 54 54 54 54 54 54 54 54 54
54 54 54 54 54 54 54 54 54 54
54 54 54 54 54 54 54 54 54 54
54 54 54 54 54 54 54 54 54 54
54 54 54 54 54 54 54 54 54 54
54 54 54 54 54 54 54 54 54 54
54 54 54 54 54 54 54 54 54 54
54 54 54 54 54 54 54 54 54 54
54 54 54 54 54 54 54 54 54 54
It's a 4.
.
+364 instead of writing all the 54's(which is in fact very painful!) since 54 is even and 100 is even, 4 must be the 100th digit
