Find the $4000$th digit following the decimal point in the expansion of $\frac{1}{17}$
Let's note that 1/17 is a repeating decimal, which can make our lives quite easy!
We have
\(1/17 = 0.\overline{0588235294117647}\)
There are 16 repeating digits. Thus, we simplfy have
\(4000/16=250\)
Thus, the last digit, 7 is the 4000th digit.
So our answer is 7.
Thanks! :)
Let's note that 1/17 is a repeating decimal, which can make our lives quite easy!
We have
\(1/17 = 0.\overline{0588235294117647}\)
There are 16 repeating digits. Thus, we simplfy have
\(4000/16=250\)
Thus, the last digit, 7 is the 4000th digit.
So our answer is 7.
Thanks! :)