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.
1/17=0.¯0588235294117647
There are 16 repeating digits in the decimal.
Dividing 4000 by 16, we get
Since it is divisble, then we can conclude that the last digit of the repeating decimal is the correct answer.
Thus, 7 is the final answer.
Thanks! :)
Let's note that 1/17 is a repeating decimal.
There are 16 repeating digits in the decimal.
Dividing 4000 by 16, we get
Since it is divisble, then we can conclude that the last digit of the repeating decimal is the correct answer.
Thus, 7 is the final answer.
Thanks! :)