What is the digit to the right of the decimal point in the decimal expansion of ?

Question

+1

2896

1

+1310

What is the $2007^{\text{th}}$ digit to the right of the decimal point in the decimal expansion of $\frac{1}{7}$ ?

AWESOMEEE May 25, 2015

+128731

+6

Best Answer

1/7 = (.142857).........

Note 2007/6 = 334 + 3/6 ....so the 2007th digit is the "2" in the repeated cycle

CPhill May 25, 2015

CPhill · Answer 1 · 2015-05-25T09:17:45

1/7 = (.142857).........

Note 2007/6 = 334 + 3/6 ....so the 2007th digit is the "2" in the repeated cycle