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german
4 years ago
9

1/7 as a decimal is 0.142857(repeating sequence). What is the digit in the 2015th place aster the decimal point

Mathematics
1 answer:
r-ruslan [8.4K]4 years ago
7 0
1/7 has an infinitely repeating decimal block of .142857 as its decimal expansion.

1/7 = .142857142857 ...

The repeating block has 6 digits in it. Note that the 7th digit of 1/7 is 1 which is the first digit of the repeating block.

To get the 2015th digit, divide 2015 by 6 and focus on the remainder.

2015/6 = 335 with a remainder of 5.

The 2015th digit of 1/7 will be the fifth digit of the repeating block 142857 which just happens to be 5.

Answer: 5
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