what is the 100th digit in the decimal equivalent of 1/7?
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the fraction 1/7 is equal to 0.142857142857.......the first digit after decimal point is 1
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The 100th digit in the decimal equivalent of 1/7 is 8.
The decimal equivalent of 1/7 is found by performing fraction division 1÷7
That is divide 1 by 7, and obtain the decimal value of it
While dividing 1 by 7, we get 0.142857142857142... as the result. It is a non-terminating by recurring decimal value where the values 142857 repeat infinitely after the decimal point
That is, these 6 digits repeat infinitely in the given order itself after the decimal point
To get the 100th digit:
division of 100 by 6 gives a reminder 4.
Therefore, the 100th digit after the decimal is the 4th digit in 142857
⇒ 100th digit = 8
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