What can the maximum number of digits be in the repeating block of digits in the decimal expansion of
?Perform the division to check your answer.
Solution:
Decimal expansion of
cannot have more than 16 digits in the repeating block of digits. It has to be less than the divisor itself.
So, we get 1 in the remainder at the end. We have reached at the point from where we started. After that the digits are going to repeat. Therefore, there are 16 digits in the repeating block of decimal expansion of
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