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What can the maximum number of digits b...

What can the maximum number of digits be in the repeating block of digits in the decimal expansion of `1/(17)`? Perform the division to check your answer.

Text Solution

Verified by Experts

By long division, we have

Clearly, `(1)/(17)` = 0.58823529411764705088…..
Length of period = 16.
Hence, the maximum number of digits in the repeating block of digits in the decimal expansion of `(1)/(17)` is less the than 17 , i.e., ..,16
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