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What can the maximum number of digits be...

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

When we calculate `1/17`, it comes `0.0588235294117647`.
After that, if we still continue the division, it starts with the same numbers after decimal.
So, we can count the number of digits after decimal point in `0.0588235294117647` to find the maximum number of digits in the repeating block of digits.
It comes 16 that is required number.
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