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.

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#### Solution

The maximum number of digits in the repeating block of digits in the decimal expansion of 1/17 can be 16.

By long Division, the number of digits in the repeating block of digits in the decimal expansion of 1/17 = 16.

∴ The answer is verified

Concept: Real Numbers and Their Decimal Expansions

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