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. - Wired Faculty

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Polynomials

Question

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What can the maximum number of digits be in the repeating block of digits in the decimal expansion of $1 over 17 ?$ Perform the division to check your answer.

Solution

he maximum number of digits in the repeating block of digits in the decimal expansion of

1 over 17

can be 16.

Thus comma space space 1 over 17 equals 0. top enclose 0588235294117647

By Long Division, the number of digits in the repeating block of digits in the decimal
expansion of

1 over 17 equals 16

∴ The answer is verified.

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Polynomials

What can the maximum number of digits be in the repeating block of digits in the decimal expansion of $1 over 17 ?$ Perform the division to check your answer.

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