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.

Solution:

Let us perform long division to find the value of 1/17 as shown below.

Thus, we finally end up with remainder as 1 from where the digits in the quotient will again start repeating i.e, 0.0588235294117647058823...

Hence, there are 16 digits in the repeating block of the decimal expansion of 1/17.

☛ Check: NCERT Solutions Class 9 Maths Chapter 1

Video Solution:

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.

NCERT Solutions Class 9 Maths Chapter 1 Exercise 1.3 Question 5

Summary:

The decimal expansion of 1/17 is 0.0588235294117647...Thus, the maximum number of digits in the repeating block of digits in the decimal expansion of 1/17 is 16.

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