We need to find the number of digits in the recurring block of \( \frac{1}{17}\).

Let us perform the long division to get the recurring block of \( \frac{1}{17}\).

We need to divide 1 by 17, to get

We can observe that while dividing 1 by 17 we get 16 number of digits in the repeating block of decimal expansion which will continue to be 1 after carrying out 16 continuous divisions.

Therefore, we conclude that \( \frac{1}{17}\) = 0.0588235294117647..... or \( \frac{1}{17}\) = \( 0.\overline{0588235294117647}\), which is a non-terminating and recurring decimal.

Answered by Vishal kumar | 2 years agoVisualise the representation of \( 5.3\overline{7}\) on the number line upto 5 decimal places, that is upto 5.37777.

Visualise 2.665 on the number line, using successive magnification.

Find whether the following statements are true or false:

**(i) **Every real number is either rational or irrational.

**(ii)** π is an irrational number.

**(iii)** Irrational numbers cannot be represented by points on the number line.