Question

Visualise the representation of $5.3\overline{7}$ on the number line upto 5 decimal places, that is upto 5.37777.

Answer 1

We know that $5.3\overline{7}$ will lie between 5 and 6. So, we locate $5.3\overline{7}$ between 5 and 6. We divide this portion of the number line
between 5 and 6 into 10 equal parts and use a magnifying glass to visualize $5.3\overline{7}$ .
$5.3\overline{7}$ lies between 5.37 and 5.38. To visualize $5.3\overline{7}$ more accurately we use a magnifying glass to visualize between 5.377 and 5.378.
Again, we divide the portion between 5.377 and 5.378 into 10 equal parts and visualize more closely to represent
$5.3\overline{7}$ as given in the figure. This is located between 5.3778 and 5.3777.