Question

Visualise the representation of `5.3bar7` on the number line upto 5 decimal places, that is upto 5.37777.

Answer 1

We know that `5.3bar7` will lie between 5 and 6. So, we locate `5.3bar7` 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 `5.3bar7` .

`5.3bar7` lies between 5.37 and 5.38. To visualize `5.3bar7` 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 `5.3bar7` as given in the figure. This is located between 5.3778 and 5.3777.