2. Visualize \(4\overline{.26}\) on the number line, upto 4 Decimal places.

We know that, by process of successive magnification and successively decrease the length of the portion of the number line in which 4.26... is located.

Since 4.26... is located between 4 and 5 and is divided into 10 equal parts Figure (i). In further, we locate 4.26... between 4.2 and 4.3 Figure (ii).

To get more accurate visualization of the representation, we divide this portion into 10 equal parts and use a magnifying glass to visualize that 4.26.... lies between 4.26 and 4.27.

To visualize 4.26... more clearly we divide again between 4.26 and 4.27 into 10 equal parts and visualize the representation of 4.26... between 4.262 and 4.263 Figure (iii).

Now, for a much better visualization between 4.262 and 4.263 is again divided into 10 equal parts Figure (iv). Notice that 4.26..... is located closer to 4.263 then to 4.262 at 4.2627.