1. Visualise 3.765 on the number line, using successive magnification.
3.765 lies between 3 and 4.
Let us divide the interval (3, 4) into 10 equal parts.
Since, 3.765 lies between 3.7 and 3.8. We again magnify the interval [3.7, 3.8] by dividing it further into 10 parts and concentrate the distance between 3.76 and 3.77.
The number 3.765 lies between 3.76 and 3.77. Therefore we further magnify the interval [3.76, 3.77] into 10 equal parts.
Now, the point corresponding to 3.765 is clearly located, as shown in Fig. (iii) above.