Visualise $3.765$ on the number line,using successive magnification.

(N/A) $3.765$ 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 to focus on 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 the final step of the magnification process.