Question

Visualize 3.765 on the number line using successive magnification.

Answer 1

In figure (i) we observe the location of 3.765 between 3 and 4. 

Now, we magnify the line segment between 3.7 and 3.8 and divide it into ten equal parts as shown in figure (ii). 

The location of the number 3.765 is in between 3.760 and 3.780. 

Again we magnify the line segment between 3.760 and 3.780 and divide further into ten equal parts.

The position of the number 3.765 is clearly located at the number line as shown in figure (iii).