**Visualize 3.765 on the number line, using successive magnification.**

Solution:

Note that, the given number lies between 3 and 4 on the number line.

Magnify the interval between 3 and 4 and divide it into 10 equal parts.

The given number lies between 3.67 and 3.68 on the number line.

Magnify the interval between 3.76 and 3.77 and divide it into 10 equal parts.

3.675 is the fifth division in this magnification on the number line.

**Visualize 4.2626… on the number line, up to 4 decimal places**

Solution:

Note that, the given number lies between 4 and 5 on the number line.[Up to 4 decimal places i.e, 4.2626]

Magnify the interval between 4 and 5 and divide it into 10 equal parts.

The given number lies between 4.2 and 4.3 on the number line.

Magnify the interval between 4.26 and 4.27 and divide it into 10 equal parts.

The given number lies between 4.262 and 4.263

Magnify the interval between 4.262 and 4.263 and divide it into 10 equal parts.

4.2626 is the sixth division in this magnification on the number line

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