4. Represent \(\sqrt{9.3}\) on the number line.

Firstly we draw AB = \(\sqrt{9.3}\) units. Now, from B, mark a distance of 1 unit.

Let this point be C. Let O be the mid-point of AC. Now, draw a semi-circle with centre O and radius OA.

Let us draw a line perpendicular to AC passing through point B and intersecting the semi-circle at point D.

Therefore, the distance BD = \(\sqrt{9.3}\) units.

Draw an arc with centre B and radius BD which intersects the number line at point E, then the point E represents \(\sqrt{9.3}\) .