Question

Represent $$\sqrt{9.3}$$ on a number line.

Answer 1

Hint: To represent an irrational number on a number line, we have to follow a certain set of steps. We need to use a compass and ruler to mark the number accurately.

Complete step-by-step answer:

The steps to represent it on the number line are-

Make a line segment OB = 9.3 cm on the number line.

Make a point C at a distance of 1 cm from B.

Find the midpoint of OC and mark it with point D.

Sketch a semi-circle around O and C with D as the centre.

Draw a perpendicular line to OC at point B and let it intersect the semi-circle at E.

Taking B as centre and BE as radius, draw an arc intersecting the number line at F.

The line BF is $$\sqrt{9.3}$$ cm.

This is the required answer.


Note: Students often forget to write the units for the answer. Also, one should not forget to write the key for the number line. The labelling and marking should be done properly and clearly.