Represent geometrically on the number line. [NCERT Exemplar]

Step-by-step solution

Steps of Construction: (i) Draw a line AB such that AB = 8.1 units on the number line. (ii) Extend the line further from B to C such that BC = 1 unit. (iii) Find the mid-point of AC and mark it as O. (iv) Draw a semicircle with centre O and radius OC. (v) Draw a line perpendicular to AC passing through point B and cut the semicircle at D. (vi) Taking B as centre, draw an arc of radius BD which intersects the number line at E. (vii) Point E represents on the number line. ∴ BD = BE = units with B as zero, i.e.