metadata
source: ncert_exercises
topic: numbers
class_level: class_9
chapter: ch1
exercise: ex1.4
difficulty: intermediate
Class 9 | Ch1: Number Systems | Exercise 1.4
Q1. Represent √9.3 on the number line. Answer: Step 1 — Draw AB = 9.3 units on number line. Step 2 — Extend BC = 1 unit. AC = 10.3 units. Step 3 — Midpoint M of AC. Semicircle with centre M, radius MC. Step 4 — Perpendicular BD at B meets semicircle at D. Step 5 — BD = √(MA²-MB²) = √(9.3×1) = √9.3. ← by geometry Step 6 — With B as centre, BD as radius, mark P on number line. ✅ P represents √9.3 on the number line.
Q2. Represent √2, √3, √5 on the number line. Answer: √2: right triangle legs 1,1 → hyp=√2. √3: legs 1,√2 → hyp=√3. √5: legs 1,2 → hyp=√5. Transfer each to number line using compass. ✅