| --- |
| source: ncert_exercises |
| topic: numbers |
| class_level: class_9 |
| chapter: ch1 |
| exercise: ex1.4 |
| difficulty: intermediate |
| --- |
| |
| Class 9 | Ch1: Number Systems | Exercise 1.4 |
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| 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. |
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| 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. ✅ |
