Length — cm, m and km
Measurement: Length — cm, m and km
Length — cm, m and km
Length — cm, m and km
What you'll learn
- Understand and convert between millimetres, centimetres, metres and kilometres.
- Use 1 m = 100 cm and 1 km = 1,000 m to solve problems.
- Solve real-life length word problems (distance walked, cloth measured, etc.).
Key concepts
Level 1 — Units of length
Verbal: We measure short lengths in centimetres (cm), medium lengths in metres (m), and long distances in kilometres (km).
| Unit | Relationship |
|---|---|
| 1 m | = 100 cm |
| 1 km | = 1,000 m |
| 1 km | = 1,00,000 cm |
Level 2 — Converting metres to centimetres
Symbolic: 5 m = 5 × 100 = 500 cm. 5 m 20 cm = 500 + 20 = 520 cm.
Level 3 — Converting kilometres to metres
Symbolic: 3 km = 3 × 1,000 = 3,000 m. 3 km 250 m = 3,000 + 250 = 3,250 m.
Level 4 — Real-life word problems
Example: Meena's house is 1 km 200 m from school, and the market is 350 m further from school in the same direction. Total to market from Meena's house passing school = 1,200 m + 350 m = 1,550 m.
NCERT anchor: Math-Magic 4, Ch 2 — Long and Short (measuring length, units cm/m/km).
Worked example
Rohan walked 2 km 400 m in the morning and 650 m in the evening. How far did he walk in all (in metres)?
Step 1 — Convert 2 km 400 m to metres: 2 × 1,000 + 400 = 2,400 m.
Step 2 — Add the evening walk: 2,400 m + 650 m = 3,050 m.
Answer: 3,050 m (or 3 km 50 m).
Common mistakes
| Mistake | Why it happens | Fix |
|---|---|---|
| Using 1 m = 10 cm | Confusing with the tens place value | Always remember 1 m = 100 cm |
| Using 1 km = 100 m | Confusing units | Always remember 1 km = 1,000 m |
| Forgetting to add leftover cm/m after converting | Only converting the whole unit | Add the extra cm or m after converting the main unit |
| Mixing units before adding | Adding metres directly to kilometres | Convert everything to the same unit first |
Quick check
- 7 m = ___ cm (700 cm)
- 4 km 100 m = ___ m (4,100 m)
- 250 cm = ___ m ___ cm (2 m 50 cm)
- 6,500 m = ___ km ___ m (6 km 500 m)
- Stretch: A rope is 3 m 40 cm long. Another rope is 215 cm long. Which rope is longer, and by how much? (First rope; 340 cm vs 215 cm → longer by 125 cm)
Revision tip: Measure your school bag's strap or your arm with a ruler in cm, then convert to m — it makes the unit relationship stick.
Open the Practice tab for graded questions on Length.
Key Takeaways (TL;DR)
- What you'll learn
- Key concepts
- Worked example
- Common mistakes
Master this topic with Drishti OS
Get unlimited mock tests, AI-powered mentorship, and complete video courses when you join.
Start Free Practice