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\ 01-Oct-2025 Bharat Arora Proof-10 Reader’s Sign _______________________ Date __________
Example 2: I bought a silver foil pack of 16 m 72 cm. How much is it in cm? Alternative: To convert m into km, just write the last three digits as m and the remaining
Solution: 16 m 72 cm = (16 × 100) cm + 72 cm = 1600 cm + 72 cm digits as km. Math Insight
1
1
= 1672 cm As, 7725 m = 7 km 725 m. 250 m = km, 500 m = km, 1000 m = 1 km.
Centimetre into metre 4 2
To convert centimetres into metres and centimetres, we divide the number of metres Practice time 9a
by 100. 1. Measure the length of the following objects using a ruler.
Example 3: Convert 600 cm into m. 100 600 6 m
600 (a) ________ cm
Solution: 600 cm = (600 ÷ 100) m = 6 m 0 cm
(b) ________ cm
On converting cm into m, write the last two digits as cm and the remaining digit as m.
For example: 3261 cm = 32 m 61 cm. (c) ________ cm
Kilometre into Metre (d) ________ cm
2. Convert the following into cm.
To convert kilometres into metres, we multiply the number of kilometres by 1000.
Example 4: Aditi goes to school by her bicycle. The distance of the school from her home (a) 5 m (b) 20 m (c) 12 m 18 cm (d) 15 m 10 cm
is 3 km. What is the distance in m? 3. Convert the following into m.
Be Aware
Solution: 3 km = (3 × 1000) m = 3000 m 1 km = 1000 m. (a) 6 km (b) 10 km (c) 4 km 300 m (d) 1 km 425 m
Kilometre and Metre into Metre 4. Convert the following as directed and fill in the blanks.
To convert kilometres and metres into metres, we (a) 500 cm = _____ m (b) 1562 cm = _____ m _____ cm
Think Tank
multiply the number of kilometres by 1000 and add the Manoj has a measuring tape (c) 1610 m = _____ km _____ m (d) 2013 m = _____ km _____ m
product to the number of metres. that is not correct. His 1 m
Example 5: Raju travels a distance of 8 km 490 m. Find tape is actually only 90 cm www
long. He does not know this
the distance in m. and measures a cloth as 10 MAths connect
metres. Find the cloth’s actual Cross-Curricular Learning
Solution: 8 km 490 m = (8 × 1000) m + 490 m length. Find out where we use an odometer and speedometer. List some of their
= 8000 m + 490 m = 8490 m applications in real life.
Thus, Raju travels 8490 m.
Metre into Kilometre Measuring Weight (Mass)
To convert metres into kilometres, we divide the number of metres by 1000. The weight of an object tells us how heavy the object is. Knowledge Desk
Example 6: Convert 7725 m into km. By looking at two objects, we can compare and tell which The quantity of matter in an
Solution: 7725 m = 7000 m + 725 m or 7725 m = (7725 ÷ 1000) km is lighter or heavier. object is called its mass.
= 7 km + 725 m = 7 km 725 m
1000 7725 7 km
= 7 km 725 m 7000
So, 7725 m = 7 km 725 m. 725 m A book is lighter than a bag A water bottle is heavier than an eraser
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