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\ 08-Oct-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

Example 2: Subtract the following.
( a) 2 km 145 m from 9 km 230 m (b) 5 kg 165 g from 7 kg 250 g

( c) 10 L 75 mL from 24 L 800 mL
Solution: ( a) 9 km 230 m – 2 km 145 m km m
9 km 230 m – 2 km 145 m = 7 km 85 m 9 230

– 2 145
7 085

( b) 7 kg 250 g – 5 kg 165 g kg g
7 kg 250 g – 5 kg 165 g = 2 kg 85 g 7 250
– 5 165

2 085
( c) 24 L 800 mL – 10 L 75 mL L mL
24 L 800 mL – 10 L 75 mL = 14 L 725 mL
24 800
– 10 075
14 725

Knowledge Desk

One of the world’s first standardized measurement systems was created in the Indus
Valley (modern-day India and Pakistan) over 4,000 years ago. Archaeologists have found
perfectly crafted cubes made of stone that were used as weights. The smallest weight was
about 0.85 grams, and the larger weights were exact multiples of this base unit, showing a
sophisticated understanding of mathematics and trade. This system was so precise that it
was used across a vast region for centuries.

Practice Time 8B

1. Find the sum of the following.
( a) 3 m 4 dm 5 cm 7 mm, 4 m 8 dm 7 cm 1 mm and 2 m 7 dm 3 cm 4 mm

( b) 4 kg 5 hg 7 dag 2 g, 3 kg 8 hg 2 dag 3 g and 5 kg 8 hg 2 dag 3 g
( c) 8 kL 3 hL 7 daL 5 L, 3 kL 6 hL 5 daL 2 L and 3 kL 5 hL 6 daL 4 L
( d) 5 km 248 m, 11 km 55 m and 3 km 6 m
( e) 18 g 250 mg, 10 g 57 mg and 6 g 589 mg
( f) 6 L 292 mL and 7 L 385 mL

2. Find the difference of the following.
( a) 71 kL 9 hL 4 daL 2 L and 10 kL 2 hL 6 daL 4 L

( b) 6 m 5 dm 4 cm 9 mm and 3 m 4 dm 8 cm 2 mm
( c) 5 kg 7 hg 2 dag 6 g and 3 kg 8 hg 5 dag 9 g

Teacher’s Explain that to perform addition and subtraction on measuring quantities, we arrange the quantities in columns
Tip as per their unit and if any unit is missing, we put a ‘0’ under the respective units column.

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