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\ 08-Oct-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________
Conversion of Capacity Conversion of Capacity
Example 6: Convert the following. Example 3: Complete the double number line given below using conversion.
( a) 2455 mL into L and mL (b) 140 dL into daL and dL 1,000 mL × 4 ______ mL 9,000 mL 16,000 mL ______ mL 24,000 mL
Solution: ( a) 2455 mL into L and mL L dL cL mL × 1000
2455 mL = 2000 mL + 455 mL
× __
= (2000 ÷ 1000) L + 455 mL ÷ 10 ÷ 10 ÷ 10 1 L 1,000 mL 4 L 4,000 mL 9 L 9,000 mL ___ L 19 L ___ L
19,000 mL
16,000 mL
24,000 mL
= 2 L 455 mL × 4
( b) 140 dL into daL and dL daL L dL Solution: × 1000
140 dL = 100 dL + 40 dL 1 L × 4 4 L 9 L 16 L 19 L 24 L
÷ 10 ÷ 10
= (100 ÷ 100) daL + 40 dL = 1 daL 40 dL
activity
Objective: To practise measuring and converting the lengths of common classroom objects.
Think Tank Logical Thinking
Measure the heights of your family members in cm using a measuring tape and Materials Required: Ruler, measuring tape, small objects (pencil, book, desk).
convert them into: (a) mm (b) m Procedure:
ConvERSIon of MEASURIng UnITS USIng A DoUBLE nUMBER LInE Measure the length of your pencil in centimetres (cm). Convert it to millimetres (mm).
Conversion of Length Measure the width of your desk in metres (m). Convert it to centimetres (cm).
Find an object you think weighs about 1 kilogram (kg).
Example 1: Complete the double number line given below using conversion.
100 cm × 3 ____ cm 700 cm 900 cm 1300 cm Practice Time 8A
× 100 1. Fill in the blanks.
1 m 3 m ____ m ____ m ____ m ( a) 73 km = ______ m (b) 182 cm = ______ mm (c) 39 km = ______ m
× 3
100 cm × 3 300 cm 700 cm 900 cm 1300 cm ( d) 600 m = ______ hm (e) 54 kg = ______ g (f) 45 kg = ______ dag
( g) 3260 g = ______ hg ______ g (h) 1465 mL = ______ dL ______ mL
Solution: × 100
( i) 3808 L = ______ kL ______ L
1 m 3 m 7 m 9 m 13 m
× 3 2. Convert the following:
Conversion of Weight ( a) 17 km into dam (b) 44 dam into mm (c) 77 dm into mm
Example 2: Complete the double number line given below using conversion. ( d) 3000 dam into m (e) 2700 cm into m (f) 25 dag into dg
1,000 g × __ ____ g ____ g 11,000 g ____ g 19,000 g ____ g ( g) 172 dg into mg (h) 86 dag into g (i) 4326 dg into dag and dg
( j) 2114 cg into dg and cg (k) 1340 cL into dL (l) 8000 L into kL
× 1000
( m) 355 L into cL (n) 260 cL into dL (o) 326 hL into mL
1 kg 3 kg 7 kg ____ kg 15 kg ____ kg 23 kg
× 3 3. Convert the following using a double number line:
1,000 g × 3 3,000 g 7,000 g 11,000 g 15,000 g 19,000 g 23,000 g 100 cm × 5 ____ cm 1000 cm ____ cm 1800 cm
Solution: × 1000 ( a) × 100
1 kg × 3 3 kg 7 kg 11 kg 15 kg 19 kg 23 kg 1 m × __ 5 m ____ m 12 m ____ m
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