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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    Š Measure the length of your pencil in centimetres (cm). Convert it to millimetres (mm).

 Conversion of Length    Š Measure the width of your desk in metres (m). Convert it to centimetres (cm).
                    Š 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

              Mathematics-5                                                                                         163163
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