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              \\October 8, 2025 5:17 PM   Bharat Arora    P-9           Reader _________________________   Date: ___________________74





                3.  Convert the following into m.                                                                                        Solution:     (a)        m       cm      mm                 (b)       km         m          cm
                    (a)  24 km              (b)  96 km               (c)  8 km 417 m         (d)  26 km 42 m                                                       17    11                                       9   10 11 9

                4.  Convert the following into dm.                                                                                                                  7    1 15                                 2 10     0   1 10    15
                    (a)  39 m               (b)  118 m               (c)  19 m 9 dm          (d)  109 m 2 dm                                                    1 8      2 5       9                          3 0      1 2 0        5 0
                5.  Convert the following into dam.                                                                                                          –      9    7 6       4                       – 1 6       2 4 5        9 0

                    (a)  13 km              (b)  18 hm               (c)  5 km 10 hm                                                                                8    4 9       5                          1 3      8 7 4        6 0
                6.  Convert the following into metres.                                                                                                 Thus, 18 m 25 cm 9 mm – 9 m                   Thus, 30 km 120 m 50 cm – 16 km

                    (a)  2 km 1 hm 6 dam 8 m                         (b)  12 km 6 hm 9 dam 4 m                                                         76 cm 4 mm = 8 m 49 cm 5 mm.                  245 m 90 cm = 13 km 874 m 60 cm.
                7.  Convert the following.                                                                                               Example 3:  Rohan  travelled  218  km  352  m  by  car  and  414  km  165  m  by  bus.  Find

                    (a)  105 mm into cm and mm                       (b)  685 cm into m and cm                                                         the total distance travelled by Rohan.

                    (c)  8000 m into km                              (d)  16300 m into km and m                                          Solution:                                                     km            m

                8.  Convert the following.                                                                                                                                                              1        1

                    (a)  18 ft into in                               (b)  5 ft 24 in into in                                                           Distance travelled by car           =        2 1 8        3 5 2
                                                                                                                                                       Distance travelled by bus           =     + 4 1 4         1 6 5
                    (c)  108 in into ft                              (d)  141 in into ft and in                                                        Total distance travelled            =        6 3 2        5 1 7


              AddiTion And SuBTrAcTion of LengThS                                                                                                       Thus, Rohan travelled 632 km 517 m in all.
                                                                                                                                         Example 4: A tree was 21 m 75 cm high. A part measuring 12 m 24 cm from the top
              In  class  3,  we  have  learned  that  we  arrange  the  given  measures  in  appropriate                                 broke off due to a storm. How much of the tree is still standing erect?
              columns and then add or subtract column-wise.                                                                              Solution:

              Example 1: Add the following:                                                                                                                                                                        m        cm
                                                                                                                                                                                                                  1 11
                             (a)  32 m 76 cm 5 mm and 8 m 35 cm 8 mm                                                                                   Height of the tree before breaking                =        2 1      7 5
                             (b)  13 km 975 m 32 cm and 5 km 688 m 55 cm                                                                               Height of the broken part of the tree             =     – 1 2       2 4

              Solution:      (a)                                           (b)                                                                         Height of the remaining part of the tree          =           9     5 1
                                       m        cm      mm                          km          m         cm
                                                                                                                                                        Thus, 9 m 51 cm of the tree is still standing erect.
                                      1   1    1   1                                   1    1   1

                                      3 2      7 6       5                         1 3      9 7 5        3 2                                    Think Tank                                                                               Critical Thinking
                                   +      8    3 5       8                      +      5    6 8 8        5 5                                   What is the difference between the distances of your school and your father's
                                      4 1      1 2       3                         1 9      6 6 3        8 7                                   office from home?

                             Thus, 32 m 76 cm 5 mm + 8 m  Thus, 13 km 975 m 32 cm + 5 km                                                         Practice Time 9B

                             35 cm 8 mm = 41 m 12 cm 3 mm.                 688 m 55 cm = 19 km 663 m 87 cm.
              Example 2: Subtract the following:                                                                                           1.  Add the following:              (b)                              (c)
                                                                                                                                              (a)
                                                                                                                                                                                                  cm
                                                                                                                                                                        cm
                                                                                                                                                                                          m
                                                                                                                                                                                                                               m
                                                                                                                                                                                                                                      cm mm
                                                                                                                                                                                                                       km
                                                                                                                                                       km
                                                                                                                                                                m
                             (a)  9 m 76 cm 4 mm from 18 m 25 cm 9 mm                                                                                 2 4     1 7 5    4 2             2 1 3     3 8     mm            1 8 2 1 8 4 3         2
                                                                                                                                                                                                          6
                             (b)  16 km 245 m 90 cm from 30 km 120 m 50 m                                                                             1 3     1 0 4    5 3             1 4 1     4 3      5            2 4 1 4 8 3 7         5
               Teacher’s   Encourage students to keep the process of carrying or borrowing in mind. It will help them in doing calculation          + 0 5     0 8 1    0 9           + 1 2 0     9 1      7          + 3 4 2 3 3 7 2         2
                  Tip      fast.
             170                                                                                    Mathematics-4
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