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    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_09
                 \ 12-Sep-2024                      Surender Prajapati   Proof-5              Reader’s Sign _______________________ Date __________

                  Example 3: Add 138 km 924 m and 343 km 218 m.

                  Solution:   Arrange the given lengths in the two columns of km and m and then add them.
                                 Step 1: Add ‘m’.

                                           924 m + 218 m = 1142 m                                   km              m

                                           = 1000 m + 142 m = 1 km + 142 m                           1   1          1

                                            Write 142 in the m column and carry                  1 3 8          9 2 4
                                          over 1 to the km column.                            +  3 4 3          2 1 8

                                 Step 2: Add ‘km’.                                               4 8 2          1 4 2
                                           1 km (carried over) + 138 km + 343 km = 482 km

                                           Write 482 in the km column.

                                 Thus, 138 km 924 m + 343 km 218 m = 482 km 142 m

                  addition of Weights

                  To add weights, first check the units in the given numbers. If the numbers are in the same

                  unit, then simply add the number and write the unit.

                  Example 1: Add:  (a) 2 kg and 9 kg   (b) 700 g + 900 g
                  Solution:     (a)          2 kg           (b)         7 0 0 g

                                      +      9 kg                +      9 0 0 g
                                         1 1 kg                     1   6 0 0 g          = 1000 g + 600 g = 1 kg 600 g

                                 Thus, 2 kg + 9 kg = 11 kg.          Thus, 700 g + 900 g = 1 kg 600 g.

                  When the given weights are a combination of two units, we arrange them in their
                  respective columns and then add them.

                  Example 2: Add 5 kg 762 g and 9 kg 671 g.
                  Solution:  Arrange the given measures in the two columns  of ‘kg’ and ‘g’ and add them.

                                 Step 1: Add grams (g) and convert them into kg and g.
                                           762 g + 671 g = 1433 g = 1000 g + 433 g = 1 kg 433 g

                                            Write 433 under the g column and carry over
                                          1 to the kg column.                                         kg            g

                                 Step 2: Add kilograms (kg).                                             1      1
                                           1 kg (carried over) + 5 kg + 9 kg = 15 kg                     5      7 6 2

                                           Write 15 under the kg column.                          +      9      6 7 1

                                 Thus, 5 kg 762 g + 9 kg 671 g = 15 kg 433 g                         1 5        4 3 3

                  Mathematics-3                                                                                         159

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