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    E:\Working\Focus_Learning\Math_Genius_2_(09-10-2023)\Open_Files\Chap_02
                   \ 26-Feb-2024  Bharat Arora   Proof-6                                    Reader’s Sign _______________________ Date __________

                  Ritika: We have to add the number of garlands.

                   Ritika adds 19 + 16 garlands in the  Mansi tells we can also add the numbers
                   following way.                                      in another way as shown below.

                   Start from 19 and count forward 16
                   steps. We reach at 35.

                                                                                       +10
                        +1 +1 +1 +1 +1                        +1                                      +1  +1  +1  +1 +1 +1

                    18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36  18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
                   So, 19 + 16 = 35.                                   Thus, 19 + 16 = 19 + 10 + 6 = 29 + 6 = 35.

                  ADDITION ON The Number GrID                                    1    2   3   4    5   6   7   8    9  10

                  Joseph is studying in class 2. He scored 52 marks              11 12 13 14 15 16 17 18 19 20

                  in Maths and 18 marks in the Maths project.                    21 22 23 24 25 26 27 28 29 30
                  He wants to find the total marks he got in the                 31 32 33 34 35 36 37 38 39 40

                  Maths subject.                                                 41 42 43 44 45 46 47 48 49 50
                  He uses a 100-number grid to find the total as                 51 52 53 54 55 56 57 58 59 60

                  shown below.                                                   61 62 63 64 65 66 67 68 69 70

                                  52 + 18 = 52 + 10 + 8                          71 72 73 74 75 76 77 78 79 80

                  He starts from the bigger number 52; moves 1                   81 82 83 84 85 86 87 88 89 90

                  row downward for adding 1 ten, he reaches 62.                  91 92 93 94 95 96 97 98 99 100
                  Then he counts forward 8 columns for adding 8 ones, at                                Note

                  last he reaches 70.                                                         To add 10, 20, 30, ..., we
                                                                                              just move downwards by
                           52                                                                 1 row, 2 rows, 3 rows, ...
                                                                                              respectively.
                             +10

                           62         63        64        65         66        67         68        69        70
                                 +1        +1        +1         +1        +1         +1        +1        +1
                  Thus, he scored 52 + 18 = 70 marks.

                           Quick Check
                         Colour the smiley/s in which the sum is bigger than 46.

                         1.   25 + 26       2.    30 + 1    3.   18 + 39  4.    15 + 15

                  36                                                                                     Mathematics-2

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