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Page 38 - Math Genius C2
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    E:\Working\Orange_Education\Math_Genius_2\Open_Files\Chap_02
                   \ 26-Sep-2025  Bharat Arora   Proof-10                                   Reader’s Sign _______________________ Date __________

                  Ritika: We have to add the number of garlands.

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

                   Start from 19 and count forward 16
                   steps. We reach 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

                  Joseph is in class 2. He scored 52 marks in a                  1    2   3   4    5   6   7   8    9  10

                  Maths test and 18 marks in a Maths project.                    11 12 13 14 15 16 17 18 19 20
                  He wants to find the total marks he scored in

                  Maths.                                                         21 22 23 24 25 26 27 28 29 30
                                                                                 31 32 33 34 35 36 37 38 39 40
                  He uses a 100-number grid to find the total as

                  shown below.                                                   41 42 43 44 45 46 47 48 49 50
                                                                                 51 52 53 54 55 56 57 58 59 60
                                  52 + 18 = 52 + 10 + 8                          61 62 63 64 65 66 67 68 69 70

                  He starts from the bigger number, 52; moves                    71 72 73 74 75 76 77 78 79 80

                  1 row downwards to add 1 ten and reaches 62.                   81 82 83 84 85 86 87 88 89 90
                  Then, he counts 8 columns to the right to add                  91 92 93 94 95 96 97 98 99 100

                  8 ones and at last he reaches 70.
                                                                                         Be Aware
                           52                                            To add 10, 20, 30, ..., we just move downwards

                                                                         by 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.

                          Fast Check                                                                             Art Integration
                         Colour the smiley/s in which the total is bigger than 46.

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

                  36                                                                                    Mathematics-2

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