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E:\Working\Orange_Education\TouchPad_Maths_2\Open_Files\Maths_2_Chapter-03
                 \ 14-Nov-2025     Bharat Arora   Proof-7                                    Reader’s Sign _______________________ Date __________





                Subtracting 1

                When we subtract 1 from a number, the difference is the number that comes
                just ‘before’ the subtracting number.



                  a.  26 – 1 = 25                   b.  67 – 1 = 66                    c.  71 – 1 = 70


                          before                           before                             before


                Subtracting a number from itself

                When we subtract a number from itself, the difference is 0.


                  a.  15 – 15 = 0                   b.  28 – 28 = 0                    c.  79 – 79 = 0




                SUBTRACTION ON A NUMBER GRID


                To subtract numbers on a number grid,                     1    2   3    4    5    6    7   8    9 10
                we find  the bigger  number  first and                    11 12 13 14 15 16 17 18 19 20

                then move left or upwards accordingly.                   21 22 23 24 25 26 27 28 29 30

                To subtract ones, we move to the left                    31 32 33 34 35 36 37 38 39 40

                and to subtract tens, we move upwards.                   41 42 43 44 45 46 47 48 49 50
                                                                         51 52 53 54 55 56 57 58 59 60
                    Let us find 28 – 5.                                  61 62 63 64 65 66 67 68 69 70


                    We put our finger on 28 and move                     71 72 73 74 75 76 77 78 79 80
                     5 boxes to the left (–5).                           81 82 83 84 85 86 87 88 89 90
                                                                         91 92 93 94 95 96 97 98 99 100


                      23      24       25      26       27      28
                           –1      –1       –1      –1       –1

                    We reach 23. Hence, 28 – 5 = 23.


                    Let us find  56 – 24.                                         32      33      34       35      36
                                                                                       –1      –1      –1       –1   –10
                    24 = 20 + 4 = 2 tens 4 ones
                                                                                                                   46
                    We put our finger on 56 and move 2 boxes upwards (–20).                                          –10
                     We reach 36.                                                                                  56


                    From 36, we move 4 boxes left (–4). We reach 32. Hence, 56 – 24 = 32.



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                                                                                              Subtraction
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