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               \ 26-Sep-2025  Bharat Arora   Proof-10                                   Reader’s Sign _______________________ Date __________





              2.  Subtract the numbers on the number line.

                   (a)   22 – 16 = ________


                        0  1 2  3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

                   (b)   30 – 20 = ________


                        0  1 2  3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

                   (c)   19 – 0 = ________


                        0  1 2  3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

                   (d)  39 – 23 = ________


                        0  1 2  3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40


              ReGROUPING NUmBeRS FOR SUBTRACTION


              Sometimes, there are not enough ones to subtract from. In such situations, we need

              to regroup the tens into ones.



                                                         1 ten = 10 ones






                                            =                                                =
                     23 = 2 tens 3 ones = 1 ten 13 ones               36 = 3 tens 6 ones = 2 tens 16 ones


              Some more examples:

               (a)  35 = 3 tens + 5 ones                           (b)  60 = 6 tens + 0 ones
                        = 2 tens + 1 ten + 5 ones                           = 5 tens + 1 ten + 0 ones

                        = 2 tens + 10 ones + 5 ones                         = 5 tens + 10 ones + 0 ones

                        = 2 tens + 15 ones                                  = 5 tens + 10 ones




                      Think Tank                                          Critical Thinking
                    1.  When 1 ten is borrowed and added to 3 ones,                             Math Insight
                         there are _____ ones.                                             Regrouping of numbers
                    2.  When 1 ten is borrowed and added to 5 ones, there are              in subtraction is called
                         _____ ones.                                                       Borrowing.




              Mathematics-2                                                                                          55
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