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





              Step 1.   First  add the ones and regroup.                      Step 2. Then add the tens.
              3 + 7 = 10 ones = 1 ten 0 ones                                  1 + 2 = 3 tens

              Write 0 in the ones column and carry over                       Write 3 in the tens column.

              1 to the tens column.                                                t    O

                          t    O                                                   1
                          1                                                        2    3
                          2    3                                               +        7
                      +        7                                                   3    0

                               0


              Thus, 23 + 7 = 30. So, Shikha has 30 crayons now.                       Challenge Question

              example 1: Add 25 and 35.                                          Two 2-digit numbers add up to
                                                                                 98.  One  of  the  numbers  ends
              Solution:                                                          with  4,  and  the  other  starts

              Step 1.  First add the ones and regroup.                           with  6. What are the two

              5 + 5 = 10 ones = 1 ten 0 ones                                     numbers?

              Write 0 in the ones column and carry over                       Step 2.  Then add the tens.
              1 to the tens column.                                            1 + 2 + 3 = 6 tens

                                                                               Write 6 in the tens column.

                                 t   O
                                 1                                                    t   O

                                 2    5                                               1
                             +   3    5                                               2    5
                                      0                                           +   3    5

                                                                                      6    0


              Thus, 25 + 35 = 60.
              example 2:  Find the sum of:

                              (a)  74 + 6.                              (b)  27 + 33.

              Solution:       (a)      t    O           t   O           (b)       t    O          t    O

                                       1                1                         1               1
                                       7    4           7    4                    2    7          2    7
                                   +        6       +        6                +   3    3      +   3    3

                                            0           8    0                         0          6    0





              Mathematics-2                                                                                          41
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