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





              Step 1.  Since there are not enough ones,                       Step 2.  Then subtract the ones.

              borrow 1 ten from 3 tens and regroup 10                         14 – 8 = 6 ones

              ones with 4 ones.                                               Write 6 in the ones column.

                             t    O                                               t   O

                             2    14                                              2   14
                             3    4                                               3    4
                         –        8                                           –        8


                                                                                       6



              Step 3.   Subtract the tens.                         david: Okay, I understand. Now I will try

                               2 – 0 = 2 tens                      to subtract 6 from 20.
                                                                   First regroup 1 ten = 10 ones.
              Write 2 in the tens column.                          Then, subtract 10 – 6 = 4 ones

                              t   O                                and 1 – 0 = 1 ten

                              2   14                                                t    O
                              3    4                                                1    10
                          –        8                                                2    0
                              2    6                                            –        6

                                                                                    1    4


              Hence, 34 – 8 = 26.                                  Hence, 20 – 6 = 14.

              Subtraction of two 2-digit Numbers


              Let us understand this with some examples.                         Challenge Question
              example 1: Subtract 36 from 52.                                 I am a  2-digit  number.  My  tens

              Solution: Write the numbers in columns ac-                      digit is double my ones digit.
                                                                              If you flip  my  digits,  the  new
              cording to the place value of digits and sub-                   number is 27 less than me.
              tract step-wise.                                                What number am I?


              Step 1.   Subtract the ones.                                                                    t   O
              Since 2 < 6, borrow 1 ten from 5 tens.                                                          4   12

              1 ten + 2 ones = 10 ones + 2 ones = 12 ones                                                     5    2

              Now, 12 – 6 = 6 ones                                                                        –   3    6

              Write 6 in the ones column.                                                                          6




              Mathematics-2                                                                                          57
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