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    E:\Working\Focus_Learning\Math_Genius_2_(09-10-2023)\Open_Files\Chap_04
                   \ 17-Nov-2023  Bharat Arora   Proof-6                                    Reader’s Sign _______________________ Date __________

                  regrouping hundreds and tens

                  Sometimes we need to regroup at more than one places while doing subtraction.
                  Let us understand it with the help of an example.

                  example 3: Subtract 253 from 800.

                  Solution:  Step 1.  Write the smaller number below the bigger                              H    t    O
                                            number in columns and start subtracting from                     8    0    0

                                            the ones place.                                              –   2    5    3

                                              Since, there is no ones, so regroup the tens and
                                            ones.

                                              But there is no tens.
                                            So, first regroup the hundreds and tens and then tens and ones.

                                            8 hundreds + 0 tens = 7 hundreds + 10 tens

                                            and 10 tens + 0 ones = 9 tens + 10 ones

                   Step 2.  Subtract the ones. Step 3.  Subtract the                  Step 4.  Subtract the
                              10 – 3 = 7 ones                    tens.                           hundreds.
                                  H     t   O                    9 – 5 = 4 tens                  7 – 2 = 5 hundreds

                                        9                            H    t    O                      H    t   O
                                   7   10 10                              9                                9
                                   8    0    0                       7    10 10                       7   10 10
                               –   2    5    3                       8    0    0                      8    0    0

                                             7                   –   2    5    3                  –   2    5    3

                                                                          4    7                      5    4    7
                             Thus, 800 – 253 = 547

                   Shortcut Method
                                                                             Brain Sizzlers
                   When zeros are in the minuend,                        431 passengers boarded a

                   subtracting 1 from both the numbers.                  metro train. At

                   It makes the subtraction easier.                      the first stop 110
                                                                         passengers get off
                                                                         the train and 216
                       H    t    O                    H     t   O        passengers get off

                       8    0    0        –1           7    9    9       at the second stop. If no passengers get
                   –   2    5    3        –1       –   2    5    2       on the train at both the stops, how many
                                                       5    4    7       passengers are there on the train now?

                  80                                                                                     Mathematics-2

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