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                            Step 4: Subtract the thousands.
                                       3 thousands – 1 thousand = 2 thousands

                                       Write 2 in the thousands column.
                            Step 5: Subtract the ten thousands.

                                       9 ten thousands – 2 ten thousands = 7 ten thousands
                                       Write 7 in the ten thousands column.

                            Step 6: Subtract the lakhs.
                                       7 lakhs – 4 lakhs = 3 lakhs

                                       Write 3 in the lakhs column.
                            Thus, 7,93,567 – 4,21,434 = 3,72,133.


              Subtraction of 5- and 6-digit Numbers with Regrouping (Borrowing)

              We know that, when the digit at any place in the minuend is smaller than the digit

              at the same place in the subtrahend, we borrow 1 from the next higher place and
              regroup with the digit at that place in the minuend.

              We use the same process to subtract 5- and 6-digit numbers.

              Example 3: Subtract 34,164 from 71,229.                                        TTh Th H         T    O

              Solution:   Write the  smaller  number  below the  larger                        6    11   1    12
                            number in the place value columns.                                7     1    2    2    9
                            Step 1:  Subtract the ones.                                   –   3     4    1    6    4

                                       9 ones – 4 ones = 5 ones                               3     7    0    6    5

                            Step 2:  Subtract the tens. Since 2 tens < 6 tens,
                                         borrow 1 hundred and regroup as tens.

                                       1 hundred + 2 tens = 10 tens + 2 tens = 12 tens

                                       Then, 12 tens – 6 tens = 6 tens.
                            Step 3: Subtract the hundreds. 1 hundred – 1 hundred = 0 hundreds

                            Step 4: Subtract the thousands. Since 1 thousand < 4 thousands,

                                       borrow 1 ten thousand and regroup as thousands.
                                       1 ten thousand + 1 thousand = 10 thousands + 1 thousand

                                                                            = 11 thousands
                                       Then, 11 thousands – 4 thousands = 7 thousands.

                            Step 5: Subtract the ten thousands.
                                       6 ten thousands – 3 ten thousands = 3 ten thousands

                                       Thus, 71,229 – 34,164 = 37,065.


              Mathematics-4                                                                                          41
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