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Subtraction of Numbers (with borrowing or regrouping)

            Look at the given examples to see how to subtract large numbers with borrowing.


            Example 4:      Subtract 32,179 from 61,452.

            Solution:           TTh Th      H     T    O

                                   6   1     4    4 5  12 2   Step 1: Subtract the ones.
                              –     3  2     1    7    9               But, 2 – 9 is not possible.
                                                                        Borrow 1 ten or 10 ones from the tens
                                                       3               place and add it to 2 ones.

                                                                       10 ones + 2 ones = 12 ones
                                                                       Thus, 12 – 9 = 3.


                                TTh Th      H     T    O
                                                  14          Step 2: Subtract the remaining tens.
                                   6   1    3 4   4 5  12 2            But, 4 – 7 is not possible.

                             –    3    2     1    7    9                Borrow 1 hundred or 10 tens from the
                                                                       hundreds place and add it to 4 tens.
                                                  7    3
                                                                       10 tens + 4 tens = 14 tens

                                                                       Thus, 14 – 7 = 7.


                                TTh Th      H     T    O

                                                  14          Step 3: Subtract the remaining hundreds.
                                   6   1    3 4   4 5  12 2            3 – 1 = 2

                             –    3    2     1    7    9

                                             2    7    3





                                TTh Th      H     T    O

                                                  14          Step 4: Subtract the thousands.
                                  5 6  11 1  3 4  4 5  12 2            But, 1 – 2 is not possible.

                             –       3    2  1    7    9                Borrow 1 ten thousand from the ten
                                                                       thousands place and add it to
                                       9     2    7    3
                                                                       1 thousand.
                                                                        10 thousands + 1 thousand =
                                                                       11 thousands
                                                                       Thus, 11 – 2 = 9.




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