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E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_02
             \ 12-Sep-2024               Surender Prajapati   Proof-4                     Reader’s Sign _______________________ Date __________





              2.  Arrange in columns and find the sum of the following:

                   (a)  2415 + 3120                 (b)  4345 + 2632                 (c)  6302 + 2475
                   (d)  6473 + 3515                 (e)  1243 + 4535 + 1201           (f)  2345 + 1023 + 4001


              Addition of 4-digit numbers with regrouping

              example 1:  Find the sum of 3506 and 1225.

              Solution:  Arrange the numbers in place value columns and add using the following steps:
                             Step 1: Add the ones.

                                       6 + 5 = 11 ones.
                                       Regroup 11 ones as 1 ten and 1 one

                                        Write 1 in the ones column and carry over 1 ten in the tens column.
                             Step 2: Add the tens. 1 (carried over) + 0 + 2 = 3 tens                 th H      t   O
                                        Write 3 in the tens column.                                            1

                             Step 3: Add the hundreds. 5 + 2 = 7 hundreds                             3    5   0    6
                                        Write 7 in the hundreds column.                            + 1     2   2    5

                             Step 4: Add the thousands. 3 + 1 = 4 thousands                           4    7   3    1
                                        Write 4 in the thousands column.
                                      Thus, the sum of 3506 + 1225 = 4731.

              example 2: Find the sum of 1076 and 2282.

              Solution:  Arrange the numbers in place value columns and add using the following steps:
                             Step 1: Add the ones.                                                   th H      t   O
                                       6 + 2 = 8 ones                                                      1

                                       Write 8 in the ones column.                                    1    0   7    6

                             Step 2: Add the tens.                                                 + 2     2   8    2
                                       7 + 8 = 15 tens = 1 hundred + 5 tens                           3    3   5    8

                                        Write 5 in the tens column and carry over 1 in the
                                      hundreds column.

                             Step 3: Add the hundreds.
                                       1 (carried over) + 0 + 2 = 3 hundreds
                                       Write 3 in the hundreds column.

                             Step 4: Add the thousands.

                                       1 + 2 = 3 thousands
                                       Write 3 in the thousands column.

                                      Thus, the sum of 1076 + 2282 = 3358.



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