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                             Step 2: Add the tens.                                                       H    t   O

                                      1 (carried over) + 5 + 6 = 12 tens
                                                                                                          1   1
                                      Regroup 12 tens into 1 hundred and 2 tens.                         2    5   4

                                      Write 2 in the tens place and carry over 1 hundred  + 1                 6   8
                                      to the hundreds column.                                                 2   2
                             Step 3: Add the hundreds.                                                   H    t   O

                                      1 (carried over) + 2 + 1 = 4 hundreds
                                                                                                          1   1
                                      Write 4 in the hundreds column.                                    2    5   4

                                      Thus, 254 + 168 = 422.                                          + 1     6   8
                                                                                                         4    2   2
              Addition of 3-digit numbers by regrouping hundreds

              When we have more than 9 hundreds, say 10 hundreds, we can regroup 10 hundreds

              into 1 thousand and 0 hundreds.



                                                                               =

                                       10 hundreds                                           1 thousand
              example 4: Add 765 and 389.

              Solution:   Write the numbers in place value columns.
                            Step 1: Add the ones.                                                       H    t    O
                                      5 + 9 = 14 ones                                                         1

                                        Regroup 14 ones into 1 ten and 4 ones.                          7    6     5
                                        Write 4 in the ones column and carry over 1 to the          + 3      8     9
                                      tens column.                                                                 4
                            Step 2: Add the tens.                                                       H    t    O

                                      1 (carried over) + 6 + 8 = 15 tens
                                                                                                              1
                                      = 1 hundred 5 tens.                                               1    6     5
                                                                                                        7
                                        Write 5 in the tens column and carry over 1 to the          + 3      8     9

                                      hundreds column.                                                       5     4
                            Step 3:   Add the hundreds.

                                        1 (carried over) + 7 + 3 = 11 hundreds                         th H t O
                                      Regroup 11 hundreds into 1 thousand 1 hundred.                    1   1   1
                                      Write 1 in the hundreds column and 1 thousand in                     7 6 5
                                                                                                           3 8 9
                                      the thousands column.                                         +  1 1 5 4
                                      Thus, 765 + 389 = 1154.




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