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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 __________

                                 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.

                  34                                                                                    Mathematics-3

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