Page 36 - Math_Genius_V1.0_C4_Flipbook
P. 36

E:\Working\Focus_Learning\Math_Genius_4_(25-10-2023)\Open_Files\Chap-02
              \\December 7, 2023 3:54 PM   Bharat Arora   P-6           Reader _________________________   Date: ___________________74





              addition of 5- and 6-digit numbers with regrouping

              example 4: Find the sum of: 47,844 + 54,667.

              Solution:      Step 1: Arrange the digits of the                                L tth th H t O
                                      numbers in proper columns.                                  4    7   8 4 4

                                                                                           +      5    4   6 6 7


                             Step 2: Add the ones.                                             L tth th H t O

                                      4 ones + 7 ones = 11 ones = 1 ten + 1 one.                                1
                                      Carry over 1 ten to the tens column after                    4   7    8 4 4

                                      writing 1 one in the ones column.                    +       5   4    6 6 7
                                                                                                                    1

                             Step 3: Add the tens.                                             L tth th H t O
                                      1 ten (carried  over)  + 4 tens  + 6 tens  =                          1   1

                                      11 tens = 1 hundred + 1 ten. Carry over                      4   7    8 4 4
                                      1 hundred to the hundreds column after               +       5   4    6 6 7
                                      writing 1 ten in the tens column.                                         1 1

                             Step 4: Add the hundreds.

                                      1 hundred (carried over) + 8 hundreds +                  L tth th H t O
                                      6 hundreds = 15 hundreds = 1 thousand                            1    1   1
                                      + 5 hundreds.  Carry over 1  thousand  to                    4   7    8 4 4
                                                                                                            6 6 7
                                                                                                       4
                                                                                                   5
                                      the  thousands  column  after  writing  5            +                5 1 1
                                      hundred in the hundreds column.
                             Step 5: Add the thousands.

                                      1 thousand (carried over) + 7 thousands + 4              L tth th H t O
                                                                                                                1
                                                                                                            1
                                                                                                       1
                                                                                                   1
                                      thousands = 12 thousands = 1 ten thousand                    4   7    8 4 4
                                      + 2 thousands. Carry over 1 ten thousand                     5   4    6 6 7
                                      to the ten thousands column after writing            +           2    5 1 1
                                      2 thousand in the thousands column.

                             Step 6: Add ten thousands.                                        L tth th H t O
                                      1 ten thousand  (carried  over) + 4 ten                  1   1   1    1   1

                                      thousands  + 5 ten thousands  = 10 ten                       4   7    8 4 4
                                      thousands = 1 lakh + 0 ten thousands                 +       5   4    6 6 7

                                      Carry over 1 lakh  to  the lakhs  column                     0   2    5 1 1
                                      after writing  0 ten thousand  in  the ten
                                      thousands column.



              34                                                                                    Mathematics-4
   31   32   33   34   35   36   37   38   39   40   41