Addition of 5-Digit Numbers

We will learn about the addition of 5-digit numbers (without carrying and with carrying).

We know how to add 2 or 3, 4-digit numbers without carrying or with carrying. Now we will apply the same method while adding two 5-digit numbers (without carrying and with carrying) and three 5-digit numbers (without carrying and with carrying). Arrange the numbers in columns and then add ones, then tens, then hundreds, the thousands, finally ten thousands.

Consider some of the examples.

1. Add 12347 and 46152 without carrying

Adding ones

      TTh    Th     H     T     O

        1       2      3     4     7

+      4       6      1     5     2

                                      9


Adding tens

      TTh    Th     H     T     O

        1       2      3     4     7

+      4       6      1     5     2

                               9     9

 

Adding hundreds

      TTh    Th     H     T     O

        1       2      3     4     7

+      4       6      1     5     2

                        4     9     9


Adding thousands

      TTh    Th     H     T     O

        1       2      3     4     7

+      4       6      1     5     2

                8       4     9     9


Adding ten thousands

      TTh    Th     H     T     O

        1       2      3     4     7

+      4       6      1     5     2

        5       8      4     9     9


2. Add 28743 and 34978 with carrying

Adding ones 

      TTh    Th      H      T     O

                                1

        2       8      7      4      3

+      3       4      9      7      8

                                       1



Add ones i.e., 8 + 3 = 11.

Write 1 below in ones column and carry 1 to tens column.

Adding tens  

      TTh    Th     H      T     O

                        1        1

        2       8      7      4     3

+      3       4      9      7     8

                                2     1



Add tens i.e., 1 + 4 + 7 = 12.

Write 2 below in tens column and carry 1 to hundreds column.

Adding hundreds  

      TTh     Th     H     T     O

                 1      1       

        2       8      7     4      3

+      3       4      9     7      8

                        7     2      1



Add hundreds i.e., 1 + 7 + 9 = 17.

Write 7 below in hundreds column and carry 1 to thousands column.

Adding thousands  

      TTh    Th     H     T     O

        1       1               

        2       8      7     4     3

+      3       4      9     7     8

                3       7     2     1



Add thousands i.e., 1 + 8 + 4 = 13.

Write 3 below in thousands column and carry 1 to ten thousands column.

Adding ten thousands

      TTh    Th     H     T     O

        1                      

        2       8      7     4     3

+      3       4      9     7     8

        6       3      7     2     1



Add ten thousands i.e., 1 + 2 + 3 = 6.

Write 6 below in ten thousands column.

     

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