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

TTh    Th     H     T     O

1       2      3     4     7

+      4       6      1     5     2

9

TTh    Th     H     T     O

1       2      3     4     7

+      4       6      1     5     2

9     9

TTh    Th     H     T     O

1       2      3     4     7

+      4       6      1     5     2

4     9     9

TTh    Th     H     T     O

1       2      3     4     7

+      4       6      1     5     2

8       4     9     9

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.