Addition of 4-Digit Numbers

We will learn about the addition of 4-digit numbers (without carrying and with carrying).

We know how to add 2 or 3, 3-digit numbers without carrying or with carrying. Now we will apply the same method when we add two 4-digit numbers (without carrying and with carrying) and three 4-digit numbers (without carrying and with carrying). The numbers which are added are called addends and the result obtained is called sum. The rules for addition of 4-digit numbers with other numbers are the same as that for the numbers having less digits.

1. Without carrying

Adding ones

 Th   H   T   O

  6    1   3   2

+ 3   4   2   5

                 7


Adding tens

 Th   H   T   O

  6    1   3   2

+ 3   4   2   5

           5    7


Adding hundreds

 Th   H   T   O

  6    1   3   2

+ 3   4   2   5

        5   5   7


Adding thousands

 Th   H   T   O

   6   1   3   2

+ 3   4   2   5

   9   5   5   7


2. With carrying

Adding ones

                   1

      6     3     7     6

+    2     8     5     4

                          0


Add ones i.e., 6 + 4 = 10. Write 0 below in ones column and carrying 1 into the tens column.

Adding tens

             1     1

      6     3     7     6

+    2     8     5     4

                   3     0


Add tens i.e., 1 + 7 + 5 = 13. Write 3 below in tens column and carrying 1 into the hundreds column.

Adding hundreds

      1     1

      6     3     7     6

+    2     8     5     4

            2     3      0


Add hundreds i.e., 1 + 3 + 8 = 12. Write 2 below in hundreds column and carrying 1 into the thousands column.

Adding thousands

      1     

      6     3     7     6

+    2     8     5     4

      9     2     3     0



Add thousands i.e., 1 + 6 + 2 = 9. Write 9 below in thousands column.


Similarly add three 4-digit numbers using the above rules for without and with carrying.

3. Find the sum of 5021, 3203 and 1210.

  Th   H   T   O

   5    0   2   1

   3    2   0   3

+ 1    2   1   0

   9    4   3   4



Arrange the numbers in columns and add column wise.


4. Find the sum of 2543, 1893 and 2678.

   2      2    1

  Th   H   T   O

   2    5   4   3

   1    8   9   3

+ 2    6   7   8

   7    1   1   4





Arrange the numbers in columns and add column wise.



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