Add Two Large Numbers Using the Column Method and Exchanging

In this activity, we will learn how to add two large numbers using column addition and regrouping (also known as carrying).

Example

Add these numbers together:

22,478 + 15,622 

Answer

Set the numbers out in columns and add vertically, remembering to regroup (or carry) if a column adds up to 10 or more.

1. Add the ones: 8 + 2 = 10. Write the 0 in the ones column, and regroup (or carry) the 1 under the tens column.

2. Add the tens column, including the regrouped 1. Add 7 + 2 + 1 = 10. Write the 0 in the tens column and regroup the 1 under the hundreds column.

3. Add the hundreds column, including the regrouped 1. Add 4 + 6 + 1 = 11. Write the 1 in the hundreds column and regroup the 1 under the thousands column.

4. Add the thousands column, including the regrouped 1. Add 5 + 2 + 1 = 8.

5. Add the ten thousands column: 2 + 1 = 3.

In summary:

22,478 + 15,622 = 38,100

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