You can add three-digit numbers by using a place value work mat. The mat lists the place values: hundreds (H), tens (T), and ones. This method helps organize the numbers for addition.
Here's a more detailed breakdown:
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Write the Numbers: Align the three-digit numbers vertically, ensuring the hundreds, tens, and ones digits are in their respective columns.
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Add the Ones Column: Start by adding the digits in the ones column. If the sum is 10 or greater, carry over the tens digit to the tens column.
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Add the Tens Column: Add the digits in the tens column, including any carry-over from the ones column. If the sum is 10 or greater, carry over the hundreds digit to the hundreds column.
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Add the Hundreds Column: Add the digits in the hundreds column, including any carry-over from the tens column.
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Write the Sum: Write down the sum in each column, from left to right (hundreds, tens, ones), to obtain the final answer.
Example:
Let's add 345 and 287.
Hundreds | Tens | Ones |
---|---|---|
3 | 4 | 5 |
2 | 8 | 7 |
--- | --- | --- |
12 (5+7) -> Write down 2, carry-over 1 to the tens column | ||
3 | 4+1 | 2 |
2 | 8 | |
--- | --- | --- |
13 (4+8+1) -> Write down 3, carry-over 1 to the hundreds column | ||
3+1 | 3 | 2 |
2 | ||
--- | --- | --- |
6 (3+2+1) | 3 | 2 |
Therefore, 345 + 287 = 632.
In summary, adding three-digit numbers involves aligning them according to place value, adding each column (ones, tens, hundreds) from right to left, and carrying over when the sum in a column is 10 or greater.