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How to Add a Three-Digit Number?

Published in Arithmetic Addition 2 mins read

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:

  1. Write the Numbers: Align the three-digit numbers vertically, ensuring the hundreds, tens, and ones digits are in their respective columns.

  2. 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.

  3. 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.

  4. Add the Hundreds Column: Add the digits in the hundreds column, including any carry-over from the tens column.

  5. 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.

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