Three Digit Addition with Regrouping Quiz

What Is Addition With Regrouping?

Addition with regrouping occurs when the sum of digits in a place value column (ones, tens, or hundreds) exceeds 9.
In such cases, you “regroup” or “carry over” to the next column.

Example:

  127
+ 286
-----
  413

Here, we regroup digits because the sum in the ones and tens columns is greater than 9.

Step-by-Step Guide to Adding Three-Digit Numbers With Regrouping

1. Write the Numbers Vertically: Align the numbers so that the hundreds, tens, and ones places are in separate columns.

     127
   + 286
   -----
   

2. Add the Ones Place: Start with the rightmost column (ones). If the sum is 10 or more, write the right digit (ones) in the column and carry the left digit (tens) to the next column.Example: 7 + 6 = 13. Write 3 in the ones place and carry over 1 to the tens place.
3. Add the Tens Place: Add the digits in the tens column, including any carried-over value. If the sum is 10 or more, regroup again.Example: 2 + 8 = 10, and add the carried-over 1 to get 11. Write 1 in the tens place and carry over 1 to the hundreds place.
4. Add the Hundreds Place: Add the digits in the hundreds column, including any carried-over value.Example: 1 + 2 + 1 = 4. Write 4 in the hundreds place.The complete answer is 413.

Why Is This Important?

Addition with regrouping is essential for solving real-world problems involving larger numbers.
It builds skills that are foundational for understanding multiplication, division, and more advanced arithmetic concepts.

Practice Problems

Try these problems on your own. Remember to regroup when necessary:

• 372 + 248 = ?
• 146 + 285 = ?
• 589 + 326 = ?
• 437 + 164 = ?
• 275 + 498 = ?

Solutions

• 372 + 248 = 620
• 146 + 285 = 431
• 589 + 326 = 915
• 437 + 164 = 601
• 275 + 498 = 773

Common Mistakes to Avoid

• Forgetting to Regroup: Always check if the sum in any column exceeds 9 and regroup accordingly.
• Misplacing the Carry Over: Write the carried-over digit in the correct place to avoid calculation errors.
• Misaligning the Numbers: Ensure numbers are aligned correctly according to place values.

Interactive Activity

Here’s a fun activity for kids:

• Write down 5 pairs of three-digit numbers.
• Add them together, ensuring regrouping where necessary.
• Check your answers using a calculator or a friend.