The image you uploaded contains a worksheet titled
"3 Digit Addition with Regrouping." It consists of multiple addition problems involving three-digit numbers, where regrouping (carrying over) is required. Below, I will explain the general process for solving these types of problems and provide an example solution.
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General Steps for Solving 3-Digit Addition with Regrouping:
1.
Align the Numbers: Ensure that the digits are aligned by place value (ones, tens, hundreds).
2.
Add the Ones Place: Start by adding the digits in the ones column. If the sum is 10 or more, write down the ones digit of the sum and carry over the tens digit to the next column (tens place).
3.
Add the Tens Place: Add the digits in the tens column, including any carry-over from the ones place. Again, if the sum is 10 or more, write down the ones digit of the sum and carry over the tens digit to the next column (hundreds place).
4.
Add the Hundreds Place: Add the digits in the hundreds column, including any carry-over from the tens place.
5.
Write the Final Answer: Combine the results from each column to get the final sum.
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Example Problem:
Let's solve one of the problems from the worksheet as an example:
$$
\begin{array}{r}
666 \\
+ 713 \\
\hline
\end{array}
$$
#### Step-by-Step Solution:
1.
Align the Numbers:
$$
\begin{array}{r}
666 \\
+ 713 \\
\hline
\end{array}
$$
2.
Add the Ones Place:
- Ones column: \(6 + 3 = 9\)
- Write down 9.
3.
Add the Tens Place:
- Tens column: \(6 + 1 = 7\)
- Write down 7.
4.
Add the Hundreds Place:
- Hundreds column: \(6 + 7 = 13\)
- Write down 3 and carry over 1 to the thousands place.
5.
Combine the Results:
- The final answer is \(1379\).
So, the solution is:
$$
\boxed{1379}
$$
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Explanation of Regrouping:
In the example above, when adding the hundreds place (\(6 + 7\)), the sum is 13. Since we can only write one digit in each place value, we write down 3 and carry over 1 to the thousands place. This is the essence of regrouping.
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Additional Notes:
- Always start from the rightmost column (ones place) and move left.
- Carry over any tens digit to the next column whenever the sum in a column is 10 or more.
- Double-check your work to ensure accuracy.
If you need solutions for specific problems from the worksheet, feel free to ask!
Parent Tip: Review the logic above to help your child master the concept of regrouping math worksheets.