Problem Description:
The task involves solving a series of addition problems with regrouping. Each problem consists of two numbers that need to be added together. Regrouping (also known as carrying) is required when the sum of digits in any column exceeds 9.
Solution Approach:
1.
Understand Regrouping: When adding two numbers, if the sum of digits in any column (units, tens, hundreds, etc.) exceeds 9, we carry over the extra digit to the next higher place value.
2.
Solve Each Addition Problem:
- Start from the rightmost column (units place).
- Add the digits in each column.
- If the sum is 10 or more, write down the units digit and carry over the tens digit to the next column.
- Repeat for all columns until the entire addition is complete.
Step-by-Step Solutions:
####
First Row:
1.
325 + 145
- Units: \(5 + 5 = 10\) → Write 0, carry 1.
- Tens: \(2 + 4 + 1 = 7\) → Write 7.
- Hundreds: \(3 + 1 = 4\) → Write 4.
- Result:
470
2.
243 + 329
- Units: \(3 + 9 = 12\) → Write 2, carry 1.
- Tens: \(4 + 2 + 1 = 7\) → Write 7.
- Hundreds: \(2 + 3 = 5\) → Write 5.
- Result:
572
3.
652 + 228
- Units: \(2 + 8 = 10\) → Write 0, carry 1.
- Tens: \(5 + 2 + 1 = 8\) → Write 8.
- Hundreds: \(6 + 2 = 8\) → Write 8.
- Result:
880
####
Second Row:
1.
247 + 134
- Units: \(7 + 4 = 11\) → Write 1, carry 1.
- Tens: \(4 + 3 + 1 = 8\) → Write 8.
- Hundreds: \(2 + 1 = 3\) → Write 3.
- Result:
381
2.
454 + 328
- Units: \(4 + 8 = 12\) → Write 2, carry 1.
- Tens: \(5 + 2 + 1 = 8\) → Write 8.
- Hundreds: \(4 + 3 = 7\) → Write 7.
- Result:
782
3.
326 + 347
- Units: \(6 + 7 = 13\) → Write 3, carry 1.
- Tens: \(2 + 4 + 1 = 7\) → Write 7.
- Hundreds: \(3 + 3 = 6\) → Write 6.
- Result:
673
####
Third Row:
1.
512 + 219
- Units: \(2 + 9 = 11\) → Write 1, carry 1.
- Tens: \(1 + 1 + 1 = 3\) → Write 3.
- Hundreds: \(5 + 2 = 7\) → Write 7.
- Result:
731
2.
333 + 347
- Units: \(3 + 7 = 10\) → Write 0, carry 1.
- Tens: \(3 + 4 + 1 = 8\) → Write 8.
- Hundreds: \(3 + 3 = 6\) → Write 6.
- Result:
680
3.
129 + 133
- Units: \(9 + 3 = 12\) → Write 2, carry 1.
- Tens: \(2 + 3 + 1 = 6\) → Write 6.
- Hundreds: \(1 + 1 = 2\) → Write 2.
- Result:
262
Final Answers:
\[
\begin{array}{c|c|c}
325 & 243 & 652 \\
+145 & +329 & +228 \\
\hline
470 & 572 & 880 \\
\end{array}
\]
\[
\begin{array}{c|c|c}
247 & 454 & 326 \\
+134 & +328 & +347 \\
\hline
381 & 782 & 673 \\
\end{array}
\]
\[
\begin{array}{c|c|c}
512 & 333 & 129 \\
+219 & +347 & +133 \\
\hline
731 & 680 & 262 \\
\end{array}
\]
Boxed Final Answer:
\[
\boxed{
\begin{array}{c|c|c}
470 & 572 & 880 \\
381 & 782 & 673 \\
731 & 680 & 262 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of adding 3 digit numbers with regrouping worksheet.