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, and some of these additions will require carrying over digits (regrouping).
Solution Approach:
1.
Understand Regrouping: When the sum of digits in any column 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 problem is solved.
Step-by-Step Solutions:
####
First Row:
1.
546 + 436
- Units: \(6 + 6 = 12\) → Write 2, carry 1.
- Tens: \(4 + 3 + 1 = 8\) → Write 8.
- Hundreds: \(5 + 4 = 9\) → Write 9.
- Result:
982
2.
438 + 522
- Units: \(8 + 2 = 10\) → Write 0, carry 1.
- Tens: \(3 + 2 + 1 = 6\) → Write 6.
- Hundreds: \(4 + 5 = 9\) → Write 9.
- Result:
960
3.
312 + 349
- Units: \(2 + 9 = 11\) → Write 1, carry 1.
- Tens: \(1 + 4 + 1 = 6\) → Write 6.
- Hundreds: \(3 + 3 = 6\) → Write 6.
- Result:
661
####
Second Row:
1.
724 + 137
- Units: \(4 + 7 = 11\) → Write 1, carry 1.
- Tens: \(2 + 3 + 1 = 6\) → Write 6.
- Hundreds: \(7 + 1 = 8\) → Write 8.
- Result:
861
2.
239 + 436
- Units: \(9 + 6 = 15\) → Write 5, carry 1.
- Tens: \(3 + 3 + 1 = 7\) → Write 7.
- Hundreds: \(2 + 4 = 6\) → Write 6.
- Result:
675
3.
523 + 267
- Units: \(3 + 7 = 10\) → Write 0, carry 1.
- Tens: \(2 + 6 + 1 = 9\) → Write 9.
- Hundreds: \(5 + 2 = 7\) → Write 7.
- Result:
790
####
Third Row:
1.
155 + 238
- Units: \(5 + 8 = 13\) → Write 3, carry 1.
- Tens: \(5 + 3 + 1 = 9\) → Write 9.
- Hundreds: \(1 + 2 = 3\) → Write 3.
- Result:
393
2.
447 + 327
- Units: \(7 + 7 = 14\) → Write 4, carry 1.
- Tens: \(4 + 2 + 1 = 7\) → Write 7.
- Hundreds: \(4 + 3 = 7\) → Write 7.
- Result:
774
3.
262 + 239
- Units: \(2 + 9 = 11\) → Write 1, carry 1.
- Tens: \(6 + 3 + 1 = 10\) → Write 0, carry 1.
- Hundreds: \(2 + 2 + 1 = 5\) → Write 5.
- Result:
501
Final Answers:
\[
\begin{array}{c|c|c}
546 & 438 & 312 \\
+436 & +522 & +349 \\
\hline
982 & 960 & 661 \\
\end{array}
\]
\[
\begin{array}{c|c|c}
724 & 239 & 523 \\
+137 & +436 & +267 \\
\hline
861 & 675 & 790 \\
\end{array}
\]
\[
\begin{array}{c|c|c}
155 & 447 & 262 \\
+238 & +327 & +239 \\
\hline
393 & 774 & 501 \\
\end{array}
\]
Boxed Final Answer:
\[
\boxed{
\begin{array}{c|c|c}
982 & 960 & 661 \\
861 & 675 & 790 \\
393 & 774 & 501 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 3 digit addition with regrouping worksheet 2nd grade.
