Problem Description:
The task involves solving
3-digit addition problems WITHOUT regrouping. This means that when adding the digits in each column (ones, tens, hundreds), the sum in any column should not exceed 9, so there is no need to carry over to the next column.
Solution Approach:
1.
Understand the Concept of No Regrouping:
- When adding two numbers, ensure that the sum of the digits in each place value (ones, tens, hundreds) does not exceed 9.
- If any column exceeds 9, it would require regrouping, which is not allowed in this problem.
2.
Solve Each Addition Problem:
- Add the numbers digit by digit (starting from the ones place).
- Ensure that the sum in each column does not exceed 9.
3.
Verify Each Step:
- Double-check that no column requires carrying over a digit to the next column.
Step-by-Step Solutions:
####
First Row:
1.
120 + 102
- Ones: \(0 + 2 = 2\)
- Tens: \(2 + 0 = 2\)
- Hundreds: \(1 + 1 = 2\)
- Result:
222
2.
113 + 105
- Ones: \(3 + 5 = 8\)
- Tens: \(1 + 0 = 1\)
- Hundreds: \(1 + 1 = 2\)
- Result:
218
3.
322 + 213
- Ones: \(2 + 3 = 5\)
- Tens: \(2 + 1 = 3\)
- Hundreds: \(3 + 2 = 5\)
- Result:
535
4.
188 + 211
- Ones: \(8 + 1 = 9\)
- Tens: \(8 + 1 = 9\)
- Hundreds: \(1 + 2 = 3\)
- Result:
399
####
Second Row:
1.
223 + 110
- Ones: \(3 + 0 = 3\)
- Tens: \(2 + 1 = 3\)
- Hundreds: \(2 + 1 = 3\)
- Result:
333
2.
111 + 106
- Ones: \(1 + 6 = 7\)
- Tens: \(1 + 0 = 1\)
- Hundreds: \(1 + 1 = 2\)
- Result:
217
3.
727 + 222
- Ones: \(7 + 2 = 9\)
- Tens: \(2 + 2 = 4\)
- Hundreds: \(7 + 2 = 9\)
- Result:
949
4.
401 + 104
- Ones: \(1 + 4 = 5\)
- Tens: \(0 + 0 = 0\)
- Hundreds: \(4 + 1 = 5\)
- Result:
505
####
Third Row:
1.
170 + 216
- Ones: \(0 + 6 = 6\)
- Tens: \(7 + 1 = 8\)
- Hundreds: \(1 + 2 = 3\)
- Result:
386
2.
240 + 512
- Ones: \(0 + 2 = 2\)
- Tens: \(4 + 1 = 5\)
- Hundreds: \(2 + 5 = 7\)
- Result:
752
3.
345 + 440
- Ones: \(5 + 0 = 5\)
- Tens: \(4 + 4 = 8\)
- Hundreds: \(3 + 4 = 7\)
- Result:
785
4.
503 + 423
- Ones: \(3 + 3 = 6\)
- Tens: \(0 + 2 = 2\)
- Hundreds: \(5 + 4 = 9\)
- Result:
926
####
Fourth Row:
1.
422 + 132
- Ones: \(2 + 2 = 4\)
- Tens: \(2 + 3 = 5\)
- Hundreds: \(4 + 1 = 5\)
- Result:
554
2.
533 + 451
- Ones: \(3 + 1 = 4\)
- Tens: \(3 + 5 = 8\)
- Hundreds: \(5 + 4 = 9\)
- Result:
984
3.
220 + 321
- Ones: \(0 + 1 = 1\)
- Tens: \(2 + 2 = 4\)
- Hundreds: \(2 + 3 = 5\)
- Result:
541
4.
778 + 120
- Ones: \(8 + 0 = 8\)
- Tens: \(7 + 2 = 9\)
- Hundreds: \(7 + 1 = 8\)
- Result:
898
Final Answers:
\[
\begin{array}{cccc}
222 & 218 & 535 & 399 \\
333 & 217 & 949 & 505 \\
386 & 752 & 785 & 926 \\
554 & 984 & 541 & 898 \\
\end{array}
\]
Boxed Final Answer:
\[
\boxed{
\begin{array}{cccc}
222 & 218 & 535 & 399 \\
333 & 217 & 949 & 505 \\
386 & 752 & 785 & 926 \\
554 & 984 & 541 & 898 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 3 digit addition worksheet no regrouping.
