Math worksheet for adding 3-digit and 2-digit numbers with regrouping.
A worksheet titled "Add 3-Digit and 2-Digit Numbers with Regrouping" featuring 16 addition problems with regrouping, designed for educational practice.
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Step-by-step solution for: Add 3-Digit and 2-Digit Numbers with Regrouping: Vertical Addition ...
▼
Show Answer Key & Explanations
Step-by-step solution for: Add 3-Digit and 2-Digit Numbers with Regrouping: Vertical Addition ...
The task involves adding 3-digit and 2-digit numbers with regrouping. Let's solve each problem step by step.
```
23
+138
-----
161
```
- Add the ones place: \( 3 + 8 = 11 \). Write down 1 and carry over 1.
- Add the tens place: \( 2 + 3 + 1 (carry) = 6 \).
- Add the hundreds place: \( 0 + 1 = 1 \).
Answer: 161
```
55
+215
-----
270
```
- Add the ones place: \( 5 + 5 = 10 \). Write down 0 and carry over 1.
- Add the tens place: \( 5 + 1 + 1 (carry) = 7 \).
- Add the hundreds place: \( 0 + 2 = 2 \).
Answer: 270
```
15
+329
-----
344
```
- Add the ones place: \( 5 + 9 = 14 \). Write down 4 and carry over 1.
- Add the tens place: \( 1 + 2 + 1 (carry) = 4 \).
- Add the hundreds place: \( 0 + 3 = 3 \).
Answer: 344
```
717
+ 14
-----
731
```
- Add the ones place: \( 7 + 4 = 11 \). Write down 1 and carry over 1.
- Add the tens place: \( 1 + 1 + 1 (carry) = 3 \).
- Add the hundreds place: \( 7 + 0 = 7 \).
Answer: 731
```
63
+765
-----
828
```
- Add the ones place: \( 3 + 5 = 8 \).
- Add the tens place: \( 6 + 6 = 12 \). Write down 2 and carry over 1.
- Add the hundreds place: \( 0 + 7 + 1 (carry) = 8 \).
Answer: 828
```
217
+ 85
-----
302
```
- Add the ones place: \( 7 + 5 = 12 \). Write down 2 and carry over 1.
- Add the tens place: \( 1 + 8 + 1 (carry) = 10 \). Write down 0 and carry over 1.
- Add the hundreds place: \( 2 + 0 + 1 (carry) = 3 \).
Answer: 302
```
414
+ 58
-----
472
```
- Add the ones place: \( 4 + 8 = 12 \). Write down 2 and carry over 1.
- Add the tens place: \( 1 + 5 + 1 (carry) = 7 \).
- Add the hundreds place: \( 4 + 0 = 4 \).
Answer: 472
```
75
+194
-----
269
```
- Add the ones place: \( 5 + 4 = 9 \).
- Add the tens place: \( 7 + 9 = 16 \). Write down 6 and carry over 1.
- Add the hundreds place: \( 0 + 1 + 1 (carry) = 2 \).
Answer: 269
```
786
+ 23
-----
809
```
- Add the ones place: \( 6 + 3 = 9 \).
- Add the tens place: \( 8 + 2 = 10 \). Write down 0 and carry over 1.
- Add the hundreds place: \( 7 + 0 + 1 (carry) = 8 \).
Answer: 809
```
791
+ 54
-----
845
```
- Add the ones place: \( 1 + 4 = 5 \).
- Add the tens place: \( 9 + 5 = 14 \). Write down 4 and carry over 1.
- Add the hundreds place: \( 7 + 0 + 1 (carry) = 8 \).
Answer: 845
```
84
+792
-----
876
```
- Add the ones place: \( 4 + 2 = 6 \).
- Add the tens place: \( 8 + 9 = 17 \). Write down 7 and carry over 1.
- Add the hundreds place: \( 0 + 7 + 1 (carry) = 8 \).
Answer: 876
```
572
+ 36
-----
608
```
- Add the ones place: \( 2 + 6 = 8 \).
- Add the tens place: \( 7 + 3 = 10 \). Write down 0 and carry over 1.
- Add the hundreds place: \( 5 + 0 + 1 (carry) = 6 \).
Answer: 608
```
598
+ 26
-----
624
```
- Add the ones place: \( 8 + 6 = 14 \). Write down 4 and carry over 1.
- Add the tens place: \( 9 + 2 + 1 (carry) = 12 \). Write down 2 and carry over 1.
- Add the hundreds place: \( 5 + 0 + 1 (carry) = 6 \).
Answer: 624
```
199
+ 64
-----
263
```
- Add the ones place: \( 9 + 4 = 13 \). Write down 3 and carry over 1.
- Add the tens place: \( 9 + 6 + 1 (carry) = 16 \). Write down 6 and carry over 1.
- Add the hundreds place: \( 1 + 0 + 1 (carry) = 2 \).
Answer: 263
```
129
+ 78
-----
207
```
- Add the ones place: \( 9 + 8 = 17 \). Write down 7 and carry over 1.
- Add the tens place: \( 2 + 7 + 1 (carry) = 10 \). Write down 0 and carry over 1.
- Add the hundreds place: \( 1 + 0 + 1 (carry) = 2 \).
Answer: 207
```
55
+769
-----
824
```
- Add the ones place: \( 5 + 9 = 14 \). Write down 4 and carry over 1.
- Add the tens place: \( 5 + 6 + 1 (carry) = 12 \). Write down 2 and carry over 1.
- Add the hundreds place: \( 0 + 7 + 1 (carry) = 8 \).
Answer: 824
\[
\boxed{
\begin{array}{cccc}
161 & 270 & 344 & 731 \\
828 & 302 & 472 & 269 \\
809 & 845 & 876 & 608 \\
624 & 263 & 207 & 824 \\
\end{array}
}
\]
Problem 1: \( 23 + 138 \)
```
23
+138
-----
161
```
- Add the ones place: \( 3 + 8 = 11 \). Write down 1 and carry over 1.
- Add the tens place: \( 2 + 3 + 1 (carry) = 6 \).
- Add the hundreds place: \( 0 + 1 = 1 \).
Answer: 161
Problem 2: \( 55 + 215 \)
```
55
+215
-----
270
```
- Add the ones place: \( 5 + 5 = 10 \). Write down 0 and carry over 1.
- Add the tens place: \( 5 + 1 + 1 (carry) = 7 \).
- Add the hundreds place: \( 0 + 2 = 2 \).
Answer: 270
Problem 3: \( 15 + 329 \)
```
15
+329
-----
344
```
- Add the ones place: \( 5 + 9 = 14 \). Write down 4 and carry over 1.
- Add the tens place: \( 1 + 2 + 1 (carry) = 4 \).
- Add the hundreds place: \( 0 + 3 = 3 \).
Answer: 344
Problem 4: \( 717 + 14 \)
```
717
+ 14
-----
731
```
- Add the ones place: \( 7 + 4 = 11 \). Write down 1 and carry over 1.
- Add the tens place: \( 1 + 1 + 1 (carry) = 3 \).
- Add the hundreds place: \( 7 + 0 = 7 \).
Answer: 731
Problem 5: \( 63 + 765 \)
```
63
+765
-----
828
```
- Add the ones place: \( 3 + 5 = 8 \).
- Add the tens place: \( 6 + 6 = 12 \). Write down 2 and carry over 1.
- Add the hundreds place: \( 0 + 7 + 1 (carry) = 8 \).
Answer: 828
Problem 6: \( 217 + 85 \)
```
217
+ 85
-----
302
```
- Add the ones place: \( 7 + 5 = 12 \). Write down 2 and carry over 1.
- Add the tens place: \( 1 + 8 + 1 (carry) = 10 \). Write down 0 and carry over 1.
- Add the hundreds place: \( 2 + 0 + 1 (carry) = 3 \).
Answer: 302
Problem 7: \( 414 + 58 \)
```
414
+ 58
-----
472
```
- Add the ones place: \( 4 + 8 = 12 \). Write down 2 and carry over 1.
- Add the tens place: \( 1 + 5 + 1 (carry) = 7 \).
- Add the hundreds place: \( 4 + 0 = 4 \).
Answer: 472
Problem 8: \( 75 + 194 \)
```
75
+194
-----
269
```
- Add the ones place: \( 5 + 4 = 9 \).
- Add the tens place: \( 7 + 9 = 16 \). Write down 6 and carry over 1.
- Add the hundreds place: \( 0 + 1 + 1 (carry) = 2 \).
Answer: 269
Problem 9: \( 786 + 23 \)
```
786
+ 23
-----
809
```
- Add the ones place: \( 6 + 3 = 9 \).
- Add the tens place: \( 8 + 2 = 10 \). Write down 0 and carry over 1.
- Add the hundreds place: \( 7 + 0 + 1 (carry) = 8 \).
Answer: 809
Problem 10: \( 791 + 54 \)
```
791
+ 54
-----
845
```
- Add the ones place: \( 1 + 4 = 5 \).
- Add the tens place: \( 9 + 5 = 14 \). Write down 4 and carry over 1.
- Add the hundreds place: \( 7 + 0 + 1 (carry) = 8 \).
Answer: 845
Problem 11: \( 84 + 792 \)
```
84
+792
-----
876
```
- Add the ones place: \( 4 + 2 = 6 \).
- Add the tens place: \( 8 + 9 = 17 \). Write down 7 and carry over 1.
- Add the hundreds place: \( 0 + 7 + 1 (carry) = 8 \).
Answer: 876
Problem 12: \( 572 + 36 \)
```
572
+ 36
-----
608
```
- Add the ones place: \( 2 + 6 = 8 \).
- Add the tens place: \( 7 + 3 = 10 \). Write down 0 and carry over 1.
- Add the hundreds place: \( 5 + 0 + 1 (carry) = 6 \).
Answer: 608
Problem 13: \( 598 + 26 \)
```
598
+ 26
-----
624
```
- Add the ones place: \( 8 + 6 = 14 \). Write down 4 and carry over 1.
- Add the tens place: \( 9 + 2 + 1 (carry) = 12 \). Write down 2 and carry over 1.
- Add the hundreds place: \( 5 + 0 + 1 (carry) = 6 \).
Answer: 624
Problem 14: \( 199 + 64 \)
```
199
+ 64
-----
263
```
- Add the ones place: \( 9 + 4 = 13 \). Write down 3 and carry over 1.
- Add the tens place: \( 9 + 6 + 1 (carry) = 16 \). Write down 6 and carry over 1.
- Add the hundreds place: \( 1 + 0 + 1 (carry) = 2 \).
Answer: 263
Problem 15: \( 129 + 78 \)
```
129
+ 78
-----
207
```
- Add the ones place: \( 9 + 8 = 17 \). Write down 7 and carry over 1.
- Add the tens place: \( 2 + 7 + 1 (carry) = 10 \). Write down 0 and carry over 1.
- Add the hundreds place: \( 1 + 0 + 1 (carry) = 2 \).
Answer: 207
Problem 16: \( 55 + 769 \)
```
55
+769
-----
824
```
- Add the ones place: \( 5 + 9 = 14 \). Write down 4 and carry over 1.
- Add the tens place: \( 5 + 6 + 1 (carry) = 12 \). Write down 2 and carry over 1.
- Add the hundreds place: \( 0 + 7 + 1 (carry) = 8 \).
Answer: 824
Final Answers:
\[
\boxed{
\begin{array}{cccc}
161 & 270 & 344 & 731 \\
828 & 302 & 472 & 269 \\
809 & 845 & 876 & 608 \\
624 & 263 & 207 & 824 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of addition worksheet regrouping 3 digit.
