Math worksheet for practicing column addition with regrouping, suitable for elementary students.
Column addition worksheet for up to 3 digits with regrouping, featuring Section A with complete column additions and Section B with missing digits to fill in, designed for educational practice.
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Show Answer Key & Explanations
Step-by-step solution for: Column Addition of up to 3 Digits - With Regrouping (A) | Fun and ...
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Show Answer Key & Explanations
Step-by-step solution for: Column Addition of up to 3 Digits - With Regrouping (A) | Fun and ...
Problem Overview:
The worksheet involves column addition of up to 3-digit numbers, with a focus on regrouping (carrying over). We will solve the problems step by step.
---
Section A: Complete the column additions
#### 1)
\[
\begin{array}{r}
483 \\
+ 324 \\
\hline
\end{array}
\]
- Add the units column: \(3 + 4 = 7\)
- Add the tens column: \(8 + 2 = 10\) (write 0, carry 1)
- Add the hundreds column: \(4 + 3 + 1 = 8\)
\[
\boxed{807}
\]
#### 2)
\[
\begin{array}{r}
339 \\
+ 351 \\
\hline
\end{array}
\]
- Add the units column: \(9 + 1 = 10\) (write 0, carry 1)
- Add the tens column: \(3 + 5 + 1 = 9\)
- Add the hundreds column: \(3 + 3 = 6\)
\[
\boxed{690}
\]
#### 3)
\[
\begin{array}{r}
766 \\
+ 228 \\
\hline
\end{array}
\]
- Add the units column: \(6 + 8 = 14\) (write 4, carry 1)
- Add the tens column: \(6 + 2 + 1 = 9\)
- Add the hundreds column: \(7 + 2 = 9\)
\[
\boxed{994}
\]
#### 4)
\[
\begin{array}{r}
420 \\
+ 297 \\
\hline
\end{array}
\]
- Add the units column: \(0 + 7 = 7\)
- Add the tens column: \(2 + 9 = 11\) (write 1, carry 1)
- Add the hundreds column: \(4 + 2 + 1 = 7\)
\[
\boxed{717}
\]
#### 5)
\[
\begin{array}{r}
901 \\
+ 89 \\
\hline
\end{array}
\]
- Add the units column: \(1 + 9 = 10\) (write 0, carry 1)
- Add the tens column: \(0 + 8 + 1 = 9\)
- Add the hundreds column: \(9 + 0 = 9\)
\[
\boxed{990}
\]
#### 6)
\[
\begin{array}{r}
746 \\
+ 72 \\
\hline
\end{array}
\]
- Add the units column: \(6 + 2 = 8\)
- Add the tens column: \(4 + 7 = 11\) (write 1, carry 1)
- Add the hundreds column: \(7 + 0 + 1 = 8\)
\[
\boxed{818}
\]
#### 7)
\[
\begin{array}{r}
73 \\
+ 895 \\
\hline
\end{array}
\]
- Add the units column: \(3 + 5 = 8\)
- Add the tens column: \(0 + 9 = 9\) (since 73 has no tens, treat it as 0)
- Add the hundreds column: \(7 + 8 = 15\) (write 5, carry 1)
\[
\boxed{968}
\]
#### 8)
\[
\begin{array}{r}
250 \\
+ 685 \\
\hline
\end{array}
\]
- Add the units column: \(0 + 5 = 5\)
- Add the tens column: \(5 + 8 = 13\) (write 3, carry 1)
- Add the hundreds column: \(2 + 6 + 1 = 9\)
\[
\boxed{935}
\]
#### 9)
\[
\begin{array}{r}
259 \\
+ 164 \\
\hline
\end{array}
\]
- Add the units column: \(9 + 4 = 13\) (write 3, carry 1)
- Add the tens column: \(5 + 6 + 1 = 12\) (write 2, carry 1)
- Add the hundreds column: \(2 + 1 + 1 = 4\)
\[
\boxed{423}
\]
#### 10)
\[
\begin{array}{r}
376 \\
+ 554 \\
\hline
\end{array}
\]
- Add the units column: \(6 + 4 = 10\) (write 0, carry 1)
- Add the tens column: \(7 + 5 + 1 = 13\) (write 3, carry 1)
- Add the hundreds column: \(3 + 5 + 1 = 9\)
\[
\boxed{930}
\]
#### 11)
\[
\begin{array}{r}
889 \\
+ 111 \\
\hline
\end{array}
\]
- Add the units column: \(9 + 1 = 10\) (write 0, carry 1)
- Add the tens column: \(8 + 1 + 1 = 10\) (write 0, carry 1)
- Add the hundreds column: \(8 + 1 + 1 = 10\) (write 0, carry 1)
\[
\boxed{1000}
\]
#### 12)
\[
\begin{array}{r}
633 \\
+ 270 \\
\hline
\end{array}
\]
- Add the units column: \(3 + 0 = 3\)
- Add the tens column: \(3 + 7 = 10\) (write 0, carry 1)
- Add the hundreds column: \(6 + 2 + 1 = 9\)
\[
\boxed{903}
\]
#### 13)
\[
\begin{array}{r}
439 \\
+ 74 \\
\hline
\end{array}
\]
- Add the units column: \(9 + 4 = 13\) (write 3, carry 1)
- Add the tens column: \(3 + 7 + 1 = 11\) (write 1, carry 1)
- Add the hundreds column: \(4 + 0 + 1 = 5\)
\[
\boxed{513}
\]
#### 14)
\[
\begin{array}{r}
93 \\
+ 648 \\
\hline
\end{array}
\]
- Add the units column: \(3 + 8 = 11\) (write 1, carry 1)
- Add the tens column: \(0 + 4 + 1 = 5\) (since 93 has no tens, treat it as 0)
- Add the hundreds column: \(9 + 6 = 15\) (write 5, carry 1)
\[
\boxed{741}
\]
#### 15)
\[
\begin{array}{r}
811 \\
+ 97 \\
\hline
\end{array}
\]
- Add the units column: \(1 + 7 = 8\)
- Add the tens column: \(1 + 9 = 10\) (write 0, carry 1)
- Add the hundreds column: \(8 + 0 + 1 = 9\)
\[
\boxed{908}
\]
#### 16)
\[
\begin{array}{r}
595 \\
+ 78 \\
\hline
\end{array}
\]
- Add the units column: \(5 + 8 = 13\) (write 3, carry 1)
- Add the tens column: \(9 + 7 + 1 = 17\) (write 7, carry 1)
- Add the hundreds column: \(5 + 0 + 1 = 6\)
\[
\boxed{673}
\]
---
Section B: Fill the gaps to make the column additions correct
#### 1)
\[
\begin{array}{r}
2 \square 8 \\
+ 5 4 \square \\
\hline
7 9 6 \\
\end{array}
\]
- Units column: \(8 + \square = 6\) → \(\square = 8 - 6 = 8\) (with carry 1)
- Tens column: \(\square + 4 + 1 = 9\) → \(\square = 9 - 5 = 4\)
- Hundreds column: \(2 + 5 = 7\) (correct)
\[
\boxed{248 + 548 = 796}
\]
#### 2)
\[
\begin{array}{r}
\square \square 4 \\
+ 3 5 \\
\hline
5 3 7 \\
\end{array}
\]
- Units column: \(4 + 5 = 9\) (correct)
- Tens column: \(\square + 3 = 3\) → \(\square = 3 - 3 = 0\) (with carry 1)
- Hundreds column: \(\square + 0 + 1 = 5\) → \(\square = 5 - 1 = 4\)
\[
\boxed{404 + 35 = 537}
\]
#### 3)
\[
\begin{array}{r}
\square 2 \square \\
+ 1 \quad 9 \\
\hline
6 2 7 \\
\end{array}
\]
- Units column: \(\square + 9 = 7\) → \(\square = 7 - 9 = 8\) (with carry 1)
- Tens column: \(2 + 1 + 1 = 4\) → \(\square = 4 - 2 = 2\)
- Hundreds column: \(\square + 0 = 6\) → \(\square = 6\)
\[
\boxed{628 + 19 = 627}
\]
#### 4)
\[
\begin{array}{r}
3 8 8 \\
+ \square 2 \square \\
\hline
7 1 7 \\
\end{array}
\]
- Units column: \(8 + \square = 7\) → \(\square = 7 - 8 = 9\) (with carry 1)
- Tens column: \(8 + 2 + 1 = 11\) → \(\square = 11 - 8 = 3\)
- Hundreds column: \(3 + \square + 1 = 7\) → \(\square = 7 - 4 = 3\)
\[
\boxed{388 + 329 = 717}
\]
#### 5)
\[
\begin{array}{r}
2 5 8 \\
+ \square \square \square \\
\hline
4 1 8 \\
\end{array}
\]
- Units column: \(8 + \square = 8\) → \(\square = 0\)
- Tens column: \(5 + \square = 1\) → \(\square = 1 - 5 = 6\) (with carry 1)
- Hundreds column: \(2 + \square + 1 = 4\) → \(\square = 4 - 3 = 1\)
\[
\boxed{258 + 160 = 418}
\]
#### 6)
\[
\begin{array}{r}
\square 4 2 \\
+ 2 \quad \square \\
\hline
8 6 1 \\
\end{array}
\]
- Units column: \(2 + \square = 1\) → \(\square = 1 - 2 = 9\) (with carry 1)
- Tens column: \(4 + 0 + 1 = 5\) → \(\square = 5 - 4 = 1\)
- Hundreds column: \(\square + 2 = 8\) → \(\square = 8 - 2 = 6\)
\[
\boxed{642 + 219 = 861}
\]
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
\text{Section A:} & 807, 690, 994, 717, 990, 818, 968, 935, 423, 930, 1000, 903, 513, 741, 908, 673 \\
\text{Section B:} & 248 + 548 = 796, 404 + 35 = 537, 628 + 19 = 627, 388 + 329 = 717, 258 + 160 = 418, 642 + 219 = 861 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 2 column addition with regrouping.