Grade 2 Worksheet - Add two 3-digit numbers in columns, with ... - Free Printable

Problem Description:

The task involves solving a series of addition problems where 3-digit numbers are added in columns, with regrouping (carrying over) as necessary. The worksheet is designed for Grade 2 students and focuses on practicing column addition with carrying.

Solution Approach:

1. Understand Column Addition: Add the numbers starting from the rightmost column (units place), then move to the tens place, and finally to the hundreds place.
2. Handle Regrouping: If the sum in any column exceeds 9, carry over the extra digit to the next column to the left.
3. Repeat for Each Problem: Apply the same process to all the given problems.

Step-by-Step Solutions:

#### Problem 1: \( 887 + 965 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 8 & 8 & 7 \\
+ & 9 & 6 & 5 \\
\hline
& 1 & 8 & 5 & 2 \\
\end{array}
\]
- Units place: \( 7 + 5 = 12 \). Write 2, carry 1.
- Tens place: \( 8 + 6 + 1 = 15 \). Write 5, carry 1.
- Hundreds place: \( 8 + 9 + 1 = 18 \). Write 18.

Answer: \( 1852 \)

#### Problem 2: \( 268 + 956 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 2 & 6 & 8 \\
+ & 9 & 5 & 6 \\
\hline
& 1 & 2 & 2 & 4 \\
\end{array}
\]
- Units place: \( 8 + 6 = 14 \). Write 4, carry 1.
- Tens place: \( 6 + 5 + 1 = 12 \). Write 2, carry 1.
- Hundreds place: \( 2 + 9 + 1 = 12 \). Write 12.

Answer: \( 1224 \)

#### Problem 3: \( 74 + 267 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& & 7 & 4 \\
+ & 2 & 6 & 7 \\
\hline
& 3 & 4 & 1 \\
\end{array}
\]
- Units place: \( 4 + 7 = 11 \). Write 1, carry 1.
- Tens place: \( 7 + 6 + 1 = 14 \). Write 4, carry 1.
- Hundreds place: \( 0 + 2 + 1 = 3 \).

Answer: \( 341 \)

#### Problem 4: \( 482 + 658 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 4 & 8 & 2 \\
+ & 6 & 5 & 8 \\
\hline
& 1 & 1 & 4 & 0 \\
\end{array}
\]
- Units place: \( 2 + 8 = 10 \). Write 0, carry 1.
- Tens place: \( 8 + 5 + 1 = 14 \). Write 4, carry 1.
- Hundreds place: \( 4 + 6 + 1 = 11 \). Write 11.

Answer: \( 1140 \)

#### Problem 5: \( 773 + 389 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 7 & 7 & 3 \\
+ & 3 & 8 & 9 \\
\hline
& 1 & 1 & 6 & 2 \\
\end{array}
\]
- Units place: \( 3 + 9 = 12 \). Write 2, carry 1.
- Tens place: \( 7 + 8 + 1 = 16 \). Write 6, carry 1.
- Hundreds place: \( 7 + 3 + 1 = 11 \). Write 11.

Answer: \( 1162 \)

#### Problem 6: \( 624 + 438 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 6 & 2 & 4 \\
+ & 4 & 3 & 8 \\
\hline
& 1 & 0 & 6 & 2 \\
\end{array}
\]
- Units place: \( 4 + 8 = 12 \). Write 2, carry 1.
- Tens place: \( 2 + 3 + 1 = 6 \).
- Hundreds place: \( 6 + 4 = 10 \). Write 10.

Answer: \( 1062 \)

#### Problem 7: \( 619 + 896 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 6 & 1 & 9 \\
+ & 8 & 9 & 6 \\
\hline
& 1 & 5 & 1 & 5 \\
\end{array}
\]
- Units place: \( 9 + 6 = 15 \). Write 5, carry 1.
- Tens place: \( 1 + 9 + 1 = 11 \). Write 1, carry 1.
- Hundreds place: \( 6 + 8 + 1 = 15 \). Write 15.

Answer: \( 1515 \)

#### Problem 8: \( 727 + 738 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 7 & 2 & 7 \\
+ & 7 & 3 & 8 \\
\hline
& 1 & 4 & 6 & 5 \\
\end{array}
\]
- Units place: \( 7 + 8 = 15 \). Write 5, carry 1.
- Tens place: \( 2 + 3 + 1 = 6 \).
- Hundreds place: \( 7 + 7 = 14 \). Write 14.

Answer: \( 1465 \)

#### Problem 9: \( 171 + 949 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& & 1 & 7 & 1 \\
+ & 9 & 4 & 9 \\
\hline
& 1 & 1 & 2 & 0 \\
\end{array}
\]
- Units place: \( 1 + 9 = 10 \). Write 0, carry 1.
- Tens place: \( 7 + 4 + 1 = 12 \). Write 2, carry 1.
- Hundreds place: \( 1 + 9 + 1 = 11 \). Write 11.

Answer: \( 1120 \)

#### Problem 10: \( 189 + 975 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& & 1 & 8 & 9 \\
+ & 9 & 7 & 5 \\
\hline
& 1 & 1 & 6 & 4 \\
\end{array}
\]
- Units place: \( 9 + 5 = 14 \). Write 4, carry 1.
- Tens place: \( 8 + 7 + 1 = 16 \). Write 6, carry 1.
- Hundreds place: \( 1 + 9 + 1 = 11 \). Write 11.

Answer: \( 1164 \)

#### Problem 11: \( 186 + 985 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& & 1 & 8 & 6 \\
+ & 9 & 8 & 5 \\
\hline
& 1 & 1 & 7 & 1 \\
\end{array}
\]
- Units place: \( 6 + 5 = 11 \). Write 1, carry 1.
- Tens place: \( 8 + 8 + 1 = 17 \). Write 7, carry 1.
- Hundreds place: \( 1 + 9 + 1 = 11 \). Write 11.

Answer: \( 1171 \)

#### Problem 12: \( 498 + 717 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 4 & 9 & 8 \\
+ & 7 & 1 & 7 \\
\hline
& 1 & 2 & 1 & 5 \\
\end{array}
\]
- Units place: \( 8 + 7 = 15 \). Write 5, carry 1.
- Tens place: \( 9 + 1 + 1 = 11 \). Write 1, carry 1.
- Hundreds place: \( 4 + 7 + 1 = 12 \). Write 12.

Answer: \( 1215 \)

#### Problem 13: \( 312 + 99 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& & 3 & 1 & 2 \\
+ & & & 9 & 9 \\
\hline
& & 4 & 1 & 1 \\
\end{array}
\]
- Units place: \( 2 + 9 = 11 \). Write 1, carry 1.
- Tens place: \( 1 + 9 + 1 = 11 \). Write 1, carry 1.
- Hundreds place: \( 3 + 0 + 1 = 4 \).

Answer: \( 411 \)

#### Problem 14: \( 872 + 368 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 8 & 7 & 2 \\
+ & 3 & 6 & 8 \\
\hline
& 1 & 2 & 4 & 0 \\
\end{array}
\]
- Units place: \( 2 + 8 = 10 \). Write 0, carry 1.
- Tens place: \( 7 + 6 + 1 = 14 \). Write 4, carry 1.
- Hundreds place: \( 8 + 3 + 1 = 12 \). Write 12.

Answer: \( 1240 \)

#### Problem 15: \( 379 + 783 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 3 & 7 & 9 \\
+ & 7 & 8 & 3 \\
\hline
& 1 & 1 & 6 & 2 \\
\end{array}
\]
- Units place: \( 9 + 3 = 12 \). Write 2, carry 1.
- Tens place: \( 7 + 8 + 1 = 16 \). Write 6, carry 1.
- Hundreds place: \( 3 + 7 + 1 = 11 \). Write 11.

Answer: \( 1162 \)

#### Problem 16: \( 941 + 779 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 9 & 4 & 1 \\
+ & 7 & 7 & 9 \\
\hline
& 1 & 7 & 2 & 0 \\
\end{array}
\]
- Units place: \( 1 + 9 = 10 \). Write 0, carry 1.
- Tens place: \( 4 + 7 + 1 = 12 \). Write 2, carry 1.
- Hundreds place: \( 9 + 7 + 1 = 17 \). Write 17.

Answer: \( 1720 \)

#### Problem 17: \( 167 + 953 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& & 1 & 6 & 7 \\
+ & 9 & 5 & 3 \\
\hline
& 1 & 1 & 2 & 0 \\
\end{array}
\]
- Units place: \( 7 + 3 = 10 \). Write 0, carry 1.
- Tens place: \( 6 + 5 + 1 = 12 \). Write 2, carry 1.
- Hundreds place: \( 1 + 9 + 1 = 11 \). Write 11.

Answer: \( 1120 \)

#### Problem 18: \( 357 + 875 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 3 & 5 & 7 \\
+ & 8 & 7 & 5 \\
\hline
& 1 & 2 & 3 & 2 \\
\end{array}
\]
- Units place: \( 7 + 5 = 12 \). Write 2, carry 1.
- Tens place: \( 5 + 7 + 1 = 13 \). Write 3, carry 1.
- Hundreds place: \( 3 + 8 + 1 = 12 \). Write 12.

Answer: \( 1232 \)

#### Problem 19: \( 716 + 798 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 7 & 1 & 6 \\
+ & 7 & 9 & 8 \\
\hline
& 1 & 5 & 1 & 4 \\
\end{array}
\]
- Units place: \( 6 + 8 = 14 \). Write 4, carry 1.
- Tens place: \( 1 + 9 + 1 = 11 \). Write 1, carry 1.
- Hundreds place: \( 7 + 7 + 1 = 15 \). Write 15.

Answer: \( 1514 \)

#### Problem 20: \( 242 + 898 \)
\[
\begin{array}{c@{}c@{}c@{}c}
& 2 & 4 & 2 \\
+ & 8 & 9 & 8 \\
\hline
& 1 & 1 & 4 & 0 \\
\end{array}
\]
- Units place: \( 2 + 8 = 10 \). Write 0, carry 1.
- Tens place: \( 4 + 9 + 1 = 14 \). Write 4, carry 1.
- Hundreds place: \( 2 + 8 + 1 = 11 \). Write 11.

Answer: \( 1140 \)

Final Answers:

\[
\boxed{
\begin{array}{ll}
1) & 1852 \\
2) & 1224 \\
3) & 341 \\
4) & 1140 \\
5) & 1162 \\
6) & 1062 \\
7) & 1515 \\
8) & 1465 \\
9) & 1120 \\
10) & 1164 \\
11) & 1171 \\
12) & 1215 \\
13) & 411 \\
14) & 1240 \\
15) & 1162 \\
16) & 1720 \\
17) & 1120 \\
18) & 1232 \\
19) & 1514 \\
20) & 1140 \\
\end{array}
}
\]