3 Digit Addition Worksheets - Free Printable

Problem Description:

The task is to solve a series of 3-digit addition problems. Each problem involves adding two 3-digit numbers. The worksheet provides the structure for solving these problems step by step.

Solution Approach:

We will solve each addition problem systematically, aligning the numbers by their place values (ones, tens, hundreds) and performing the addition column by column. If the sum in any column exceeds 9, we will carry over the extra digit to the next column.

Step-by-Step Solutions:

#### Problem 1: \( 368 + 257 \)
\[
\begin{array}{c@{}c@{}c}
& 3 & 6 & 8 \\
+ & 2 & 5 & 7 \\
\hline
& 6 & 2 & 5 \\
\end{array}
\]
- Ones place: \( 8 + 7 = 15 \). Write down 5 and carry over 1.
- Tens place: \( 6 + 5 + 1 = 12 \). Write down 2 and carry over 1.
- Hundreds place: \( 3 + 2 + 1 = 6 \).

Answer: \( 625 \)

#### Problem 2: \( 293 + 156 \)
\[
\begin{array}{c@{}c@{}c}
& 2 & 9 & 3 \\
+ & 1 & 5 & 6 \\
\hline
& 4 & 4 & 9 \\
\end{array}
\]
- Ones place: \( 3 + 6 = 9 \).
- Tens place: \( 9 + 5 = 14 \). Write down 4 and carry over 1.
- Hundreds place: \( 2 + 1 + 1 = 4 \).

Answer: \( 449 \)

#### Problem 3: \( 415 + 423 \)
\[
\begin{array}{c@{}c@{}c}
& 4 & 1 & 5 \\
+ & 4 & 2 & 3 \\
\hline
& 8 & 3 & 8 \\
\end{array}
\]
- Ones place: \( 5 + 3 = 8 \).
- Tens place: \( 1 + 2 = 3 \).
- Hundreds place: \( 4 + 4 = 8 \).

Answer: \( 838 \)

#### Problem 4: \( 571 + 83 \)
\[
\begin{array}{c@{}c@{}c}
& 5 & 7 & 1 \\
+ & & 8 & 3 \\
\hline
& 6 & 5 & 4 \\
\end{array}
\]
- Ones place: \( 1 + 3 = 4 \).
- Tens place: \( 7 + 8 = 15 \). Write down 5 and carry over 1.
- Hundreds place: \( 5 + 0 + 1 = 6 \).

Answer: \( 654 \)

#### Problem 5: \( 447 + 85 \)
\[
\begin{array}{c@{}c@{}c}
& 4 & 4 & 7 \\
+ & & 8 & 5 \\
\hline
& 5 & 3 & 2 \\
\end{array}
\]
- Ones place: \( 7 + 5 = 12 \). Write down 2 and carry over 1.
- Tens place: \( 4 + 8 + 1 = 13 \). Write down 3 and carry over 1.
- Hundreds place: \( 4 + 0 + 1 = 5 \).

Answer: \( 532 \)

#### Problem 6: \( 328 + 170 \)
\[
\begin{array}{c@{}c@{}c}
& 3 & 2 & 8 \\
+ & 1 & 7 & 0 \\
\hline
& 4 & 9 & 8 \\
\end{array}
\]
- Ones place: \( 8 + 0 = 8 \).
- Tens place: \( 2 + 7 = 9 \).
- Hundreds place: \( 3 + 1 = 4 \).

Answer: \( 498 \)

#### Problem 7: \( 615 + 459 \)
\[
\begin{array}{c@{}c@{}c}
& 6 & 1 & 5 \\
+ & 4 & 5 & 9 \\
\hline
& 1 & 0 & 7 & 4 \\
\end{array}
\]
- Ones place: \( 5 + 9 = 14 \). Write down 4 and carry over 1.
- Tens place: \( 1 + 5 + 1 = 7 \).
- Hundreds place: \( 6 + 4 = 10 \). Write down 0 and carry over 1.
- Thousands place: \( 0 + 1 = 1 \).

Answer: \( 1074 \)

#### Problem 8: \( 559 + 760 \)
\[
\begin{array}{c@{}c@{}c}
& 5 & 5 & 9 \\
+ & 7 & 6 & 0 \\
\hline
& 1 & 3 & 1 & 9 \\
\end{array}
\]
- Ones place: \( 9 + 0 = 9 \).
- Tens place: \( 5 + 6 = 11 \). Write down 1 and carry over 1.
- Hundreds place: \( 5 + 7 + 1 = 13 \). Write down 3 and carry over 1.
- Thousands place: \( 0 + 1 = 1 \).

Answer: \( 1319 \)

#### Problem 9: \( 343 + 615 \)
\[
\begin{array}{c@{}c@{}c}
& 3 & 4 & 3 \\
+ & 6 & 1 & 5 \\
\hline
& 9 & 5 & 8 \\
\end{array}
\]
- Ones place: \( 3 + 5 = 8 \).
- Tens place: \( 4 + 1 = 5 \).
- Hundreds place: \( 3 + 6 = 9 \).

Answer: \( 958 \)

#### Problem 10: \( 967 + 54 \)
\[
\begin{array}{c@{}c@{}c}
& 9 & 6 & 7 \\
+ & & 5 & 4 \\
\hline
& 1 & 0 & 2 & 1 \\
\end{array}
\]
- Ones place: \( 7 + 4 = 11 \). Write down 1 and carry over 1.
- Tens place: \( 6 + 5 + 1 = 12 \). Write down 2 and carry over 1.
- Hundreds place: \( 9 + 0 + 1 = 10 \). Write down 0 and carry over 1.
- Thousands place: \( 0 + 1 = 1 \).

Answer: \( 1021 \)

#### Problem 11: \( 680 + 258 \)
\[
\begin{array}{c@{}c@{}c}
& 6 & 8 & 0 \\
+ & 2 & 5 & 8 \\
\hline
& 9 & 3 & 8 \\
\end{array}
\]
- Ones place: \( 0 + 8 = 8 \).
- Tens place: \( 8 + 5 = 13 \). Write down 3 and carry over 1.
- Hundreds place: \( 6 + 2 + 1 = 9 \).

Answer: \( 938 \)

#### Problem 12: \( 724 + 695 \)
\[
\begin{array}{c@{}c@{}c}
& 7 & 2 & 4 \\
+ & 6 & 9 & 5 \\
\hline
& 1 & 4 & 1 & 9 \\
\end{array}
\]
- Ones place: \( 4 + 5 = 9 \).
- Tens place: \( 2 + 9 = 11 \). Write down 1 and carry over 1.
- Hundreds place: \( 7 + 6 + 1 = 14 \). Write down 4 and carry over 1.
- Thousands place: \( 0 + 1 = 1 \).

Answer: \( 1419 \)

#### Problem 13: \( 413 + 526 \)
\[
\begin{array}{c@{}c@{}c}
& 4 & 1 & 3 \\
+ & 5 & 2 & 6 \\
\hline
& 9 & 3 & 9 \\
\end{array}
\]
- Ones place: \( 3 + 6 = 9 \).
- Tens place: \( 1 + 2 = 3 \).
- Hundreds place: \( 4 + 5 = 9 \).

Answer: \( 939 \)

#### Problem 14: \( 941 + 564 \)
\[
\begin{array}{c@{}c@{}c}
& 9 & 4 & 1 \\
+ & 5 & 6 & 4 \\
\hline
& 1 & 5 & 0 & 5 \\
\end{array}
\]
- Ones place: \( 1 + 4 = 5 \).
- Tens place: \( 4 + 6 = 10 \). Write down 0 and carry over 1.
- Hundreds place: \( 9 + 5 + 1 = 15 \). Write down 5 and carry over 1.
- Thousands place: \( 0 + 1 = 1 \).

Answer: \( 1505 \)

#### Problem 15: \( 773 + 139 \)
\[
\begin{array}{c@{}c@{}c}
& 7 & 7 & 3 \\
+ & & 1 & 3 & 9 \\
\hline
& 9 & 1 & 2 \\
\end{array}
\]
- Ones place: \( 3 + 9 = 12 \). Write down 2 and carry over 1.
- Tens place: \( 7 + 3 + 1 = 11 \). Write down 1 and carry over 1.
- Hundreds place: \( 7 + 1 + 1 = 9 \).

Answer: \( 912 \)

#### Problem 16: \( 894 + 328 \)
\[
\begin{array}{c@{}c@{}c}
& 8 & 9 & 4 \\
+ & 3 & 2 & 8 \\
\hline
& 1 & 2 & 2 & 2 \\
\end{array}
\]
- Ones place: \( 4 + 8 = 12 \). Write down 2 and carry over 1.
- Tens place: \( 9 + 2 + 1 = 12 \). Write down 2 and carry over 1.
- Hundreds place: \( 8 + 3 + 1 = 12 \). Write down 2 and carry over 1.
- Thousands place: \( 0 + 1 = 1 \).

Answer: \( 1222 \)

Final Answers:

\[
\boxed{
\begin{array}{ll}
1) & 625 \\
2) & 449 \\
3) & 838 \\
4) & 654 \\
5) & 532 \\
6) & 498 \\
7) & 1074 \\
8) & 1319 \\
9) & 958 \\
10) & 1021 \\
11) & 938 \\
12) & 1419 \\
13) & 939 \\
14) & 1505 \\
15) & 912 \\
16) & 1222 \\
\end{array}
}
\]