Adding 5 and 6 digit numbers in columns Worksheets - Math ... - Free Printable

Problem: Addition Worksheet

The task is to add 5 and 6-digit numbers in columns. Below is the step-by-step solution for each problem.

---

#### Problem 1:
\[
\begin{array}{r}
454,352 \\
+ \, 83,912 \\
+ \, 876,658 \\
+ \, \quad 60 \\
\hline
\end{array}
\]

1. Align the numbers by their place values:
\[
\begin{array}{r}
454,352 \\
+ \, 083,912 \\
+ \, 876,658 \\
+ \, \quad 000,060 \\
\hline
\end{array}
\]

2. Add column by column from right to left:
- Units place: \(2 + 2 + 8 + 0 = 12\) → Write 2, carry 1.
- Tens place: \(5 + 1 + 5 + 6 + 1 = 18\) → Write 8, carry 1.
- Hundreds place: \(3 + 9 + 6 + 0 + 1 = 19\) → Write 9, carry 1.
- Thousands place: \(4 + 3 + 7 + 0 + 1 = 15\) → Write 5, carry 1.
- Ten-thousands place: \(5 + 8 + 0 + 1 = 14\) → Write 4, carry 1.
- Hundred-thousands place: \(4 + 0 + 8 + 0 + 1 = 13\) → Write 3, carry 1.

3. Final result:
\[
\boxed{1,414,982}
\]

---

#### Problem 2:
\[
\begin{array}{r}
7,496 \\
+ \, \quad 23 \\
+ \, \quad 813 \\
+ \, 8,368 \\
\hline
\end{array}
\]

1. Align the numbers by their place values:
\[
\begin{array}{r}
7,496 \\
+ \, \quad 0023 \\
+ \, \quad 0813 \\
+ \, 8,368 \\
\hline
\end{array}
\]

2. Add column by column from right to left:
- Units place: \(6 + 3 + 3 + 8 = 20\) → Write 0, carry 2.
- Tens place: \(9 + 2 + 1 + 6 + 2 = 20\) → Write 0, carry 2.
- Hundreds place: \(4 + 0 + 8 + 3 + 2 = 17\) → Write 7, carry 1.
- Thousands place: \(7 + 0 + 0 + 8 + 1 = 16\) → Write 6, carry 1.
- Ten-thousands place: \(0 + 0 + 0 + 0 + 1 = 1\).

3. Final result:
\[
\boxed{16,690}
\]

---

#### Problem 3:
\[
\begin{array}{r}
15 \\
+ \, 3,993 \\
+ \, 75,927 \\
+ \, 1,382 \\
\hline
\end{array}
\]

1. Align the numbers by their place values:
\[
\begin{array}{r}
000,015 \\
+ \, 003,993 \\
+ \, 75,927 \\
+ \, 001,382 \\
\hline
\end{array}
\]

2. Add column by column from right to left:
- Units place: \(5 + 3 + 7 + 2 = 17\) → Write 7, carry 1.
- Tens place: \(0 + 9 + 2 + 8 + 1 = 20\) → Write 0, carry 2.
- Hundreds place: \(0 + 9 + 9 + 3 + 2 = 23\) → Write 3, carry 2.
- Thousands place: \(0 + 3 + 5 + 1 + 2 = 11\) → Write 1, carry 1.
- Ten-thousands place: \(0 + 0 + 7 + 0 + 1 = 8\).

3. Final result:
\[
\boxed{81,317}
\]

---

#### Problem 4:
\[
\begin{array}{r}
723 \\
+ \, 201,721 \\
+ \, 72,876 \\
+ \, \quad 708 \\
\hline
\end{array}
\]

1. Align the numbers by their place values:
\[
\begin{array}{r}
000,723 \\
+ \, 201,721 \\
+ \, 072,876 \\
+ \, \quad 000,708 \\
\hline
\end{array}
\]

2. Add column by column from right to left:
- Units place: \(3 + 1 + 6 + 8 = 18\) → Write 8, carry 1.
- Tens place: \(2 + 2 + 7 + 0 + 1 = 12\) → Write 2, carry 1.
- Hundreds place: \(7 + 7 + 8 + 0 + 1 = 23\) → Write 3, carry 2.
- Thousands place: \(0 + 1 + 2 + 0 + 2 = 5\).
- Ten-thousands place: \(0 + 2 + 0 + 0 = 2\).

3. Final result:
\[
\boxed{275,028}
\]

---

#### Problem 5:
\[
\begin{array}{r}
975,066 \\
+ \, 45,486 \\
+ \, \quad 674 \\
+ \, \quad 769 \\
\hline
\end{array}
\]

1. Align the numbers by their place values:
\[
\begin{array}{r}
975,066 \\
+ \, 045,486 \\
+ \, \quad 000,674 \\
+ \, \quad 000,769 \\
\hline
\end{array}
\]

2. Add column by column from right to left:
- Units place: \(6 + 6 + 4 + 9 = 25\) → Write 5, carry 2.
- Tens place: \(6 + 8 + 7 + 6 + 2 = 29\) → Write 9, carry 2.
- Hundreds place: \(0 + 4 + 0 + 0 + 2 = 6\).
- Thousands place: \(5 + 5 + 0 + 0 = 10\) → Write 0, carry 1.
- Ten-thousands place: \(7 + 4 + 0 + 0 + 1 = 12\) → Write 2, carry 1.
- Hundred-thousands place: \(9 + 0 + 0 + 0 + 1 = 10\) → Write 0, carry 1.

3. Final result:
\[
\boxed{1,021,995}
\]

---

#### Problem 6:
\[
\begin{array}{r}
4,818 \\
+ \, 15,834 \\
+ \, \quad 749 \\
+ \, 8,472 \\
\hline
\end{array}
\]

1. Align the numbers by their place values:
\[
\begin{array}{r}
004,818 \\
+ \, 015,834 \\
+ \, \quad 000,749 \\
+ \, 008,472 \\
\hline
\end{array}
\]

2. Add column by column from right to left:
- Units place: \(8 + 4 + 9 + 2 = 23\) → Write 3, carry 2.
- Tens place: \(1 + 3 + 4 + 7 + 2 = 17\) → Write 7, carry 1.
- Hundreds place: \(8 + 8 + 0 + 4 + 1 = 21\) → Write 1, carry 2.
- Thousands place: \(4 + 5 + 0 + 8 + 2 = 19\) → Write 9, carry 1.
- Ten-thousands place: \(0 + 1 + 0 + 0 + 1 = 2\).

3. Final result:
\[
\boxed{30,873}
\]

---

#### Problem 7:
\[
\begin{array}{r}
677,157 \\
+ \, 652,722 \\
+ \, \quad \quad 66 \\
+ \, \quad \quad 27 \\
\hline
\end{array}
\]

1. Align the numbers by their place values:
\[
\begin{array}{r}
677,157 \\
+ \, 652,722 \\
+ \, \quad 000,066 \\
+ \, \quad 000,027 \\
\hline
\end{array}
\]

2. Add column by column from right to left:
- Units place: \(7 + 2 + 6 + 7 = 22\) → Write 2, carry 2.
- Tens place: \(5 + 2 + 0 + 0 + 2 = 9\).
- Hundreds place: \(1 + 7 + 0 + 0 = 8\).
- Thousands place: \(7 + 2 + 0 + 0 = 9\).
- Ten-thousands place: \(6 + 5 + 0 + 0 = 11\) → Write 1, carry 1.
- Hundred-thousands place: \(0 + 0 + 0 + 1 = 1\).

3. Final result:
\[
\boxed{1,330,972}
\]

---

#### Problem 8:
\[
\begin{array}{r}
649,847 \\
+ \, 2,791 \\
+ \, 125,101 \\
+ \, 76,307 \\
\hline
\end{array}
\]

1. Align the numbers by their place values:
\[
\begin{array}{r}
649,847 \\
+ \, \quad 002,791 \\
+ \, 000,125,101 \\
+ \, 000,076,307 \\
\hline
\end{array}
\]

2. Add column by column from right to left:
- Units place: \(7 + 1 + 1 + 7 = 16\) → Write 6, carry 1.
- Tens place: \(4 + 9 + 0 + 0 + 1 = 14\) → Write 4, carry 1.
- Hundreds place: \(8 + 7 + 0 + 3 + 1 = 19\) → Write 9, carry 1.
- Thousands place: \(9 + 2 + 1 + 6 + 1 = 19\) → Write 9, carry 1.
- Ten-thousands place: \(4 + 0 + 2 + 0 + 1 = 7\).
- Hundred-thousands place: \(6 + 0 + 0 + 0 = 6\).

3. Final result:
\[
\boxed{854,046}
\]

---

#### Problem 9:
\[
\begin{array}{r}
527 \\
+ \, 368 \\
+ \, \quad 11 \\
+ \, 5,957 \\
\hline
\end{array}
\]

1. Align the numbers by their place values:
\[
\begin{array}{r}
000,527 \\
+ \, 000,368 \\
+ \, \quad 000,011 \\
+ \, 005,957 \\
\hline
\end{array}
\]

2. Add column by column from right to left:
- Units place: \(7 + 8 + 1 + 7 = 23\) → Write 3, carry 2.
- Tens place: \(2 + 6 + 0 + 5 + 2 = 15\) → Write 5, carry 1.
- Hundreds place: \(5 + 3 + 0 + 9 + 1 = 18\) → Write 8, carry 1.
- Thousands place: \(0 + 0 + 0 + 5 + 1 = 6\).

3. Final result:
\[
\boxed{6,863}
\]

---

Final Answers:

\[
\boxed{
\begin{array}{l}
1. \, 1,414,982 \\
2. \, 16,690 \\
3. \, 81,317 \\
4. \, 275,028 \\
5. \, 1,021,995 \\
6. \, 30,873 \\
7. \, 1,330,972 \\
8. \, 854,046 \\
9. \, 6,863 \\
\end{array}
}
\]