Add Hundred Thousands Regrouping Worksheet - Free Printable

Problem: Adding Large Numbers with Regrouping

The task involves adding pairs of large numbers and performing regrouping (carrying over) as needed. Below, I will solve each addition problem step by step.

---

Problem 1:

$$
289,335 + 928,457
$$

#### Step-by-Step Solution:
1. Align the numbers by place value:
$$
\begin{array}{r}
289,335 \\
+ 928,457 \\
\hline
\end{array}
$$

2. Add from right to left:
- Ones place: \(5 + 7 = 12\). Write down 2 and carry over 1.
- Tens place: \(3 + 5 + 1 = 9\).
- Hundreds place: \(3 + 4 = 7\).
- Thousands place: \(9 + 8 = 17\). Write down 7 and carry over 1.
- Ten-thousands place: \(8 + 2 + 1 = 11\). Write down 1 and carry over 1.
- Hundred-thousands place: \(2 + 9 + 1 = 12\).

3. Final result:
$$
289,335 + 928,457 = 1,217,792
$$

---

Problem 2:

$$
689,234 + 540,332
$$

#### Step-by-Step Solution:
1. Align the numbers by place value:
$$
\begin{array}{r}
689,234 \\
+ 540,332 \\
\hline
\end{array}
$$

2. Add from right to left:
- Ones place: \(4 + 2 = 6\).
- Tens place: \(3 + 3 = 6\).
- Hundreds place: \(2 + 3 = 5\).
- Thousands place: \(9 + 0 = 9\).
- Ten-thousands place: \(8 + 4 = 12\). Write down 2 and carry over 1.
- Hundred-thousands place: \(6 + 5 + 1 = 12\).

3. Final result:
$$
689,234 + 540,332 = 1,229,566
$$

---

Problem 3:

$$
518,235 + 481,578
$$

#### Step-by-Step Solution:
1. Align the numbers by place value:
$$
\begin{array}{r}
518,235 \\
+ 481,578 \\
\hline
\end{array}
$$

2. Add from right to left:
- Ones place: \(5 + 8 = 13\). Write down 3 and carry over 1.
- Tens place: \(3 + 7 + 1 = 11\). Write down 1 and carry over 1.
- Hundreds place: \(2 + 5 + 1 = 8\).
- Thousands place: \(8 + 1 = 9\).
- Ten-thousands place: \(1 + 8 = 9\).
- Hundred-thousands place: \(5 + 4 = 9\).

3. Final result:
$$
518,235 + 481,578 = 999,813
$$

---

Problem 4:

$$
452,928 + 788,429
$$

#### Step-by-Step Solution:
1. Align the numbers by place value:
$$
\begin{array}{r}
452,928 \\
+ 788,429 \\
\hline
\end{array}
$$

2. Add from right to left:
- Ones place: \(8 + 9 = 17\). Write down 7 and carry over 1.
- Tens place: \(2 + 2 + 1 = 5\).
- Hundreds place: \(9 + 4 = 13\). Write down 3 and carry over 1.
- Thousands place: \(2 + 8 + 1 = 11\). Write down 1 and carry over 1.
- Ten-thousands place: \(5 + 8 + 1 = 14\). Write down 4 and carry over 1.
- Hundred-thousands place: \(4 + 7 + 1 = 12\).

3. Final result:
$$
452,928 + 788,429 = 1,241,357
$$

---

Problem 5:

$$
289,452 + 782,259
$$

#### Step-by-Step Solution:
1. Align the numbers by place value:
$$
\begin{array}{r}
289,452 \\
+ 782,259 \\
\hline
\end{array}
$$

2. Add from right to left:
- Ones place: \(2 + 9 = 11\). Write down 1 and carry over 1.
- Tens place: \(5 + 5 + 1 = 11\). Write down 1 and carry over 1.
- Hundreds place: \(4 + 2 + 1 = 7\).
- Thousands place: \(9 + 8 = 17\). Write down 7 and carry over 1.
- Ten-thousands place: \(8 + 2 + 1 = 11\). Write down 1 and carry over 1.
- Hundred-thousands place: \(2 + 7 + 1 = 10\).

3. Final result:
$$
289,452 + 782,259 = 1,071,711
$$

---

Problem 6:

$$
658,248 + 649,249
$$

#### Step-by-Step Solution:
1. Align the numbers by place value:
$$
\begin{array}{r}
658,248 \\
+ 649,249 \\
\hline
\end{array}
$$

2. Add from right to left:
- Ones place: \(8 + 9 = 17\). Write down 7 and carry over 1.
- Tens place: \(4 + 4 + 1 = 9\).
- Hundreds place: \(2 + 2 = 4\).
- Thousands place: \(8 + 9 = 17\). Write down 7 and carry over 1.
- Ten-thousands place: \(5 + 4 + 1 = 10\). Write down 0 and carry over 1.
- Hundred-thousands place: \(6 + 6 + 1 = 13\).

3. Final result:
$$
658,248 + 649,249 = 1,307,497
$$

---

Problem 7:

$$
482,009 + 278,998
$$

#### Step-by-Step Solution:
1. Align the numbers by place value:
$$
\begin{array}{r}
482,009 \\
+ 278,998 \\
\hline
\end{array}
$$

2. Add from right to left:
- Ones place: \(9 + 8 = 17\). Write down 7 and carry over 1.
- Tens place: \(0 + 9 + 1 = 10\). Write down 0 and carry over 1.
- Hundreds place: \(0 + 9 + 1 = 10\). Write down 0 and carry over 1.
- Thousands place: \(2 + 8 + 1 = 11\). Write down 1 and carry over 1.
- Ten-thousands place: \(8 + 7 + 1 = 16\). Write down 6 and carry over 1.
- Hundred-thousands place: \(4 + 2 + 1 = 7\).

3. Final result:
$$
482,009 + 278,998 = 760,007
$$

---

Problem 8:

$$
352,591 + 543,499
$$

#### Step-by-Step Solution:
1. Align the numbers by place value:
$$
\begin{array}{r}
352,591 \\
+ 543,499 \\
\hline
\end{array}
$$

2. Add from right to left:
- Ones place: \(1 + 9 = 10\). Write down 0 and carry over 1.
- Tens place: \(9 + 9 + 1 = 19\). Write down 9 and carry over 1.
- Hundreds place: \(5 + 4 + 1 = 10\). Write down 0 and carry over 1.
- Thousands place: \(2 + 3 + 1 = 6\).
- Ten-thousands place: \(5 + 4 = 9\).
- Hundred-thousands place: \(3 + 5 = 8\).

3. Final result:
$$
352,591 + 543,499 = 896,090
$$

---

Problem 9:

$$
161,391 + 538,329
$$

#### Step-by-Step Solution:
1. Align the numbers by place value:
$$
\begin{array}{r}
161,391 \\
+ 538,329 \\
\hline
\end{array}
$$

2. Add from right to left:
- Ones place: \(1 + 9 = 10\). Write down 0 and carry over 1.
- Tens place: \(9 + 2 + 1 = 12\). Write down 2 and carry over 1.
- Hundreds place: \(3 + 3 + 1 = 7\).
- Thousands place: \(1 + 8 = 9\).
- Ten-thousands place: \(6 + 3 = 9\).
- Hundred-thousands place: \(1 + 5 = 6\).

3. Final result:
$$
161,391 + 538,329 = 699,720
$$

---

Problem 10:

$$
782,190 + 420,445
$$

#### Step-by-Step Solution:
1. Align the numbers by place value:
$$
\begin{array}{r}
782,190 \\
+ 420,445 \\
\hline
\end{array}
$$

2. Add from right to left:
- Ones place: \(0 + 5 = 5\).
- Tens place: \(9 + 4 = 13\). Write down 3 and carry over 1.
- Hundreds place: \(1 + 4 + 1 = 6\).
- Thousands place: \(2 + 0 = 2\).
- Ten-thousands place: \(8 + 2 = 10\). Write down 0 and carry over 1.
- Hundred-thousands place: \(7 + 4 + 1 = 12\).

3. Final result:
$$
782,190 + 420,445 = 1,202,635
$$

---

Final Answers:

$$
\boxed{
\begin{aligned}
1. & \ 1,217,792 \\
2. & \ 1,229,566 \\
3. & \ 999,813 \\
4. & \ 1,241,357 \\
5. & \ 1,071,711 \\
6. & \ 1,307,497 \\
7. & \ 760,007 \\
8. & \ 896,090 \\
9. & \ 699,720 \\
10. & \ 1,202,635 \\
\end{aligned}
}
$$