Add and Subtract 4-Digit and 2-Digit Numbers with Regrouping ... - Free Printable

The task involves solving addition and subtraction problems involving 4-digit and 2-digit numbers, with regrouping where necessary. Let's solve each problem step by step.

---

Problem 1: \( 5029 + 64 \)

1. Align the numbers by place value:
```
5029
+ 64
```

2. Add from right to left:
- Ones place: \( 9 + 4 = 13 \). Write down 3 and carry over 1.
- Tens place: \( 2 + 6 + 1 (\text{carry}) = 9 \).
- Hundreds place: \( 0 + 0 = 0 \).
- Thousands place: \( 5 + 0 = 5 \).

Result:
```
5029
+ 64
------
5093
```

Answer: 5093

---

Problem 2: \( 2829 + 72 \)

1. Align the numbers by place value:
```
2829
+ 72
```

2. Add from right to left:
- Ones place: \( 9 + 2 = 11 \). Write down 1 and carry over 1.
- Tens place: \( 2 + 7 + 1 (\text{carry}) = 10 \). Write down 0 and carry over 1.
- Hundreds place: \( 8 + 0 + 1 (\text{carry}) = 9 \).
- Thousands place: \( 2 + 0 = 2 \).

Result:
```
2829
+ 72
------
2901
```

Answer: 2901

---

Problem 3: \( 1899 + 64 \)

1. Align the numbers by place value:
```
1899
+ 64
```

2. Add from right to left:
- Ones place: \( 9 + 4 = 13 \). Write down 3 and carry over 1.
- Tens place: \( 9 + 6 + 1 (\text{carry}) = 16 \). Write down 6 and carry over 1.
- Hundreds place: \( 8 + 0 + 1 (\text{carry}) = 9 \).
- Thousands place: \( 1 + 0 = 1 \).

Result:
```
1899
+ 64
------
1963
```

Answer: 1963

---

Problem 4: \( 2877 + 35 \)

1. Align the numbers by place value:
```
2877
+ 35
```

2. Add from right to left:
- Ones place: \( 7 + 5 = 12 \). Write down 2 and carry over 1.
- Tens place: \( 7 + 3 + 1 (\text{carry}) = 11 \). Write down 1 and carry over 1.
- Hundreds place: \( 8 + 0 + 1 (\text{carry}) = 9 \).
- Thousands place: \( 2 + 0 = 2 \).

Result:
```
2877
+ 35
------
2912
```

Answer: 2912

---

Problem 5: \( 7498 + 69 \)

1. Align the numbers by place value:
```
7498
+ 69
```

2. Add from right to left:
- Ones place: \( 8 + 9 = 17 \). Write down 7 and carry over 1.
- Tens place: \( 9 + 6 + 1 (\text{carry}) = 16 \). Write down 6 and carry over 1.
- Hundreds place: \( 4 + 0 + 1 (\text{carry}) = 5 \).
- Thousands place: \( 7 + 0 = 7 \).

Result:
```
7498
+ 69
------
7567
```

Answer: 7567

---

Problem 6: \( 9295 - 79 \)

1. Align the numbers by place value:
```
9295
- 79
```

2. Subtract from right to left:
- Ones place: \( 5 - 9 \). Borrow 1 from the tens place (9 becomes 8), so \( 15 - 9 = 6 \).
- Tens place: \( 8 - 7 = 1 \).
- Hundreds place: \( 2 - 0 = 2 \).
- Thousands place: \( 9 - 0 = 9 \).

Result:
```
9295
- 79
------
9216
```

Answer: 9216

---

Problem 7: \( 6144 - 68 \)

1. Align the numbers by place value:
```
6144
- 68
```

2. Subtract from right to left:
- Ones place: \( 4 - 8 \). Borrow 1 from the tens place (4 becomes 3), so \( 14 - 8 = 6 \).
- Tens place: \( 3 - 6 \). Borrow 1 from the hundreds place (1 becomes 0), so \( 13 - 6 = 7 \).
- Hundreds place: \( 0 - 0 = 0 \).
- Thousands place: \( 6 - 0 = 6 \).

Result:
```
6144
- 68
------
6076
```

Answer: 6076

---

Problem 8: \( 2651 - 53 \)

1. Align the numbers by place value:
```
2651
- 53
```

2. Subtract from right to left:
- Ones place: \( 1 - 3 \). Borrow 1 from the tens place (5 becomes 4), so \( 11 - 3 = 8 \).
- Tens place: \( 4 - 5 \). Borrow 1 from the hundreds place (6 becomes 5), so \( 14 - 5 = 9 \).
- Hundreds place: \( 5 - 0 = 5 \).
- Thousands place: \( 2 - 0 = 2 \).

Result:
```
2651
- 53
------
2598
```

Answer: 2598

---

Problem 9: \( 7323 - 48 \)

1. Align the numbers by place value:
```
7323
- 48
```

2. Subtract from right to left:
- Ones place: \( 3 - 8 \). Borrow 1 from the tens place (2 becomes 1), so \( 13 - 8 = 5 \).
- Tens place: \( 1 - 4 \). Borrow 1 from the hundreds place (3 becomes 2), so \( 11 - 4 = 7 \).
- Hundreds place: \( 2 - 0 = 2 \).
- Thousands place: \( 7 - 0 = 7 \).

Result:
```
7323
- 48
------
7275
```

Answer: 7275

---

Final Answers:

\[
\boxed{
\begin{array}{ccc}
5093 & 2901 & 1963 \\
2912 & 7567 & 9216 \\
6076 & 2598 & 7275 \\
\end{array}
}
\]