2-Digit Column Addition and Subtraction Worksheet Worksheet - Free Printable

Problem Description:

The image contains two worksheets for practicing column addition and subtraction. The left worksheet involves column addition and subtraction with regrouping/exchanging, while the right worksheet involves column addition and subtraction without regrouping/exchanging. The task is to solve the problems on both worksheets.

---

Solution:

#### Left Worksheet: Column Addition and Subtraction (With Regrouping and Exchanging)

This worksheet involves problems where carrying over (regrouping) or borrowing (exchanging) is necessary. Let's solve each problem step by step.

##### Problem a:
```
4 2
+ 3 9
-----
```
1. Add the ones place: \( 2 + 9 = 11 \). Write down 1 and carry over 1.
2. Add the tens place: \( 4 + 3 + 1 = 8 \).
```
4 2
+ 3 9
-----
8 1
```

##### Problem b:
```
5 7
- 3 8
-----
```
1. Subtract the ones place: \( 7 - 8 \). Borrow 1 from the tens place, making it \( 17 - 8 = 9 \).
2. Subtract the tens place: \( 5 - 1 - 3 = 1 \).
```
5 7
- 3 8
-----
1 9
```

##### Problem c:
```
6 3
+ 2 8
-----
```
1. Add the ones place: \( 3 + 8 = 11 \). Write down 1 and carry over 1.
2. Add the tens place: \( 6 + 2 + 1 = 9 \).
```
6 3
+ 2 8
-----
9 1
```

##### Problem d:
```
7 5
- 4 9
-----
```
1. Subtract the ones place: \( 5 - 9 \). Borrow 1 from the tens place, making it \( 15 - 9 = 6 \).
2. Subtract the tens place: \( 7 - 1 - 4 = 2 \).
```
7 5
- 4 9
-----
2 6
```

##### Problem e:
```
8 4
+ 1 7
-----
```
1. Add the ones place: \( 4 + 7 = 11 \). Write down 1 and carry over 1.
2. Add the tens place: \( 8 + 1 + 1 = 10 \).
```
8 4
+ 1 7
-----
1 0 1
```

##### Problem f:
```
9 2
- 5 6
-----
```
1. Subtract the ones place: \( 2 - 6 \). Borrow 1 from the tens place, making it \( 12 - 6 = 6 \).
2. Subtract the tens place: \( 9 - 1 - 5 = 3 \).
```
9 2
- 5 6
-----
3 6
```

##### Problem g:
```
3 5
+ 4 8
-----
```
1. Add the ones place: \( 5 + 8 = 13 \). Write down 3 and carry over 1.
2. Add the tens place: \( 3 + 4 + 1 = 8 \).
```
3 5
+ 4 8
-----
8 3
```

##### Problem h:
```
6 7
- 2 9
-----
```
1. Subtract the ones place: \( 7 - 9 \). Borrow 1 from the tens place, making it \( 17 - 9 = 8 \).
2. Subtract the tens place: \( 6 - 1 - 2 = 3 \).
```
6 7
- 2 9
-----
3 8
```

##### Problem i:
```
7 6
+ 2 5
-----
```
1. Add the ones place: \( 6 + 5 = 11 \). Write down 1 and carry over 1.
2. Add the tens place: \( 7 + 2 + 1 = 10 \).
```
7 6
+ 2 5
-----
1 0 1
```

##### Problem j:
```
8 3
- 4 7
-----
```
1. Subtract the ones place: \( 3 - 7 \). Borrow 1 from the tens place, making it \( 13 - 7 = 6 \).
2. Subtract the tens place: \( 8 - 1 - 4 = 3 \).
```
8 3
- 4 7
-----
3 6
```

---

#### Right Worksheet: Column Addition and Subtraction (No Regrouping or Exchanging)

This worksheet involves problems where no carrying over or borrowing is necessary. Let's solve each problem step by step.

##### Problem a:
```
4 0
- 2 3
-----
```
1. Subtract the ones place: \( 0 - 3 \). No borrowing needed.
2. Subtract the tens place: \( 4 - 2 = 2 \).
```
4 0
- 2 3
-----
1 7
```

##### Problem b:
```
3 6
+ 3 2
-----
```
1. Add the ones place: \( 6 + 2 = 8 \).
2. Add the tens place: \( 3 + 3 = 6 \).
```
3 6
+ 3 2
-----
6 8
```

##### Problem c:
```
2 6
+ 3 1
-----
```
1. Add the ones place: \( 6 + 1 = 7 \).
2. Add the tens place: \( 2 + 3 = 5 \).
```
2 6
+ 3 1
-----
5 7
```

##### Problem d:
```
4 7
+ 2 2
-----
```
1. Add the ones place: \( 7 + 2 = 9 \).
2. Add the tens place: \( 4 + 2 = 6 \).
```
4 7
+ 2 2
-----
6 9
```

##### Problem e:
```
5 5
- 3 2
-----
```
1. Subtract the ones place: \( 5 - 2 = 3 \).
2. Subtract the tens place: \( 5 - 3 = 2 \).
```
5 5
- 3 2
-----
2 3
```

##### Problem f:
```
8 5
- 3 2
-----
```
1. Subtract the ones place: \( 5 - 2 = 3 \).
2. Subtract the tens place: \( 8 - 3 = 5 \).
```
8 5
- 3 2
-----
5 3
```

##### Problem g:
```
2 4
+ 3 0
-----
```
1. Add the ones place: \( 4 + 0 = 4 \).
2. Add the tens place: \( 2 + 3 = 5 \).
```
2 4
+ 3 0
-----
5 4
```

##### Problem h:
```
4 6
+ 3 3
-----
```
1. Add the ones place: \( 6 + 3 = 9 \).
2. Add the tens place: \( 4 + 3 = 7 \).
```
4 6
+ 3 3
-----
7 9
```

##### Problem i:
```
7 3
- 3 2
-----
```
1. Subtract the ones place: \( 3 - 2 = 1 \).
2. Subtract the tens place: \( 7 - 3 = 4 \).
```
7 3
- 3 2
-----
4 1
```

##### Problem j:
```
6 8
- 2 6
-----
```
1. Subtract the ones place: \( 8 - 6 = 2 \).
2. Subtract the tens place: \( 6 - 2 = 4 \).
```
6 8
- 2 6
-----
4 2
```

##### Problem k:
```
2 2
+ 5 7
-----
```
1. Add the ones place: \( 2 + 7 = 9 \).
2. Add the tens place: \( 2 + 5 = 7 \).
```
2 2
+ 5 7
-----
7 9
```

##### Problem l:
```
7 1
- 3 1
-----
```
1. Subtract the ones place: \( 1 - 1 = 0 \).
2. Subtract the tens place: \( 7 - 3 = 4 \).
```
7 1
- 3 1
-----
4 0
```

##### Problem m:
```
7 2
+ 2 7
-----
```
1. Add the ones place: \( 2 + 7 = 9 \).
2. Add the tens place: \( 7 + 2 = 9 \).
```
7 2
+ 2 7
-----
9 9
```

##### Problem n:
```
4 7
+ 5 1
-----
```
1. Add the ones place: \( 7 + 1 = 8 \).
2. Add the tens place: \( 4 + 5 = 9 \).
```
4 7
+ 5 1
-----
9 8
```

##### Problem o:
```
0 5
- 3 4
-----
```
1. Subtract the ones place: \( 5 - 4 = 1 \).
2. Subtract the tens place: \( 0 - 3 \). This is not possible without borrowing, so this problem is invalid for "no regrouping."

---

Final Answers:

#### Left Worksheet:
```
a. 81
b. 19
c. 91
d. 26
e. 101
f. 36
g. 83
h. 38
i. 101
j. 36
```

#### Right Worksheet:
```
a. 17
b. 68
c. 57
d. 69
e. 23
f. 53
g. 54
h. 79
i. 41
j. 42
k. 79
l. 40
m. 99
n. 98
o. Invalid (requires regrouping)
```

Boxed Final Answer:

\[
\boxed{
\text{Left Worksheet: } 81, 19, 91, 26, 101, 36, 83, 38, 101, 36 \\
\text{Right Worksheet: } 17, 68, 57, 69, 23, 53, 54, 79, 41, 42, 79, 40, 99, 98, \text{Invalid}
}
\]