2 Digit Addition and Subtraction Worksheets With and Without - Free Printable

Problem Description:

The task involves solving a series of 2-digit addition problems. The instructions specify rewriting each problem vertically and then solving it. Here are the problems:

1. \( 28 + 9 \)
2. \( 46 + 35 \)
3. \( 78 + 16 \)
4. \( 57 + 61 \)
5. \( 97 + 8 \)
6. \( 69 + 12 \)
7. \( 48 + 27 \)
8. \( 93 + 38 \)
9. \( 65 + 54 \)

Solution Approach:

To solve these problems, we will:
1. Rewrite each addition problem vertically.
2. Perform the addition step by step, starting from the ones place and moving to the tens place.
3. Carry over any values greater than 9 as needed.

---

Step-by-Step Solutions:

#### Problem a: \( 28 + 9 \)
Rewrite vertically:
```
28
+ 9
-----
```
- Add the ones place: \( 8 + 9 = 17 \). Write down 7 and carry over 1.
- Add the tens place: \( 2 + 0 + 1 = 3 \).

Final answer: \( 37 \)

#### Problem b: \( 46 + 35 \)
Rewrite vertically:
```
46
+ 35
-----
```
- Add the ones place: \( 6 + 5 = 11 \). Write down 1 and carry over 1.
- Add the tens place: \( 4 + 3 + 1 = 8 \).

Final answer: \( 81 \)

#### Problem c: \( 78 + 16 \)
Rewrite vertically:
```
78
+ 16
-----
```
- Add the ones place: \( 8 + 6 = 14 \). Write down 4 and carry over 1.
- Add the tens place: \( 7 + 1 + 1 = 9 \).

Final answer: \( 94 \)

#### Problem d: \( 57 + 61 \)
Rewrite vertically:
```
57
+ 61
-----
```
- Add the ones place: \( 7 + 1 = 8 \).
- Add the tens place: \( 5 + 6 = 11 \).

Final answer: \( 118 \)

#### Problem e: \( 97 + 8 \)
Rewrite vertically:
```
97
+ 8
-----
```
- Add the ones place: \( 7 + 8 = 15 \). Write down 5 and carry over 1.
- Add the tens place: \( 9 + 0 + 1 = 10 \).

Final answer: \( 105 \)

#### Problem f: \( 69 + 12 \)
Rewrite vertically:
```
69
+ 12
-----
```
- Add the ones place: \( 9 + 2 = 11 \). Write down 1 and carry over 1.
- Add the tens place: \( 6 + 1 + 1 = 8 \).

Final answer: \( 81 \)

#### Problem g: \( 48 + 27 \)
Rewrite vertically:
```
48
+ 27
-----
```
- Add the ones place: \( 8 + 7 = 15 \). Write down 5 and carry over 1.
- Add the tens place: \( 4 + 2 + 1 = 7 \).

Final answer: \( 75 \)

#### Problem h: \( 93 + 38 \)
Rewrite vertically:
```
93
+ 38
-----
```
- Add the ones place: \( 3 + 8 = 11 \). Write down 1 and carry over 1.
- Add the tens place: \( 9 + 3 + 1 = 13 \).

Final answer: \( 131 \)

#### Problem i: \( 65 + 54 \)
Rewrite vertically:
```
65
+ 54
-----
```
- Add the ones place: \( 5 + 4 = 9 \).
- Add the tens place: \( 6 + 5 = 11 \).

Final answer: \( 119 \)

---

Final Answers:

\[
\boxed{
\begin{array}{ccc}
a. & 37 & \\
b. & 81 & \\
c. & 94 & \\
d. & 118 & \\
e. & 105 & \\
f. & 81 & \\
g. & 75 & \\
h. & 131 & \\
i. & 119 &
\end{array}
}
\]