Free two-digit addition worksheets in PDF, PNG, and JPG formats for classroom or home use.

The image shows a worksheet titled "Two Digit Addition," which contains several problems involving the addition of two-digit numbers. Below is a step-by-step explanation of how to solve these problems, along with examples.

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General Steps for Solving Two-Digit Addition Problems:

1. Align the Numbers: Ensure that the digits are aligned by place value (ones and tens).
2. Add the Ones Place First: Add the digits in the ones place.
- If the sum is 10 or more, carry over the tens digit to the next column (tens place).
3. Add the Tens Place: Add the digits in the tens place, including any carry-over from the ones place.
4. Write the Final Answer: Combine the results from the ones and tens places.

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Example Problem:

Let's solve one of the problems from the worksheet as an example:
Problem:
$$
27 + 36
$$

#### Step-by-Step Solution:
1. Align the Numbers:
$$
\begin{array}{r}
27 \\
+36 \\
\hline
\end{array}
$$

2. Add the Ones Place:
- Ones place: \( 7 + 6 = 13 \)
- Write down the 3 and carry over the 1 to the tens place.

3. Add the Tens Place:
- Tens place: \( 2 + 3 + 1 \) (including the carry-over)
- \( 2 + 3 + 1 = 6 \)

4. Combine the Results:
- The final answer is \( 63 \).

So,
$$
27 + 36 = 63
$$

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Solving All Problems:

Below are the solutions to all the problems shown in the worksheet. Each problem is solved step-by-step.

#### First Column:
1. \( 27 + 36 = 63 \)
2. \( 26 + 85 = 111 \)
3. \( 50 + 41 = 91 \)

#### Second Column:
1. \( 95 + 85 = 180 \)
2. \( 18 + 41 = 59 \)
3. \( 56 + 62 = 118 \)

#### Third Column:
1. \( 36 + 41 = 77 \)
2. \( 37 + 39 = 76 \)
3. \( 19 + 63 = 82 \)

#### Fourth Column:
1. \( 99 + 55 = 154 \)
2. \( 18 + 50 = 68 \)
3. \( 45 + 42 = 87 \)

#### Fifth Column:
1. \( 50 + 61 = 111 \)
2. \( 26 + 46 = 72 \)
3. \( 41 + 46 = 87 \)

#### Sixth Column:
1. \( 77 + 55 = 132 \)
2. \( 85 + 13 = 98 \)
3. \( 74 + 12 = 86 \)

#### Seventh Column:
1. \( 92 + 40 = 132 \)
2. \( 36 + 41 = 77 \)
3. \( 68 + 52 = 120 \)

#### Eighth Column:
1. \( 36 + 39 = 75 \)
2. \( 98 + 41 = 139 \)
3. \( 85 + 12 = 97 \)

#### Ninth Column:
1. \( 53 + 52 = 105 \)
2. \( 82 + 11 = 93 \)
3. \( 33 + 42 = 75 \)

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Final Answers:

Here are all the answers neatly organized:

#### First Row:
- \( 63 \)
- \( 180 \)
- \( 77 \)
- \( 154 \)
- \( 111 \)
- \( 132 \)
- \( 132 \)
- \( 75 \)
- \( 105 \)

#### Second Row:
- \( 111 \)
- \( 59 \)
- \( 76 \)
- \( 68 \)
- \( 72 \)
- \( 98 \)
- \( 77 \)
- \( 139 \)
- \( 93 \)

#### Third Row:
- \( 91 \)
- \( 118 \)
- \( 82 \)
- \( 87 \)
- \( 87 \)
- \( 86 \)
- \( 120 \)
- \( 97 \)
- \( 75 \)

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Final Answer Box:

$$
\boxed{
\begin{array}{ccccccccc}
63 & 180 & 77 & 154 & 111 & 132 & 132 & 75 & 105 \\
111 & 59 & 76 & 68 & 72 & 98 & 77 & 139 & 93 \\
91 & 118 & 82 & 87 & 87 & 86 & 120 & 97 & 75 \\
\end{array}
}
$$