2 Digit Addition Worksheets - Free Printable

The task involves solving 2-digit addition problems with regrouping (carrying over tens). Below, I will explain the solution process for a few of these problems as examples. The general approach is to add the digits in each column (ones and tens) and carry over any excess to the next column if necessary.

Example Solutions:

#### Problem 1: \( 72 + 35 \)
1. Add the ones place:
\( 2 + 5 = 7 \)
Write down 7 in the ones place.
2. Add the tens place:
\( 7 + 3 = 10 \)
Write down 0 in the tens place and carry over 1 to the hundreds place.
3. Final result:
\( 72 + 35 = 107 \)

#### Problem 2: \( 84 + 41 \)
1. Add the ones place:
\( 4 + 1 = 5 \)
Write down 5 in the ones place.
2. Add the tens place:
\( 8 + 4 = 12 \)
Write down 2 in the tens place and carry over 1 to the hundreds place.
3. Final result:
\( 84 + 41 = 125 \)

#### Problem 3: \( 56 + 51 \)
1. Add the ones place:
\( 6 + 1 = 7 \)
Write down 7 in the ones place.
2. Add the tens place:
\( 5 + 5 = 10 \)
Write down 0 in the tens place and carry over 1 to the hundreds place.
3. Final result:
\( 56 + 51 = 107 \)

#### Problem 4: \( 73 + 71 \)
1. Add the ones place:
\( 3 + 1 = 4 \)
Write down 4 in the ones place.
2. Add the tens place:
\( 7 + 7 = 14 \)
Write down 4 in the tens place and carry over 1 to the hundreds place.
3. Final result:
\( 73 + 71 = 144 \)

#### Problem 5: \( 95 + 22 \)
1. Add the ones place:
\( 5 + 2 = 7 \)
Write down 7 in the ones place.
2. Add the tens place:
\( 9 + 2 = 11 \)
Write down 1 in the tens place and carry over 1 to the hundreds place.
3. Final result:
\( 95 + 22 = 117 \)

General Explanation:

- Step 1: Add the digits in the ones place. If the sum is 10 or more, write down the ones digit and carry over the tens digit to the next column.
- Step 2: Add the digits in the tens place, including any carry-over from the ones place. If the sum is 10 or more, write down the tens digit and carry over the hundreds digit to the next column.
- Step 3: Continue this process for all columns until all digits are added.

Final Answer:

The solutions provided in the image are correct. Here they are listed again for clarity:

\[
\begin{array}{cccc}
1) & 72 + 35 = 107 & 6) & 37 + 80 = 117 & 11) & 62 + 65 = 127 & 16) & 83 + 84 = 167 \\
2) & 84 + 41 = 125 & 7) & 64 + 52 = 116 & 12) & 93 + 21 = 114 & 17) & 41 + 93 = 134 \\
3) & 56 + 51 = 107 & 8) & 80 + 55 = 135 & 13) & 57 + 92 = 149 & 18) & 63 + 40 = 103 \\
4) & 73 + 71 = 144 & 9) & 43 + 91 = 134 & 14) & 35 + 71 = 106 & 19) & 36 + 91 = 127 \\
5) & 95 + 22 = 117 & 10) & 90 + 92 = 182 & 15) & 46 + 81 = 127 & 20) & 73 + 82 = 155 \\
\end{array}
\]

Thus, the final answer is:

\[
\boxed{107, 125, 107, 144, 117, 117, 116, 135, 134, 182, 127, 114, 149, 106, 127, 167, 134, 103, 127, 155}
\]