2-Digit Addition with Regrouping: Ones - Practice worksheet for math skills.

Problem Description:

The task involves solving a series of 2-digit addition problems with regrouping (carrying over). Each problem requires adding two 2-digit numbers, and some will require carrying over from the ones place to the tens place.

Solution Approach:

1. Understand Regrouping: When the sum of the digits in the ones place is 10 or more, we carry over the extra digit to the tens place.
2. Step-by-Step Addition:
- Add the digits in the ones place first.
- If the sum is 10 or more, write down the ones digit of the sum and carry over the tens digit to the tens place.
- Add the digits in the tens place, including any carry-over from the ones place.
3. Repeat for Each Problem: Apply this process to all the given addition problems.

Step-by-Step Solutions:

#### First Row:
1. 19 + 34:
- Ones: \(9 + 4 = 13\) → Write down 3, carry over 1.
- Tens: \(1 + 1 + 3 = 5\).
- Result: 53.

2. 13 + 18:
- Ones: \(3 + 8 = 11\) → Write down 1, carry over 1.
- Tens: \(1 + 1 + 1 = 3\).
- Result: 31.

3. 77 + 16:
- Ones: \(7 + 6 = 13\) → Write down 3, carry over 1.
- Tens: \(1 + 7 + 1 = 9\).
- Result: 93.

4. 54 + 36:
- Ones: \(4 + 6 = 10\) → Write down 0, carry over 1.
- Tens: \(1 + 5 + 3 = 9\).
- Result: 90.

5. 77 + 19:
- Ones: \(7 + 9 = 16\) → Write down 6, carry over 1.
- Tens: \(1 + 7 + 1 = 9\).
- Result: 96.

#### Second Row:
1. 37 + 44:
- Ones: \(7 + 4 = 11\) → Write down 1, carry over 1.
- Tens: \(1 + 3 + 4 = 8\).
- Result: 81.

2. 66 + 29:
- Ones: \(6 + 9 = 15\) → Write down 5, carry over 1.
- Tens: \(1 + 6 + 2 = 9\).
- Result: 95.

3. 32 + 28:
- Ones: \(2 + 8 = 10\) → Write down 0, carry over 1.
- Tens: \(1 + 3 + 2 = 6\).
- Result: 60.

4. 71 + 19:
- Ones: \(1 + 9 = 10\) → Write down 0, carry over 1.
- Tens: \(1 + 7 + 1 = 9\).
- Result: 90.

5. 38 + 17:
- Ones: \(8 + 7 = 15\) → Write down 5, carry over 1.
- Tens: \(1 + 3 + 1 = 5\).
- Result: 55.

#### Third Row:
1. 38 + 49:
- Ones: \(8 + 9 = 17\) → Write down 7, carry over 1.
- Tens: \(1 + 3 + 4 = 8\).
- Result: 87.

2. 72 + 19:
- Ones: \(2 + 9 = 11\) → Write down 1, carry over 1.
- Tens: \(1 + 7 + 1 = 9\).
- Result: 91.

3. 76 + 15:
- Ones: \(6 + 5 = 11\) → Write down 1, carry over 1.
- Tens: \(1 + 7 + 1 = 9\).
- Result: 91.

4. 55 + 26:
- Ones: \(5 + 6 = 11\) → Write down 1, carry over 1.
- Tens: \(1 + 5 + 2 = 8\).
- Result: 81.

5. 36 + 47:
- Ones: \(6 + 7 = 13\) → Write down 3, carry over 1.
- Tens: \(1 + 3 + 4 = 8\).
- Result: 83.

#### Fourth Row:
1. 41 + 49:
- Ones: \(1 + 9 = 10\) → Write down 0, carry over 1.
- Tens: \(1 + 4 + 4 = 9\).
- Result: 90.

2. 36 + 14:
- Ones: \(6 + 4 = 10\) → Write down 0, carry over 1.
- Tens: \(1 + 3 + 1 = 5\).
- Result: 50.

3. 78 + 15:
- Ones: \(8 + 5 = 13\) → Write down 3, carry over 1.
- Tens: \(1 + 7 + 1 = 9\).
- Result: 93.

4. 17 + 78:
- Ones: \(7 + 8 = 15\) → Write down 5, carry over 1.
- Tens: \(1 + 1 + 7 = 9\).
- Result: 95.

5. 74 + 19:
- Ones: \(4 + 9 = 13\) → Write down 3, carry over 1.
- Tens: \(1 + 7 + 1 = 9\).
- Result: 93.

#### Fifth Row:
1. 36 + 29:
- Ones: \(6 + 9 = 15\) → Write down 5, carry over 1.
- Tens: \(1 + 3 + 2 = 6\).
- Result: 65.

2. 14 + 38:
- Ones: \(4 + 8 = 12\) → Write down 2, carry over 1.
- Tens: \(1 + 1 + 3 = 5\).
- Result: 52.

3. 39 + 13:
- Ones: \(9 + 3 = 12\) → Write down 2, carry over 1.
- Tens: \(1 + 3 + 1 = 5\).
- Result: 52.

4. 48 + 45:
- Ones: \(8 + 5 = 13\) → Write down 3, carry over 1.
- Tens: \(1 + 4 + 4 = 9\).
- Result: 93.

5. 16 + 38:
- Ones: \(6 + 8 = 14\) → Write down 4, carry over 1.
- Tens: \(1 + 1 + 3 = 5\).
- Result: 54.

Final Answers:

\[
\begin{array}{ccccc}
53 & 31 & 93 & 90 & 96 \\
81 & 95 & 60 & 90 & 55 \\
87 & 91 & 91 & 81 & 83 \\
90 & 50 & 93 & 95 & 93 \\
65 & 52 & 52 & 93 & 54 \\
\end{array}
\]

\boxed{
\begin{array}{ccccc}
53 & 31 & 93 & 90 & 96 \\
81 & 95 & 60 & 90 & 55 \\
87 & 91 & 91 & 81 & 83 \\
90 & 50 & 93 & 95 & 93 \\
65 & 52 & 52 & 93 & 54 \\
\end{array}
}