2-Digit Addition with Expanded Form Strategy - No Regrouping Worksheet

Problem Overview:

The task involves solving 2-digit addition problems using the expanded form strategy without regrouping. The expanded form strategy breaks down each number into its tens and ones place values, adds them separately, and then combines the results to get the final answer.

Steps to Solve:

1. Break Down Each Number into Expanded Form:
- Write each number as the sum of its tens and ones place values.
- For example, \( 51 = 50 + 1 \) and \( 25 = 20 + 5 \).

2. Add the Tens Place Values:
- Add the tens digits from both numbers.
- For example, if you have \( 50 \) and \( 20 \), add \( 50 + 20 \).

3. Add the Ones Place Values:
- Add the ones digits from both numbers.
- For example, if you have \( 1 \) and \( 5 \), add \( 1 + 5 \).

4. Combine the Results:
- Add the sum of the tens place values and the sum of the ones place values to get the final answer.
- For example, if the tens sum is \( 70 \) and the ones sum is \( 6 \), the final answer is \( 70 + 6 = 76 \).

5. Write the Answer in Standard Form:
- Combine the expanded form results into a single number.

Solution for Each Problem:

#### Problem 1: \( 51 + 25 \)
- Expanded form:
- \( 51 = 50 + 1 \)
- \( 25 = 20 + 5 \)
- Add the tens:
- \( 50 + 20 = 70 \)
- Add the ones:
- \( 1 + 5 = 6 \)
- Combine:
- \( 70 + 6 = 76 \)

Answer: \( 76 \)

#### Problem 2: \( 76 + 92 \)
- Expanded form:
- \( 76 = 70 + 6 \)
- \( 92 = 90 + 2 \)
- Add the tens:
- \( 70 + 90 = 160 \)
- Add the ones:
- \( 6 + 2 = 8 \)
- Combine:
- \( 160 + 8 = 168 \)

Answer: \( 168 \)

#### Problem 3: \( 35 + 14 \)
- Expanded form:
- \( 35 = 30 + 5 \)
- \( 14 = 10 + 4 \)
- Add the tens:
- \( 30 + 10 = 40 \)
- Add the ones:
- \( 5 + 4 = 9 \)
- Combine:
- \( 40 + 9 = 49 \)

Answer: \( 49 \)

#### Problem 4: \( 40 + 65 \)
- Expanded form:
- \( 40 = 40 + 0 \)
- \( 65 = 60 + 5 \)
- Add the tens:
- \( 40 + 60 = 100 \)
- Add the ones:
- \( 0 + 5 = 5 \)
- Combine:
- \( 100 + 5 = 105 \)

Answer: \( 105 \)

#### Problem 5: \( 83 + 55 \)
- Expanded form:
- \( 83 = 80 + 3 \)
- \( 55 = 50 + 5 \)
- Add the tens:
- \( 80 + 50 = 130 \)
- Add the ones:
- \( 3 + 5 = 8 \)
- Combine:
- \( 130 + 8 = 138 \)

Answer: \( 138 \)

#### Problem 6: \( 11 + 48 \)
- Expanded form:
- \( 11 = 10 + 1 \)
- \( 48 = 40 + 8 \)
- Add the tens:
- \( 10 + 40 = 50 \)
- Add the ones:
- \( 1 + 8 = 9 \)
- Combine:
- \( 50 + 9 = 59 \)

Answer: \( 59 \)

Final Answers:

1. \( 76 \)
2. \( 168 \)
3. \( 49 \)
4. \( 105 \)
5. \( 138 \)
6. \( 59 \)

\[
\boxed{76, 168, 49, 105, 138, 59}
\]