3-Digit Addition Practice Worksheet Using Expanded Form Strategy

The task involves solving 3-digit addition problems using the expanded form strategy with regrouping. Let's solve each problem step by step.

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Problem 1: \( 504 + 715 \)

#### Step 1: Write in expanded form
- \( 504 = 500 + 0 + 4 \)
- \( 715 = 700 + 10 + 5 \)

#### Step 2: Add each place value separately
- Hundreds: \( 500 + 700 = 1200 \)
- Tens: \( 0 + 10 = 10 \)
- Ones: \( 4 + 5 = 9 \)

#### Step 3: Combine the results
- \( 1200 + 10 + 9 = 1219 \)

#### Final Answer:
\[ \boxed{1219} \]

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Problem 2: \( 183 + 416 \)

#### Step 1: Write in expanded form
- \( 183 = 100 + 80 + 3 \)
- \( 416 = 400 + 10 + 6 \)

#### Step 2: Add each place value separately
- Hundreds: \( 100 + 400 = 500 \)
- Tens: \( 80 + 10 = 90 \)
- Ones: \( 3 + 6 = 9 \)

#### Step 3: Combine the results
- \( 500 + 90 + 9 = 599 \)

#### Final Answer:
\[ \boxed{599} \]

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Problem 3: \( 340 + 675 \)

#### Step 1: Write in expanded form
- \( 340 = 300 + 40 + 0 \)
- \( 675 = 600 + 70 + 5 \)

#### Step 2: Add each place value separately
- Hundreds: \( 300 + 600 = 900 \)
- Tens: \( 40 + 70 = 110 \) (Regroup: \( 110 = 100 + 10 \))
- Ones: \( 0 + 5 = 5 \)

#### Step 3: Combine the results
- Add the regrouped hundreds: \( 900 + 100 = 1000 \)
- Tens: \( 10 \)
- Ones: \( 5 \)
- Total: \( 1000 + 10 + 5 = 1015 \)

#### Final Answer:
\[ \boxed{1015} \]

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Problem 4: \( 398 + 164 \)

#### Step 1: Write in expanded form
- \( 398 = 300 + 90 + 8 \)
- \( 164 = 100 + 60 + 4 \)

#### Step 2: Add each place value separately
- Hundreds: \( 300 + 100 = 400 \)
- Tens: \( 90 + 60 = 150 \) (Regroup: \( 150 = 100 + 50 \))
- Ones: \( 8 + 4 = 12 \) (Regroup: \( 12 = 10 + 2 \))

#### Step 3: Combine the results
- Add the regrouped hundreds: \( 400 + 100 = 500 \)
- Tens: \( 50 + 10 = 60 \)
- Ones: \( 2 \)
- Total: \( 500 + 60 + 2 = 562 \)

#### Final Answer:
\[ \boxed{562} \]

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Problem 5: \( 223 + 495 \)

#### Step 1: Write in expanded form
- \( 223 = 200 + 20 + 3 \)
- \( 495 = 400 + 90 + 5 \)

#### Step 2: Add each place value separately
- Hundreds: \( 200 + 400 = 600 \)
- Tens: \( 20 + 90 = 110 \) (Regroup: \( 110 = 100 + 10 \))
- Ones: \( 3 + 5 = 8 \)

#### Step 3: Combine the results
- Add the regrouped hundreds: \( 600 + 100 = 700 \)
- Tens: \( 10 \)
- Ones: \( 8 \)
- Total: \( 700 + 10 + 8 = 718 \)

#### Final Answer:
\[ \boxed{718} \]

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Problem 6: \( 864 + 511 \)

#### Step 1: Write in expanded form
- \( 864 = 800 + 60 + 4 \)
- \( 511 = 500 + 10 + 1 \)

#### Step 2: Add each place value separately
- Hundreds: \( 800 + 500 = 1300 \)
- Tens: \( 60 + 10 = 70 \)
- Ones: \( 4 + 1 = 5 \)

#### Step 3: Combine the results
- \( 1300 + 70 + 5 = 1375 \)

#### Final Answer:
\[ \boxed{1375} \]

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Problem 7: \( 175 + 527 \)

#### Step 1: Write in expanded form
- \( 175 = 100 + 70 + 5 \)
- \( 527 = 500 + 20 + 7 \)

#### Step 2: Add each place value separately
- Hundreds: \( 100 + 500 = 600 \)
- Tens: \( 70 + 20 = 90 \)
- Ones: \( 5 + 7 = 12 \) (Regroup: \( 12 = 10 + 2 \))

#### Step 3: Combine the results
- Add the regrouped hundreds: \( 600 + 10 = 610 \)
- Tens: \( 90 \)
- Ones: \( 2 \)
- Total: \( 610 + 90 + 2 = 702 \)

#### Final Answer:
\[ \boxed{702} \]

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Problem 8: \( 249 + 112 \)

#### Step 1: Write in expanded form
- \( 249 = 200 + 40 + 9 \)
- \( 112 = 100 + 10 + 2 \)

#### Step 2: Add each place value separately
- Hundreds: \( 200 + 100 = 300 \)
- Tens: \( 40 + 10 = 50 \)
- Ones: \( 9 + 2 = 11 \) (Regroup: \( 11 = 10 + 1 \))

#### Step 3: Combine the results
- Add the regrouped hundreds: \( 300 + 10 = 310 \)
- Tens: \( 50 \)
- Ones: \( 1 \)
- Total: \( 310 + 50 + 1 = 361 \)

#### Final Answer:
\[ \boxed{361} \]

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Final Answers:

1. \( \boxed{1219} \)
2. \( \boxed{599} \)
3. \( \boxed{1015} \)
4. \( \boxed{562} \)
5. \( \boxed{718} \)
6. \( \boxed{1375} \)
7. \( \boxed{702} \)
8. \( \boxed{361} \)