3rd Grade Math Worksheets Place Value Expanded Form Build Numbers ... - Free Printable

Let's solve each problem step by step to find the missing place value in each 3-digit number. The goal is to determine the missing part of the number based on its expanded form (hundreds, tens, and ones).

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🔹 Problem 1:

______ + 60 + 7 = 367

We know:
- 60 = tens place
- 7 = ones place
- So the missing part is the hundreds place.

Break down 367:
- 300 + 60 + 7 = 367

✔ Answer: 300

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🔹 Problem 2:

______ + 10 + 2 = 312

We have:
- 10 = tens
- 2 = ones
- So missing is hundreds.

Break down 312:
- 300 + 10 + 2 = 312

✔ Answer: 300

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🔹 Problem 3:

200 + ______ + 3 = 213

We have:
- 200 = hundreds
- 3 = ones
- Missing is tens.

Break down 213:
- 200 + 10 + 3 = 213

✔ Answer: 10

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🔹 Problem 4:

400 + ______ + 3 = 473

We have:
- 400 = hundreds
- 3 = ones
- Missing is tens.

Break down 473:
- 400 + 70 + 3 = 473

✔ Answer: 70

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🔹 Problem 5:

______ + 10 + 7 = 917

We have:
- 10 = tens
- 7 = ones
- Missing is hundreds.

Break down 917:
- 900 + 10 + 7 = 917

✔ Answer: 900

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🔹 Problem 6:

100 + 20 + ______ = 121

We have:
- 100 = hundreds
- 20 = tens
- Missing is ones.

Break down 121:
- 100 + 20 + 1 = 121

✔ Answer: 1

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🔹 Problem 7:

500 + 80 + ______ = 581

We have:
- 500 = hundreds
- 80 = tens
- Missing is ones.

Break down 581:
- 500 + 80 + 1 = 581

✔ Answer: 1

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🔹 Problem 8:

200 + ______ + 3 = 293

We have:
- 200 = hundreds
- 3 = ones
- Missing is tens.

Break down 293:
- 200 + 90 + 3 = 293

✔ Answer: 90

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🔹 Problem 9:

______ + 0 + 4 = 904

We have:
- 0 = tens
- 4 = ones
- Missing is hundreds.

Break down 904:
- 900 + 0 + 4 = 904

✔ Answer: 900

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🔹 Problem 10:

500 + 50 + ______ = 556

We have:
- 500 = hundreds
- 50 = tens
- Missing is ones.

Break down 556:
- 500 + 50 + 6 = 556

✔ Answer: 6

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🔹 Problem 11:

200 + ______ + 5 = 285

We have:
- 200 = hundreds
- 5 = ones
- Missing is tens.

Break down 285:
- 200 + 80 + 5 = 285

✔ Answer: 80

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🔹 Problem 12:

______ + 90 + 9 = 399

We have:
- 90 = tens
- 9 = ones
- Missing is hundreds.

Break down 399:
- 300 + 90 + 9 = 399

✔ Answer: 300

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🔹 Problem 13:

500 + 50 + ______ = 559

We have:
- 500 = hundreds
- 50 = tens
- Missing is ones.

Break down 559:
- 500 + 50 + 9 = 559

✔ Answer: 9

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🔹 Problem 14:

700 + 80 + ______ = 789

We have:
- 700 = hundreds
- 80 = tens
- Missing is ones.

Break down 789:
- 700 + 80 + 9 = 789

✔ Answer: 9

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🔹 Problem 15:

600 + ______ + 8 = 628

We have:
- 600 = hundreds
- 8 = ones
- Missing is tens.

Break down 628:
- 600 + 20 + 8 = 628

✔ Answer: 20

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## ✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | 300 |
| 2 | 300 |
| 3 | 10 |
| 4 | 70 |
| 5 | 900 |
| 6 | 1 |
| 7 | 1 |
| 8 | 90 |
| 9 | 900 |
| 10 | 6 |
| 11 | 80 |
| 12 | 300 |
| 13 | 9 |
| 14 | 9 |
| 15 | 20 |

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🧠 Explanation Summary:

To find the missing place value:
1. Break the total number into hundreds, tens, and ones.
2. Identify which place value is missing.
3. Subtract the known parts from the total to find the missing one.

For example:
In `___ + 60 + 7 = 367`
→ Total = 367
→ Known: 60 + 7 = 67
→ Missing = 367 - 67 = 300

This method works for all problems.

Let me know if you'd like this as a printable answer key!