Place Value Worksheets with Answer Key - Free Printable
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Step-by-step solution for: Place Value Worksheets with Answer Key
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheets with Answer Key
Let's solve this Place Value and Face Value Worksheet step by step.
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- Face Value: The actual value of the digit itself (regardless of its position).
- Example: The face value of 5 is always 5.
- Place Value: The value of the digit based on its position in the number.
- Example: In 7,635, the digit 6 is in the hundreds place, so its place value is 600.
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Now, let’s go through each number one by one. We’ll identify the underlined digit, then determine its place value and face value.
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- Digit: 6
- Position: Hundreds place
- Place Value: 600
- Face Value: 6
✔ Answer:
- Place Value: 600
- Face Value: 6
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- Digit: 7
- Position: Ten thousands place (873,936 → 7 is in the ten thousands place)
- Place Value: 70,000
- Face Value: 7
✔ Answer:
- Place Value: 70,000
- Face Value: 7
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- Digit: 0
- Position: Thousands place
- Place Value: 0 (because any digit × 0 = 0)
- Face Value: 0
✔ Answer:
- Place Value: 0
- Face Value: 0
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- Digit: 7
- Position: Hundreds place
- Place Value: 700
- Face Value: 7
✔ Answer:
- Place Value: 700
- Face Value: 7
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- Digit: 6
- Position: Ten thousands place
- Place Value: 60,000
- Face Value: 6
✔ Answer:
- Place Value: 60,000
- Face Value: 6
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- Digit: 3
- Position: Tens place
- Place Value: 30
- Face Value: 3
✔ Answer:
- Place Value: 30
- Face Value: 3
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- Digit: 8
- Position: Hundreds place
- Place Value: 800
- Face Value: 8
✔ Answer:
- Place Value: 800
- Face Value: 8
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- Digit: 8
- Position: Millions place (the second digit from left is 8 → 68 million → 8 is in millions place)
- Place Value: 8,000,000
- Face Value: 8
✔ Answer:
- Place Value: 8,000,000
- Face Value: 8
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| Number | Place Value | Face Value |
|--------------|------------------|------------|
| ① 7,635 | 600 | 6 |
| ② 873,936 | 70,000 | 7 |
| ③ 870,014 | 0 | 0 |
| ④ 907,988 | 700 | 7 |
| ⑤ 38,560,894 | 60,000 | 6 |
| ⑥ 6,650,934 | 30 | 3 |
| ⑦ 44,560,899 | 800 | 8 |
| ⑧ 68,088,786 | 8,000,000 | 8 |
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✔ Explanation Summary:
- Face value is just the digit itself.
- Place value depends on the digit's position in the number (ones, tens, hundreds, thousands, etc.).
Let me know if you'd like a printable version or need help understanding any part!
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🔍 Definitions:
- Face Value: The actual value of the digit itself (regardless of its position).
- Example: The face value of 5 is always 5.
- Place Value: The value of the digit based on its position in the number.
- Example: In 7,635, the digit 6 is in the hundreds place, so its place value is 600.
---
Now, let’s go through each number one by one. We’ll identify the underlined digit, then determine its place value and face value.
---
✔ Problem 1: 7,635 → underlined digit is 6
- Digit: 6
- Position: Hundreds place
- Place Value: 600
- Face Value: 6
✔ Answer:
- Place Value: 600
- Face Value: 6
---
✔ Problem 2: 873,936 → underlined digit is 7
- Digit: 7
- Position: Ten thousands place (873,936 → 7 is in the ten thousands place)
- Place Value: 70,000
- Face Value: 7
✔ Answer:
- Place Value: 70,000
- Face Value: 7
---
✔ Problem 3: 870,014 → underlined digit is 0
- Digit: 0
- Position: Thousands place
- Place Value: 0 (because any digit × 0 = 0)
- Face Value: 0
✔ Answer:
- Place Value: 0
- Face Value: 0
---
✔ Problem 4: 907,988 → underlined digit is 7
- Digit: 7
- Position: Hundreds place
- Place Value: 700
- Face Value: 7
✔ Answer:
- Place Value: 700
- Face Value: 7
---
✔ Problem 5: 38,560,894 → underlined digit is 6
- Digit: 6
- Position: Ten thousands place
- Place Value: 60,000
- Face Value: 6
✔ Answer:
- Place Value: 60,000
- Face Value: 6
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✔ Problem 6: 6,650,934 → underlined digit is 3
- Digit: 3
- Position: Tens place
- Place Value: 30
- Face Value: 3
✔ Answer:
- Place Value: 30
- Face Value: 3
---
✔ Problem 7: 44,560,899 → underlined digit is 8
- Digit: 8
- Position: Hundreds place
- Place Value: 800
- Face Value: 8
✔ Answer:
- Place Value: 800
- Face Value: 8
---
✔ Problem 8: 68,088,786 → underlined digit is 8
- Digit: 8
- Position: Millions place (the second digit from left is 8 → 68 million → 8 is in millions place)
- Place Value: 8,000,000
- Face Value: 8
✔ Answer:
- Place Value: 8,000,000
- Face Value: 8
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📝 Final Answers:
| Number | Place Value | Face Value |
|--------------|------------------|------------|
| ① 7,635 | 600 | 6 |
| ② 873,936 | 70,000 | 7 |
| ③ 870,014 | 0 | 0 |
| ④ 907,988 | 700 | 7 |
| ⑤ 38,560,894 | 60,000 | 6 |
| ⑥ 6,650,934 | 30 | 3 |
| ⑦ 44,560,899 | 800 | 8 |
| ⑧ 68,088,786 | 8,000,000 | 8 |
---
✔ Explanation Summary:
- Face value is just the digit itself.
- Place value depends on the digit's position in the number (ones, tens, hundreds, thousands, etc.).
Let me know if you'd like a printable version or need help understanding any part!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet and answers.