Math worksheet for practicing place value conversions and breaking down 4-digit numbers into their component parts.
Place Value Conversion 4-Digits Sheet 2 math worksheet with exercises on converting between hundreds, thousands, tens, and ones for 4-digit numbers.
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Show Answer Key & Explanations
Step-by-step solution for: Place Value 4 Digit Numbers
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Show Answer Key & Explanations
Step-by-step solution for: Place Value 4 Digit Numbers
Let's solve the Place Value Conversion 4-Digits Sheet 2 step by step, explaining each part clearly.
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We need to convert between place values (ones, tens, hundreds, thousands).
#### 1) 4 hundreds = _____ ones
- 1 hundred = 100 ones
- So, 4 hundreds = 4 × 100 = 400 ones
✔ Answer: 400
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#### 2) 8000 ones = _____ thousands
- 1 thousand = 1000 ones
- So, 8000 ÷ 1000 = 8 thousands
✔ Answer: 8
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#### 3) _____ hundreds = 30 tens
- 1 ten = 10 ones → 30 tens = 30 × 10 = 300 ones
- Now convert 300 ones to hundreds: 300 ÷ 100 = 3 hundreds
✔ Answer: 3
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#### 4) _____ hundreds = 80 tens
- 80 tens = 80 × 10 = 800 ones
- 800 ÷ 100 = 8 hundreds
✔ Answer: 8
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#### 5) 60 hundreds = _____ thousands
- 60 hundreds = 60 × 100 = 6000 ones
- 6000 ÷ 1000 = 6 thousands
✔ Answer: 6
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#### 6) 5 thousands = _____ ones
- 5 × 1000 = 5000 ones
✔ Answer: 5000
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#### 7) 20 tens = _____ ones
- 20 × 10 = 200 ones
✔ Answer: 200
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#### 8) 2 thousands = _____ hundreds
- 2 × 1000 = 2000 ones
- 2000 ÷ 100 = 20 hundreds
✔ Answer: 20
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#### 9) 90 hundreds = _____ tens
- 90 × 100 = 9000 ones
- 9000 ÷ 10 = 900 tens
✔ Answer: 900
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#### 10) 3000 ones = _____ thousands
- 3000 ÷ 1000 = 3 thousands
✔ Answer: 3
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#### 11) _____ tens = 3 thousands
- 3 thousands = 3000 ones
- 3000 ÷ 10 = 300 tens
✔ Answer: 300
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#### 12) _____ thousands = 800 tens
- 800 tens = 800 × 10 = 8000 ones
- 8000 ÷ 1000 = 8 thousands
✔ Answer: 8
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| Q | Answer |
|---|--------|
| 1 | 400 |
| 2 | 8 |
| 3 | 3 |
| 4 | 8 |
| 5 | 6 |
| 6 | 5000 |
| 7 | 200 |
| 8 | 20 |
| 9 | 900 |
|10 | 3 |
|11 | 300 |
|12 | 8 |
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This section shows different ways to break down 1356. It's just an example and doesn't require answers.
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We break 2734 into different place value combinations.
#### 1) 2734 = ___ thousands + ___ hundreds + ___ tens + ___ ones
- 2 thousands = 2000
- 7 hundreds = 700
- 3 tens = 30
- 4 ones = 4
→ 2000 + 700 + 30 + 4 = 2734
✔ Answer: 2 thousands + 7 hundreds + 3 tens + 4 ones
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#### 2) 2734 = ___ hundreds + ___ tens + ___ ones
- Total hundreds: 2734 ÷ 100 = 27 full hundreds with remainder
- 27 × 100 = 2700 → remainder = 34
- 34 = 3 tens + 4 ones
✔ Answer: 27 hundreds + 3 tens + 4 ones
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#### 3) 2734 = ___ hundreds + ___ ones
- 27 hundreds = 2700
- Remaining = 2734 - 2700 = 34 ones
✔ Answer: 27 hundreds + 34 ones
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1. 2 thousands + 7 hundreds + 3 tens + 4 ones
2. 27 hundreds + 3 tens + 4 ones
3. 27 hundreds + 34 ones
---
Now do the same for 4218.
#### 1) 4218 = ___ thousands + ___ hundreds + ___ tens + ___ ones
- 4 thousands = 4000
- 2 hundreds = 200
- 1 ten = 10
- 8 ones = 8
→ 4000 + 200 + 10 + 8 = 4218
✔ Answer: 4 thousands + 2 hundreds + 1 ten + 8 ones
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#### 2) 4218 = ____ hundreds + ____ tens + ____ ones
- 4218 ÷ 100 = 42 full hundreds (42 × 100 = 4200), remainder = 18
- 18 = 1 ten + 8 ones
✔ Answer: 42 hundreds + 1 ten + 8 ones
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#### 3) 4218 = _____ tens + _____ ones
- 4218 ÷ 10 = 421 full tens (421 × 10 = 4210), remainder = 8
✔ Answer: 421 tens + 8 ones
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#### 4) 4218 = _______ ones
- Just write it as total ones: 4218 ones
✔ Answer: 4218 ones
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1. 4 thousands + 2 hundreds + 1 ten + 8 ones
2. 42 hundreds + 1 ten + 8 ones
3. 421 tens + 8 ones
4. 4218 ones
---
#### Conversion Facts:
1. 400
2. 8
3. 3
4. 8
5. 6
6. 5000
7. 200
8. 20
9. 900
10. 3
11. 300
12. 8
#### For 2734:
- 2 thousands + 7 hundreds + 3 tens + 4 ones
- 27 hundreds + 3 tens + 4 ones
- 27 hundreds + 34 ones
#### For 4218:
- 4 thousands + 2 hundreds + 1 ten + 8 ones
- 42 hundreds + 1 ten + 8 ones
- 421 tens + 8 ones
- 4218 ones
---
Let me know if you'd like this formatted as a printable answer sheet!
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Part 1: Missing Conversion Facts
We need to convert between place values (ones, tens, hundreds, thousands).
#### 1) 4 hundreds = _____ ones
- 1 hundred = 100 ones
- So, 4 hundreds = 4 × 100 = 400 ones
✔ Answer: 400
---
#### 2) 8000 ones = _____ thousands
- 1 thousand = 1000 ones
- So, 8000 ÷ 1000 = 8 thousands
✔ Answer: 8
---
#### 3) _____ hundreds = 30 tens
- 1 ten = 10 ones → 30 tens = 30 × 10 = 300 ones
- Now convert 300 ones to hundreds: 300 ÷ 100 = 3 hundreds
✔ Answer: 3
---
#### 4) _____ hundreds = 80 tens
- 80 tens = 80 × 10 = 800 ones
- 800 ÷ 100 = 8 hundreds
✔ Answer: 8
---
#### 5) 60 hundreds = _____ thousands
- 60 hundreds = 60 × 100 = 6000 ones
- 6000 ÷ 1000 = 6 thousands
✔ Answer: 6
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#### 6) 5 thousands = _____ ones
- 5 × 1000 = 5000 ones
✔ Answer: 5000
---
#### 7) 20 tens = _____ ones
- 20 × 10 = 200 ones
✔ Answer: 200
---
#### 8) 2 thousands = _____ hundreds
- 2 × 1000 = 2000 ones
- 2000 ÷ 100 = 20 hundreds
✔ Answer: 20
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#### 9) 90 hundreds = _____ tens
- 90 × 100 = 9000 ones
- 9000 ÷ 10 = 900 tens
✔ Answer: 900
---
#### 10) 3000 ones = _____ thousands
- 3000 ÷ 1000 = 3 thousands
✔ Answer: 3
---
#### 11) _____ tens = 3 thousands
- 3 thousands = 3000 ones
- 3000 ÷ 10 = 300 tens
✔ Answer: 300
---
#### 12) _____ thousands = 800 tens
- 800 tens = 800 × 10 = 8000 ones
- 8000 ÷ 1000 = 8 thousands
✔ Answer: 8
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✔ Answers for Part 1:
| Q | Answer |
|---|--------|
| 1 | 400 |
| 2 | 8 |
| 3 | 3 |
| 4 | 8 |
| 5 | 6 |
| 6 | 5000 |
| 7 | 200 |
| 8 | 20 |
| 9 | 900 |
|10 | 3 |
|11 | 300 |
|12 | 8 |
---
Part 2: Ways to Write 1356
This section shows different ways to break down 1356. It's just an example and doesn't require answers.
---
Part 3: Fill in missing parts for 2734
We break 2734 into different place value combinations.
#### 1) 2734 = ___ thousands + ___ hundreds + ___ tens + ___ ones
- 2 thousands = 2000
- 7 hundreds = 700
- 3 tens = 30
- 4 ones = 4
→ 2000 + 700 + 30 + 4 = 2734
✔ Answer: 2 thousands + 7 hundreds + 3 tens + 4 ones
---
#### 2) 2734 = ___ hundreds + ___ tens + ___ ones
- Total hundreds: 2734 ÷ 100 = 27 full hundreds with remainder
- 27 × 100 = 2700 → remainder = 34
- 34 = 3 tens + 4 ones
✔ Answer: 27 hundreds + 3 tens + 4 ones
---
#### 3) 2734 = ___ hundreds + ___ ones
- 27 hundreds = 2700
- Remaining = 2734 - 2700 = 34 ones
✔ Answer: 27 hundreds + 34 ones
---
✔ Answers for 2734:
1. 2 thousands + 7 hundreds + 3 tens + 4 ones
2. 27 hundreds + 3 tens + 4 ones
3. 27 hundreds + 34 ones
---
Part 4: Fill in missing parts for 4218
Now do the same for 4218.
#### 1) 4218 = ___ thousands + ___ hundreds + ___ tens + ___ ones
- 4 thousands = 4000
- 2 hundreds = 200
- 1 ten = 10
- 8 ones = 8
→ 4000 + 200 + 10 + 8 = 4218
✔ Answer: 4 thousands + 2 hundreds + 1 ten + 8 ones
---
#### 2) 4218 = ____ hundreds + ____ tens + ____ ones
- 4218 ÷ 100 = 42 full hundreds (42 × 100 = 4200), remainder = 18
- 18 = 1 ten + 8 ones
✔ Answer: 42 hundreds + 1 ten + 8 ones
---
#### 3) 4218 = _____ tens + _____ ones
- 4218 ÷ 10 = 421 full tens (421 × 10 = 4210), remainder = 8
✔ Answer: 421 tens + 8 ones
---
#### 4) 4218 = _______ ones
- Just write it as total ones: 4218 ones
✔ Answer: 4218 ones
---
✔ Answers for 4218:
1. 4 thousands + 2 hundreds + 1 ten + 8 ones
2. 42 hundreds + 1 ten + 8 ones
3. 421 tens + 8 ones
4. 4218 ones
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✔ Final Complete Answers:
#### Conversion Facts:
1. 400
2. 8
3. 3
4. 8
5. 6
6. 5000
7. 200
8. 20
9. 900
10. 3
11. 300
12. 8
#### For 2734:
- 2 thousands + 7 hundreds + 3 tens + 4 ones
- 27 hundreds + 3 tens + 4 ones
- 27 hundreds + 34 ones
#### For 4218:
- 4 thousands + 2 hundreds + 1 ten + 8 ones
- 42 hundreds + 1 ten + 8 ones
- 421 tens + 8 ones
- 4218 ones
---
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of converting place value worksheet.