Place Value Conversion 4-Digits Sheet 1: A math worksheet designed to help students practice converting between different place values, including a puzzle section to engage learners.

Let's solve the Place Value Conversion 4-Digits Sheet 1 step by step, including both the conversion problems and the puzzle at the end.

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🔢 Understanding Place Value:

As stated in the sheet:
- Moving left on the place value chart increases the value by a factor of 10.
- For example:
- 1 ten = 10 ones
- 1 hundred = 10 tens = 100 ones
- 1 thousand = 10 hundreds = 100 tens = 1000 ones

We’ll use this logic to solve each problem.

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## ✔ Part 1: Missing Conversion Facts

| # | Problem | Solution | Explanation |
|---|--------|---------|-----------|
| 1) | 5 hundreds = _____ ones | 500 | 5 × 100 = 500 |
| 2) | 60 ones = _____ tens | 6 | 60 ÷ 10 = 6 |
| 3) | 7 thousands = _____ hundreds | 70 | 7 × 10 = 70 hundreds (since 1 thousand = 10 hundreds) |
| 4) | 30 tens = _____ hundreds | 3 | 30 tens = 300 ones → 300 ÷ 100 = 3 hundreds |
| 5) | 60 ones = _____ tens | 6 | Same as #2 |
| 6) | 3 thousands = _____ hundreds | 30 | 3 × 10 = 30 hundreds |
| 7) | 50 hundreds = _____ thousands | 5 | 50 ÷ 10 = 5 thousands |
| 8) | 1 thousand = _____ ones | 1000 | 1 × 1000 = 1000 |
| 9) | 8 hundreds = _____ ones | 800 | 8 × 100 = 800 |
|10) | 40 ones = _____ tens | 4 | 40 ÷ 10 = 4 |
|11) | 4 thousands = _____ tens | 400 | 4 × 100 = 400 tens (since 1 thousand = 100 tens) |
|12) | 80 hundreds = _____ thousands | 8 | 80 ÷ 10 = 8 thousands |
|13) | 30 tens = _____ ones | 300 | 30 × 10 = 300 |
|14) | _____ hundreds = 400 ones | 4 | 400 ÷ 100 = 4 hundreds |
|15) | 70 tens = _____ hundreds | 7 | 70 tens = 700 ones → 700 ÷ 100 = 7 hundreds |
|16) | 5 hundreds = _____ tens | 50 | 5 × 10 = 50 tens |
|17) | 60 tens = _____ hundreds | 6 | 60 tens = 600 ones → 600 ÷ 100 = 6 hundreds |
|18) | 4000 ones = _____ thousands | 4 | 4000 ÷ 1000 = 4 |
|19) | 50 tens = _____ ones | 500 | 50 × 10 = 500 |
|20) | 4000 ones = _____ hundreds | 40 | 4000 ÷ 100 = 40 hundreds |
|21) | _____ thousands = 200 tens | 2 | 200 tens = 2000 ones → 2000 ÷ 1000 = 2 thousands |
|22) | _____ hundreds = 9 thousands | 90 | 9 × 10 = 90 hundreds |

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✔ Final Answers for Part 1:

1) 500
2) 6
3) 70
4) 3
5) 6
6) 30
7) 5
8) 1000
9) 800
10) 4
11) 400
12) 8
13) 300
14) 4
15) 7
16) 50
17) 6
18) 4
19) 500
20) 40
21) 2
22) 90

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## 🧩 Puzzle Time – Solve the Riddle

> I am worth more than 30 hundreds.
> I am less than 7000 ones.
> My tens digit is greater than my ones.
> I am a multiple of 5.
> Who am I?

Let’s analyze each clue:

Step 1: "I am worth more than 30 hundreds"

- 30 hundreds = 30 × 100 = 3000
- So number > 3000

Step 2: "I am less than 7000 ones"

- 7000 ones = 7000
- So number < 7000
- Therefore: 3000 < number < 7000

Step 3: "My tens digit is greater than my ones digit"

- Tens digit > Ones digit

Step 4: "I am a multiple of 5"

- Last digit must be 0 or 5

Now check the options:

```
3726 5290 6423
7185 4428 5925
```

Let’s go through each:

#### 1) 3726
- Between 3000 and 7000? Yes ✔
- Multiple of 5? Ends in 6 → ✘ No

#### 2) 5290
- Between 3000 and 7000? Yes ✔
- Multiple of 5? Ends in 0 → ✔
- Tens digit = 9, ones digit = 0 → 9 > 0 → ✔
- All clues satisfied! Let’s keep it.

#### 3) 6423
- Between 3000 and 7000? Yes ✔
- Ends in 3 → Not divisible by 5 → ✘

#### 4) 7185
- 7185 > 7000 → ✘ (must be less than 7000)

#### 5) 4428
- Ends in 8 → not multiple of 5 → ✘

#### 6) 5925
- Between 3000 and 7000? Yes ✔
- Ends in 5 → multiple of 5 → ✔
- Tens digit = 2, ones digit = 5 → 2 > 5? ✘ No

Only 5290 satisfies all conditions.

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✔ Final Answer to Puzzle: 5290

Let’s verify:
- More than 3000? 5290 > 3000 → ✔
- Less than 7000? 5290 < 7000 → ✔
- Tens digit (9) > ones digit (0)? 9 > 0 → ✔
- Multiple of 5? Ends in 0 → ✔

✔ All clues satisfied!

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## ✔ Final Answers Summary:

Conversion Problems:

1) 500
2) 6
3) 70
4) 3
5) 6
6) 30
7) 5
8) 1000
9) 800
10) 4
11) 400
12) 8
13) 300
14) 4
15) 7
16) 50
17) 6
18) 4
19) 500
20) 40
21) 2
22) 90

Puzzle Answer:

👉 5290

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