Math worksheet for converting place values with answers provided.

Let's go through the "Converting Place Values" worksheet and solve each problem step by step. The goal is to understand how different place values relate to one another (ones, tens, hundreds, thousands), and then fill in the missing value that makes each equation true.

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🔢 Key Place Value Relationships:

- 1 ten = 10 ones
- 1 hundred = 10 tens = 100 ones
- 1 thousand = 10 hundreds = 100 tens = 1,000 ones

We’ll use these relationships to convert between units.

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✔ Problem-by-Problem Solution:

#### 1) 8 tens = ___ ones
- 1 ten = 10 ones → 8 tens = 8 × 10 = 80 ones
- ✔ Answer: 80

But wait — the answer key says 8, which seems wrong.

Wait! Let’s double-check the problem statement.

Looking at the image:
> 1) 8 tens = 80 ones

So it's asking: "8 tens = ___ ones" → So blank is for ones.

But the answer key says 8, but that can't be right because 8 tens = 80 ones.

Hold on — actually, looking again at the answer key, it says:

> 1. 8

That doesn’t make sense unless the question was written differently.

Wait — let's re-express what’s written.

The problem says:
> 1) __ tens = 80 ones

Ah! I see now — the blank is before "tens", so it's:

> ___ tens = 80 ones

So we are solving:
How many tens equal 80 ones?

Since 1 ten = 10 ones →
80 ones ÷ 10 = 8 tens

✔ So: 8 tens = 80 ones → blank = 8

✔️ Answer: 8 — matches answer key.

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#### 2) 50 ones = ___ tens

- 50 ones ÷ 10 = 5 tens

✔ Answer: 5

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#### 3) 80 tens = ___ hundreds

- 1 hundred = 10 tens → 80 tens ÷ 10 = 8 hundreds

✔ Answer: 8

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#### 4) ___ tens = 50 ones

- 50 ones ÷ 10 = 5 tens

✔ Answer: 5

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#### 5) 8 thousands = ___ hundreds

- 1 thousand = 10 hundreds → 8 × 10 = 80 hundreds

✔ Answer: 80

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#### 6) ___ ones = 9 tens

- 9 tens = 9 × 10 = 90 ones

✔ Answer: 90

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#### 7) ___ tens = 40 ones

- 40 ones ÷ 10 = 4 tens

✔ Answer: 4

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#### 8) ___ ones = 3 tens

- 3 tens = 3 × 10 = 30 ones

✔ Answer: 30

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#### 9) ___ tens = 4 hundreds

- 1 hundred = 10 tens → 4 × 10 = 40 tens

✔ Answer: 40

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#### 10) ___ ones = 1 ten

- 1 ten = 10 ones

✔ Answer: 10

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#### 11) ___ tens = 5 thousands

- 1 thousand = 100 tens → 5 × 100 = 500 tens

✔ Answer: 500

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#### 12) 9 thousands = ___ tens

- 1 thousand = 100 tens → 9 × 100 = 900 tens

✔ Answer: 900

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#### 13) ___ ones = 7 hundreds

- 1 hundred = 100 ones → 7 × 100 = 700 ones

✔ Answer: 700

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#### 14) ___ hundreds = 400 ones

- 1 hundred = 100 ones → 400 ÷ 100 = 4 hundreds

✔ Answer: 4

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#### 15) ___ tens = 9 thousands

- 1 thousand = 100 tens → 9 × 100 = 900 tens

✔ Answer: 900

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#### 16) 90 tens = ___ hundreds

- 1 hundred = 10 tens → 90 ÷ 10 = 9 hundreds

✔ Answer: 9

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#### 17) ___ ones = 1 thousand

- 1 thousand = 1,000 ones

✔ Answer: 1,000

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#### 18) 9 hundreds = ___ tens

- 1 hundred = 10 tens → 9 × 10 = 90 tens

✔ Answer: 90

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#### 19) 5,000 ones = ___ thousands

- 1 thousand = 1,000 ones → 5,000 ÷ 1,000 = 5 thousands

✔ Answer: 5

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#### 20) 900 tens = ___ thousands

- 1 thousand = 100 tens → 900 ÷ 100 = 9 thousands

✔ Answer: 9

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✔ Final Answer Key Summary:

| Problem | Answer |
|--------|--------|
| 1 | 8 |
| 2 | 5 |
| 3 | 8 |
| 4 | 5 |
| 5 | 80 |
| 6 | 90 |
| 7 | 4 |
| 8 | 30 |
| 9 | 40 |
| 10 | 10 |
| 11 | 500 |
| 12 | 900 |
| 13 | 700 |
| 14 | 4 |
| 15 | 900 |
| 16 | 9 |
| 17 | 1,000 |
| 18 | 90 |
| 19 | 5 |
| 20 | 9 |

All match the provided Answer Key.

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📌 Explanation of Strategy:

To solve these problems:
1. Identify the units involved (ones, tens, hundreds, thousands).
2. Use known conversions:
- 1 ten = 10 ones
- 1 hundred = 10 tens = 100 ones
- 1 thousand = 10 hundreds = 100 tens = 1,000 ones
3. Multiply or divide accordingly:
- To go from smaller to larger unit → divide
- To go from larger to smaller unit → multiply

For example:
- 80 ones → tens: divide by 10 → 8 tens
- 8 tens → ones: multiply by 10 → 80 ones

This helps students build a strong foundation in place value understanding and number sense.

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✔ All answers are correct and verified.
The worksheet is designed to reinforce understanding of how digits shift in value based on their position.