Place value patterns worksheet for students to complete using number relationships.

Let's solve the problem step by step using place value patterns.

The task asks us to complete a table with three columns:

1. Number
2. 10 times as much as (multiply the number by 10)
3. 1/10 of (divide the number by 10)

We are given an example:
- For 2,000:
- 10 times as much as: $ 2,000 \times 10 = 20,000 $
- 1/10 of: $ 2,000 \div 10 = 200 $

But wait — in the table, it says:
> Example 1: 2,000 is 10 times as much as 200. 1/10 of 20 is 200.

Wait — that seems inconsistent. Let’s double-check.

Actually, the example says:
> "2,000 is 10 times as much as 200" → That means:
$ 200 \times 10 = 2,000 $ → So the original number is 200.

And then: "1/10 of 20 is 200"? That can't be right.

Wait — there's a typo or confusion.

Let’s re-read carefully:

> Example 1: 2,000 is 10 times as much as 200. 1/10 of 20 is 200.

That second part is incorrect:
1/10 of 20 is 2, not 200.

So likely, the example is meant to show:
- 2,000 is 10 times as much as 200 → correct
- And 1/10 of 2,000 is 200 → that makes sense

But the way it's written is confusing.

Looking at the table, the first row is:
- Number: 2,000
- 10 times as much as: 2,000
- 1/10 of: 20

Wait — this doesn’t match either.

Let’s look at the first row:

| Number | 10 times as much as | 1/10 of |
|--------|---------------------|---------|
| 2,000 | 2,000 | 20 |

That can’t be right. If the number is 2,000, then:
- 10 times as much as 2,000 = 20,000
- 1/10 of 2,000 = 200

But the table shows:
- 10 times as much as = 2,000 → so the original number must be 200 (because 200 × 10 = 2,000)
- 1/10 of = 20 → so the number must be 200 (because 200 ÷ 10 = 20)

Ah! So the number is 200? But it says 2,000.

There’s a confusion in labeling.

Let’s reinterpret.

The table has:
- First column: Number
- Second column: 10 times as much as [this number]
- Third column: 1/10 of [this number]

So for row 1:
- Number: 2,000
- 10 times as much as: ??? → should be $ 2,000 \times 10 = 20,000 $
- 1/10 of: ??? → should be $ 2,000 \div 10 = 200 $

But the table currently says:
- 10 times as much as: 2,000 → which would mean the original number is 200
- 1/10 of: 20 → which would mean the number is 200

So it appears the number is actually 200, but it's written as 2,000.

This is likely a typo in the example.

Let’s assume the example is incorrect, and instead use logical place value rules.

Correct Understanding:

For any number:
- 10 times as much as the number = multiply by 10
- 1/10 of the number = divide by 10

So if the number is N:
- 10 times as much as N = $ 10N $
- 1/10 of N = $ N \div 10 $

Now let’s go through each row and fill in correctly.

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Step-by-step Solution:

#### Row 1: Number = 2,000
- 10 times as much as: $ 2,000 \times 10 = 20,000 $
- 1/10 of: $ 2,000 \div 10 = 200 $

But the table shows:
- 10 times as much as: 2,000 → wrong
- 1/10 of: 20 → wrong

So we ignore the example values and recompute.

Let’s assume the number is given, and we compute the other two.

---

Now fill in the table properly:

| Number | 10 times as much as | 1/10 of |
|------------|----------------------|---------|
| 1. 2,000 | 20,000 | 200 |
| 2. 6,000 | 60,000 | 600 |
| 3. 500 | 5,000 | 50 |
| 4. 30 | 300 | 3 |
| 5. 3,000 | 30,000 | 300 |
| 6. 400 | 4,000 | 40 |
| 7. 50,000 | 500,000 | 5,000 |
| 8. 900 | 9,000 | 90 |
| 9. 30,000 | 300,000 | 3,000 |
| 10. 70 | 700 | 7 |
| 11. 6,000 | 60,000 | 600 |
| 12. 10 | 100 | 1 |

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Explanation:

- To find 10 times as much as a number, move the decimal point one place to the right (or add a zero).
- To find 1/10 of a number, move the decimal point one place to the left (or remove a zero).

Examples:
- 2,000 → 10× = 20,000; 1/10 = 200
- 6,000 → 10× = 60,000; 1/10 = 600
- 500 → 10× = 5,000; 1/10 = 50
- 30 → 10× = 300; 1/10 = 3
- 3,000 → 10× = 30,000; 1/10 = 300
- 400 → 10× = 4,000; 1/10 = 40
- 50,000 → 10× = 500,000; 1/10 = 5,000
- 900 → 10× = 9,000; 1/10 = 90
- 30,000 → 10× = 300,000; 1/10 = 3,000
- 70 → 10× = 700; 1/10 = 7
- 6,000 → 10× = 60,000; 1/10 = 600
- 10 → 10× = 100; 1/10 = 1

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Final Answer Table:

| Number | 10 times as much as | 1/10 of |
|------------|----------------------|---------|
| 1. 2,000 | 20,000 | 200 |
| 2. 6,000 | 60,000 | 600 |
| 3. 500 | 5,000 | 50 |
| 4. 30 | 300 | 3 |
| 5. 3,000 | 30,000 | 300 |
| 6. 400 | 4,000 | 40 |
| 7. 50,000 | 500,000 | 5,000 |
| 8. 900 | 9,000 | 90 |
| 9. 30,000 | 300,000 | 3,000 |
| 10. 70 | 700 | 7 |
| 11. 6,000 | 60,000 | 600 |
| 12. 10 | 100 | 1 |

✔ This is the correct solution based on place value patterns.

Note: The example in the image appears to have a typo. It should say:
> "2,000 is 10 times as much as 200. 1/10 of 2,000 is 200."

Not "1/10 of 20 is 200" — that’s incorrect.