4th Grade Place Value Worksheets with Answer Key - Free Printable

Let's solve each part of the Place Value - Relationship Worksheet step by step.

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a) 6634

> The value of 6 in the thousands place is 10 times the value of 6 in the hundreds place.

✔ This one is already filled in correctly.

- The first 6 is in the thousands place → value = 6,000
- The second 6 is in the hundreds place → value = 600
- 6,000 ÷ 600 = 10 → So yes, it’s 10 times.

✔️ Correct!

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b) 34487

> The value of 4 in the ________ place is ____ times the value of ___ in the hundreds place.

Let’s break down the number:
3 4 4 8 7
From left to right:
- Ten thousands: 3
- Thousands: 4
- Hundreds: 4
- Tens: 8
- Ones: 7

So:
- First 4 is in the thousands place → value = 4,000
- Second 4 is in the hundreds place → value = 400

Now compare:
- 4,000 ÷ 400 = 10

So:
> The value of 4 in the thousands place is 10 times the value of 4 in the hundreds place.

✔ Answer:
thousands, 10, 4

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c) 448

> The value of 4 in the ________ place is ____ times the value of ___ in the tens place.

Break down:
4 4 8
- Hundreds: 4 → value = 400
- Tens: 4 → value = 40
- Ones: 8

Compare:
- 400 ÷ 40 = 10

So:
> The value of 4 in the hundreds place is 10 times the value of 4 in the tens place.

✔ Answer:
hundreds, 10, 4

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d) 8422

> The value of 2 in the ________ place is ____ times the value of ___ in the ones place.

Break down:
8 4 2 2
- Thousands: 8
- Hundreds: 4
- Tens: 2 → value = 20
- Ones: 2 → value = 2

Compare:
- 20 ÷ 2 = 10

So:
> The value of 2 in the tens place is 10 times the value of 2 in the ones place.

✔ Answer:
tens, 10, 2

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e) 45,156

> The value of 5 in the ________ place is ____ times the value of ___ in the tens place.

Break down:
4 5 , 1 5 6
- Ten thousands: 4
- Thousands: 5 → value = 5,000
- Hundreds: 1
- Tens: 5 → value = 50
- Ones: 6

We are comparing:
- The 5 in the thousands place → 5,000
- The 5 in the tens place → 50

Now:
- 5,000 ÷ 50 = 100

So:
> The value of 5 in the thousands place is 100 times the value of 5 in the tens place.

✔ Answer:
thousands, 100, 5

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f) 92149

> The value of 9 in the ________ place is ____ times the value of ___ in the ones place.

Break down:
9 2 1 4 9
- Ten thousands: 9 → value = 90,000
- Thousands: 2
- Hundreds: 1
- Tens: 4
- Ones: 9 → value = 9

Compare:
- 90,000 ÷ 9 = 10,000

So:
> The value of 9 in the ten thousands place is 10,000 times the value of 9 in the ones place.

✔ Answer:
ten thousands, 10,000, 9

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✔ Final Answers:

| Problem | Completed Sentence |
|--------|---------------------|
| a | The value of 6 in the thousands place is 10 times the value of 6 in the hundreds place. |
| b | The value of 4 in the thousands place is 10 times the value of 4 in the hundreds place. |
| c | The value of 4 in the hundreds place is 10 times the value of 4 in the tens place. |
| d | The value of 2 in the tens place is 10 times the value of 2 in the ones place. |
| e | The value of 5 in the thousands place is 100 times the value of 5 in the tens place. |
| f | The value of 9 in the ten thousands place is 10,000 times the value of 9 in the ones place. |

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🔍 Key Concept:

In our base-10 number system, each place value is 10 times the value of the place to its right. So:
- Hundreds = 10 × Tens
- Thousands = 10 × Hundreds
- Ten thousands = 10 × Thousands
- And so on.

When comparing digits in different places, divide their actual values (digit × place value) to find how many times greater one is than the other.

Let me know if you'd like this as a printable version!