Place Value Worksheets | Place Value Worksheets for Practice - Free Printable

Let's solve each problem step by step. In each number, a digit is underlined (indicated by the arrow). We need to determine:

1. What place the selected digit is in (e.g., ones, tens, hundreds, etc.)
2. What value the selected digit has (e.g., 500 for a 5 in the hundreds place)

We'll go through each one:

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1) 86,815.739

Selected digit: 7
- Place: Tenths (first digit after decimal)
- Value: 0.7

> ✔ Place: Tenths
> ✔ Value: 0.7

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2) 36,363.222

Selected digit: 2 (first one after decimal)
- Place: Tenths
- Value: 0.2

> ✔ Place: Tenths
> ✔ Value: 0.2

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3) 61,168.877

Selected digit: 8 (after decimal, first digit)
- Place: Tenths
- Value: 0.8

> ✔ Place: Tenths
> ✔ Value: 0.8

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4) 33,835.962

Selected digit: 9 (after decimal, first digit)
- Place: Tenths
- Value: 0.9

> ✔ Place: Tenths
> ✔ Value: 0.9

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5) 15,867.879

Selected digit: 8 (after decimal, first digit)
- Place: Tenths
- Value: 0.8

> ✔ Place: Tenths
> ✔ Value: 0.8

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6) 85,889.353

Selected digit: 8 (third digit from left, in thousands place?) Let's count:

Number: 85,889.353
Digits:
- 8 → Ten-thousands
- 5 → Thousands
- 8 → Hundreds
- 8 → Tens
- 9 → Ones
→ So the selected digit is the second 8, which is in the Hundreds place.

Wait — actually, looking at the number:
85,889.353
Break it down:
- 8 → 80,000 (ten-thousands)
- 5 → 5,000 (thousands)
- 8 → 800 (hundreds)
- 8 → 80 (tens)
- 9 → 9 (ones)

The selected digit is the second 8 from the left, which is in the hundreds place.

So:
- Place: Hundreds
- Value: 800

> ✔ Place: Hundreds
> ✔ Value: 800

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7) 98,685.471

Selected digit: 6
Number: 98,685.471
Breakdown:
- 9 → 90,000
- 8 → 8,000
- 6 → 600 → Hundreds
- 8 → 80 → Tens
- 5 → 5 → Ones

So the 6 is in the hundreds place.

- Place: Hundreds
- Value: 600

> ✔ Place: Hundreds
> ✔ Value: 600

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8) 38,169.271

Selected digit: 1
Number: 38,169.271
Breakdown:
- 3 → 30,000
- 8 → 8,000
- 1 → 100 → Hundreds
- 6 → 60 → Tens
- 9 → 9 → Ones

So the 1 is in the hundreds place.

- Place: Hundreds
- Value: 100

> ✔ Place: Hundreds
> ✔ Value: 100

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9) 39,648.129

Selected digit: 1
After decimal: .129
- 1 → Tenths
- 2 → Hundredths
- 9 → Thousandths

So 1 is in the tenths place.

- Place: Tenths
- Value: 0.1

> ✔ Place: Tenths
> ✔ Value: 0.1

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10) 18,276.594

Selected digit: 5
After decimal: .594
- 5 → Tenths
- 9 → Hundredths
- 4 → Thousandths

So 5 is in the tenths place.

- Place: Tenths
- Value: 0.5

> ✔ Place: Tenths
> ✔ Value: 0.5

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✔ Final Answers:

| # | Number | Selected Digit | Place | Value |
|---|---------------|----------------|-------------|---------|
| 1 | 86,815.739 | 7 | Tenths | 0.7 |
| 2 | 36,363.222 | 2 | Tenths | 0.2 |
| 3 | 61,168.877 | 8 | Tenths | 0.8 |
| 4 | 33,835.962 | 9 | Tenths | 0.9 |
| 5 | 15,867.879 | 8 | Tenths | 0.8 |
| 6 | 85,889.353 | 8 | Hundreds | 800 |
| 7 | 98,685.471 | 6 | Hundreds | 600 |
| 8 | 38,169.271 | 1 | Hundreds | 100 |
| 9 | 39,648.129 | 1 | Tenths | 0.1 |
|10 | 18,276.594 | 5 | Tenths | 0.5 |

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📝 Explanation Summary:

- Place refers to the position of the digit in the number (e.g., ones, tens, hundreds, tenths, hundredths).
- Value is the actual amount that digit represents based on its place.
- For whole numbers: right to left → ones, tens, hundreds, thousands, ten-thousands...
- For decimals: left to right after decimal → tenths, hundredths, thousandths...

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