Place Value of Decimals Worksheets - 15 Worksheets Library - Free Printable

Let's solve the Decimal Place Value worksheet step by step.

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Task:

Find all the numbers from the list below that match each of the following place value conditions:

1. 4 in the hundredths place
2. 2 in the tens place
3. 5 in the tenths place
4. 6 in the hundredths place
5. 3 in the tenths place
6. 7 in the hundred place

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List of Numbers:

```
74.342 135.46 74.535 478.84 29.735
423.47 36.5 17.345 36.26 47.59
47.52 127.27 142.35 72.32 22.45
257.44 10.389 82.35 54.167 52.39
47.26 87.862 35.24 27.253 63.584
789.25 715.63 798.4 709.12 799.29
```

We'll go through each condition one at a time.

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1. 4 in the hundredths place

- The hundredths place is the second digit after the decimal point.
- So we look for numbers where the second digit after the decimal is 4.

Let’s check:

- 74.342 → 4 is in the hundredths? → digits: 3 (tenths), 4 (hundredths), 2 (thousandths) → ✔
- 135.46 → 4 is in tenths, 6 in hundredths → ✘
- 74.535 → 5 (tenths), 3 (hundredths) → ✘
- 478.84 → 8 (tenths), 4 (hundredths) → ✔
- 29.735 → 7 (tenths), 3 (hundredths) → ✘
- 423.47 → 4 (tenths), 7 (hundredths) → ✘
- 36.5 → only one decimal → 5 (tenths), no hundredths → ✘
- 17.345 → 3 (tenths), 4 (hundredths) → ✔
- 36.26 → 2 (tenths), 6 (hundredths) → ✘
- 47.59 → 5 (tenths), 9 (hundredths) → ✘
- 47.52 → 5 (tenths), 2 (hundredths) → ✘
- 127.27 → 2 (tenths), 7 (hundredths) → ✘
- 142.35 → 3 (tenths), 5 (hundredths) → ✘
- 72.32 → 3 (tenths), 2 (hundredths) → ✘
- 22.45 → 4 (tenths), 5 (hundredths) → ✘
- 257.44 → 4 (tenths), 4 (hundredths) → ✔
- 10.389 → 3 (tenths), 8 (hundredths) → ✘
- 82.35 → 3 (tenths), 5 (hundredths) → ✘
- 54.167 → 1 (tenths), 6 (hundredths) → ✘
- 52.39 → 3 (tenths), 9 (hundredths) → ✘
- 47.26 → 2 (tenths), 6 (hundredths) → ✘
- 87.862 → 8 (tenths), 6 (hundredths) → ✘
- 35.24 → 2 (tenths), 4 (hundredths) → ✔
- 27.253 → 2 (tenths), 5 (hundredths) → ✘
- 63.584 → 5 (tenths), 8 (hundredths) → ✘
- 789.25 → 2 (tenths), 5 (hundredths) → ✘
- 715.63 → 6 (tenths), 3 (hundredths) → ✘
- 798.4 → 4 (tenths), no hundredths → ✘
- 709.12 → 1 (tenths), 2 (hundredths) → ✘
- 799.29 → 2 (tenths), 9 (hundredths) → ✘

✔ Numbers with 4 in the hundredths place:
- 74.342
- 478.84
- 17.345
- 257.44
- 35.24

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2. 2 in the tens place

- The tens place is the second digit from the right in the whole number part.
- For example, in 123.45, the tens digit is 2.

Check each number:

- 74.342 → 7 (hundreds), 4 (tens) → ✘
- 135.46 → 3 (hundreds), 5 (tens) → ✘
- 74.535 → 7 (hundreds), 4 (tens) → ✘
- 478.84 → 7 (hundreds), 8 (tens) → ✘
- 29.735 → 2 (tens) → ✔
- 423.47 → 2 (tens) → ✔
- 36.5 → 3 (tens) → ✘
- 17.345 → 1 (tens) → ✘
- 36.26 → 3 (tens) → ✘
- 47.59 → 4 (tens) → ✘
- 47.52 → 4 (tens) → ✘
- 127.27 → 2 (tens) → ✔
- 142.35 → 4 (tens) → ✘
- 72.32 → 7 (tens) → ✘
- 22.45 → 2 (tens) → ✔
- 257.44 → 5 (tens) → ✘
- 10.389 → 1 (tens) → ✘
- 82.35 → 8 (tens) → ✘
- 54.167 → 5 (tens) → ✘
- 52.39 → 5 (tens) → ✘
- 47.26 → 4 (tens) → ✘
- 87.862 → 8 (tens) → ✘
- 35.24 → 3 (tens) → ✘
- 27.253 → 2 (tens) → ✔
- 63.584 → 6 (tens) → ✘
- 789.25 → 8 (tens) → ✘
- 715.63 → 1 (tens) → ✘
- 798.4 → 9 (tens) → ✘
- 709.12 → 0 (tens) → ✘
- 799.29 → 9 (tens) → ✘

✔ Numbers with 2 in the tens place:
- 29.735
- 423.47
- 127.27
- 22.45
- 27.253

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3. 5 in the tenths place

- The tenths place is the first digit after the decimal point.

Check:

- 74.342 → 3 → ✘
- 135.46 → 4 → ✘
- 74.535 → 5 → ✔
- 478.84 → 8 → ✘
- 29.735 → 7 → ✘
- 423.47 → 4 → ✘
- 36.5 → 5 → ✔
- 17.345 → 3 → ✘
- 36.26 → 2 → ✘
- 47.59 → 5 → ✔
- 47.52 → 5 → ✔
- 127.27 → 2 → ✘
- 142.35 → 3 → ✘
- 72.32 → 3 → ✘
- 22.45 → 4 → ✘
- 257.44 → 4 → ✘
- 10.389 → 3 → ✘
- 82.35 → 3 → ✘
- 54.167 → 1 → ✘
- 52.39 → 3 → ✘
- 47.26 → 2 → ✘
- 87.862 → 8 → ✘
- 35.24 → 2 → ✘
- 27.253 → 2 → ✘
- 63.584 → 5 → ✔
- 789.25 → 2 → ✘
- 715.63 → 6 → ✘
- 798.4 → 4 → ✘
- 709.12 → 1 → ✘
- 799.29 → 2 → ✘

✔ Numbers with 5 in the tenths place:
- 74.535
- 36.5
- 47.59
- 47.52
- 63.584

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4. 6 in the hundredths place

- Second digit after decimal = 6

Check:

- 74.342 → 4 → ✘
- 135.46 → 6 → ✔
- 74.535 → 3 → ✘
- 478.84 → 4 → ✘
- 29.735 → 3 → ✘
- 423.47 → 7 → ✘
- 36.5 → no hundredths → ✘
- 17.345 → 4 → ✘
- 36.26 → 6 → ✔
- 47.59 → 9 → ✘
- 47.52 → 2 → ✘
- 127.27 → 7 → ✘
- 142.35 → 5 → ✘
- 72.32 → 2 → ✘
- 22.45 → 5 → ✘
- 257.44 → 4 → ✘
- 10.389 → 8 → ✘
- 82.35 → 5 → ✘
- 54.167 → 6 → ✔
- 52.39 → 9 → ✘
- 47.26 → 6 → ✔
- 87.862 → 6 → ✔
- 35.24 → 4 → ✘
- 27.253 → 5 → ✘
- 63.584 → 8 → ✘
- 789.25 → 5 → ✘
- 715.63 → 3 → ✘
- 798.4 → no hundredths → ✘
- 709.12 → 2 → ✘
- 799.29 → 9 → ✘

✔ Numbers with 6 in the hundredths place:
- 135.46
- 36.26
- 54.167
- 47.26
- 87.862

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5. 3 in the tenths place

- First digit after decimal = 3

Check:

- 74.342 → 3 → ✔
- 135.46 → 4 → ✘
- 74.535 → 5 → ✘
- 478.84 → 8 → ✘
- 29.735 → 7 → ✘
- 423.47 → 4 → ✘
- 36.5 → 5 → ✘
- 17.345 → 3 → ✔
- 36.26 → 2 → ✘
- 47.59 → 5 → ✘
- 47.52 → 5 → ✘
- 127.27 → 2 → ✘
- 142.35 → 3 → ✔
- 72.32 → 3 → ✔
- 22.45 → 4 → ✘
- 257.44 → 4 → ✘
- 10.389 → 3 → ✔
- 82.35 → 3 → ✔
- 54.167 → 1 → ✘
- 52.39 → 3 → ✔
- 47.26 → 2 → ✘
- 87.862 → 8 → ✘
- 35.24 → 2 → ✘
- 27.253 → 2 → ✘
- 63.584 → 5 → ✘
- 789.25 → 2 → ✘
- 715.63 → 6 → ✘
- 798.4 → 4 → ✘
- 709.12 → 1 → ✘
- 799.29 → 2 → ✘

✔ Numbers with 3 in the tenths place:
- 74.342
- 17.345
- 142.35
- 72.32
- 10.389
- 82.35
- 52.39

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6. 7 in the hundred place

- The hundreds place is the third digit from the right in the whole number part.
- So we need numbers where the hundreds digit is 7.

Look for numbers ≥ 700 and < 800, or exactly 7xx.

Check:

- 74.342 → 0 hundreds → ✘
- 135.46 → 1 → ✘
- 74.535 → 0 → ✘
- 478.84 → 4 → ✘
- 29.735 → 0 → ✘
- 423.47 → 4 → ✘
- 36.5 → 0 → ✘
- 17.345 → 0 → ✘
- 36.26 → 0 → ✘
- 47.59 → 0 → ✘
- 47.52 → 0 → ✘
- 127.27 → 1 → ✘
- 142.35 → 1 → ✘
- 72.32 → 0 → ✘
- 22.45 → 0 → ✘
- 257.44 → 2 → ✘
- 10.389 → 0 → ✘
- 82.35 → 0 → ✘
- 54.167 → 0 → ✘
- 52.39 → 0 → ✘
- 47.26 → 0 → ✘
- 87.862 → 0 → ✘
- 35.24 → 0 → ✘
- 27.253 → 0 → ✘
- 63.584 → 0 → ✘
- 789.25 → 7 → ✔
- 715.63 → 7 → ✔
- 798.4 → 7 → ✔
- 709.12 → 7 → ✔
- 799.29 → 7 → ✔

✔ Numbers with 7 in the hundreds place:
- 789.25
- 715.63
- 798.4
- 709.12
- 799.29

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✔ Final Answers:

| Condition | Numbers |
|--------|---------|
| 4 in the hundredths place | 74.342, 478.84, 17.345, 257.44, 35.24 |
| 2 in the tens place | 29.735, 423.47, 127.27, 22.45, 27.253 |
| 5 in the tenths place | 74.535, 36.5, 47.59, 47.52, 63.584 |
| 6 in the hundredths place | 135.46, 36.26, 54.167, 47.26, 87.862 |
| 3 in the tenths place | 74.342, 17.345, 142.35, 72.32, 10.389, 82.35, 52.39 |
| 7 in the hundred place | 789.25, 715.63, 798.4, 709.12, 799.29 |

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