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

Problem Description:

The task is to identify numbers from a given list that satisfy specific decimal place value conditions. The conditions are:

1. 4 in the hundreds 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 hundreds place

We need to analyze each number in the provided list and determine which ones meet each of these criteria.

---

Step-by-Step Solution:

#### 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
```

#### Condition 1: 4 in the hundreds place
- Numbers with "4" in the hundreds place:
- 423.47 (Hundreds place = 4)
- 47.52 (Hundreds place = 0, so not valid)
- 47.26 (Hundreds place = 0, so not valid)

Valid Number: 423.47

#### Condition 2: 2 in the tens place
- Numbers with "2" in the tens place:
- 29.735 (Tens place = 2)
- 22.45 (Tens place = 2)
- 257.44 (Tens place = 5, so not valid)
- 27.253 (Tens place = 2)

Valid Numbers: 29.735, 22.45, 27.253

#### Condition 3: 5 in the tenths place
- Numbers with "5" in the tenths place:
- 74.535 (Tenths place = 5)
- 17.345 (Tenths place = 3, so not valid)
- 82.35 (Tenths place = 3, so not valid)
- 54.167 (Tenths place = 4, so not valid)
- 798.4 (Tenths place = 4, so not valid)

Valid Number: 74.535

#### Condition 4: 6 in the hundredths place
- Numbers with "6" in the hundredths place:
- 135.46 (Hundredths place = 6)
- 36.26 (Hundredths place = 6)
- 87.862 (Hundredths place = 6)
- 63.584 (Hundredths place = 8, so not valid)

Valid Numbers: 135.46, 36.26, 87.862

#### Condition 5: 3 in the tenths place
- Numbers with "3" in the tenths place:
- 29.735 (Tenths place = 7, so not valid)
- 47.52 (Tenths place = 5, so not valid)
- 142.35 (Tenths place = 3)
- 35.24 (Tenths place = 2, so not valid)
- 709.12 (Tenths place = 1, so not valid)

Valid Number: 142.35

#### Condition 6: 7 in the hundreds place
- Numbers with "7" in the hundreds place:
- 74.342 (Hundreds place = 0, so not valid)
- 789.25 (Hundreds place = 7)
- 715.63 (Hundreds place = 7)
- 798.4 (Hundreds place = 7)
- 709.12 (Hundreds place = 7)
- 799.29 (Hundreds place = 7)

Valid Numbers: 789.25, 715.63, 798.4, 709.12, 799.29

---

Final Answer:

```
1. 4 in the hundreds place: 423.47
2. 2 in the tens place: 29.735, 22.45, 27.253
3. 5 in the tenths place: 74.535
4. 6 in the hundredths place: 135.46, 36.26, 87.862
5. 3 in the tenths place: 142.35
6. 7 in the hundreds place: 789.25, 715.63, 798.4, 709.12, 799.29
```

Boxed Answer:
\[
\boxed{
\begin{array}{l}
1. 423.47 \\
2. 29.735, 22.45, 27.253 \\
3. 74.535 \\
4. 135.46, 36.26, 87.862 \\
5. 142.35 \\
6. 789.25, 715.63, 798.4, 709.12, 799.29 \\
\end{array}
}
\]