Decimals practice worksheet for students to enhance understanding of decimal place value and ordering.

Problem Analysis:

The image contains a worksheet on decimals, covering various tasks related to place value, decimal representation, and ordering decimals. Below is a detailed solution for each task.

---

Task 1: Write each number on the place value chart

#### Instructions:
Write each number in the provided place value chart (Ones, Tenths, Hundredths).

#### Numbers:
a. Three-tenths
b. One and fourteen hundredths
c. Two and six tenths
d. One and nine hundredths

#### Solution:
- a. Three-tenths
- Place value:
- Ones: 0
- Tenths: 3
- Hundredths: 0
- Answer:
```
Ones: 0, Tenths: 3, Hundredths: 0
```

- b. One and fourteen hundredths
- Place value:
- Ones: 1
- Tenths: 1
- Hundredths: 4
- Answer:
```
Ones: 1, Tenths: 1, Hundredths: 4
```

- c. Two and six tenths
- Place value:
- Ones: 2
- Tenths: 6
- Hundredths: 0
- Answer:
```
Ones: 2, Tenths: 6, Hundredths: 0
```

- d. One and nine hundredths
- Place value:
- Ones: 1
- Tenths: 0
- Hundredths: 9
- Answer:
```
Ones: 1, Tenths: 0, Hundredths: 9
```

---

Task 2: Write the value of each underlined digit

#### Instructions:
Identify the value of the underlined digit in each number.

#### Numbers:
a. 124.58
b. 132.89
c. 102.46
d. 516.33
e. 46.01
f. 164.23

#### Solution:
- a. 124.58 (Underlined digit: 5)
- Value: 5 tenths = 0.5
- Answer: 0.5

- b. 132.89 (Underlined digit: 8)
- Value: 8 tenths = 0.8
- Answer: 0.8

- c. 102.46 (Underlined digit: 4)
- Value: 4 tenths = 0.4
- Answer: 0.4

- d. 516.33 (Underlined digit: 3)
- Value: 3 tenths = 0.3
- Answer: 0.3

- e. 46.01 (Underlined digit: 0)
- Value: 0 tenths = 0.0
- Answer: 0.0

- f. 164.23 (Underlined digit: 2)
- Value: 2 tenths = 0.2
- Answer: 0.2

---

Task 3: Write the decimal represented by the following

#### Instructions:
Convert the given descriptions into decimal numbers.

#### Descriptions:
a. 4 hundreds, 6 tens, 1 one, 2 tenths, 7 hundredths
b. 3 hundreds, 5 ones, 6 ones, 5 tenths
c. 2 hundreds, 1 ten, 6 ones, 8 tenths, 3 hundredths
d. 2 hundreds, 7 ones, 3 tenths, 2 hundredths

#### Solution:
- a. 4 hundreds, 6 tens, 1 one, 2 tenths, 7 hundredths
- Decimal: 400 + 60 + 1 + 0.2 + 0.07 = 461.27
- Answer: 461.27

- b. 3 hundreds, 5 ones, 6 ones, 5 tenths
- Note: "5 ones" and "6 ones" are repeated; assume it means 11 ones.
- Decimal: 300 + 11 + 0.5 = 311.5
- Answer: 311.5

- c. 2 hundreds, 1 ten, 6 ones, 8 tenths, 3 hundredths
- Decimal: 200 + 10 + 6 + 0.8 + 0.03 = 216.83
- Answer: 216.83

- d. 2 hundreds, 7 ones, 3 tenths, 2 hundredths
- Decimal: 200 + 7 + 0.3 + 0.02 = 207.32
- Answer: 207.32

---

Task 4: Write the number in the tenths place in each of the following numbers

#### Instructions:
Identify the digit in the tenths place for each number.

#### Numbers:
a. 246.18
b. 347.85
c. 110.72

#### Solution:
- a. 246.18
- Tenths place: 1
- Answer: 1

- b. 347.85
- Tenths place: 8
- Answer: 8

- c. 110.72
- Tenths place: 7
- Answer: 7

---

Task 5: The distances in miles tell how far each student walks to school

#### Instructions:
Determine who walks the farthest and who walks the shortest distance.

#### Distances:
- Yoko: 1.60 miles
- Hamu: 1.52 miles
- Tess: 1.55 miles
- Grace: 1.55 miles

#### Solution:
- Farthest distance: Yoko (1.60 miles)
- Shortest distance: Hamu (1.52 miles)

- Answer:
- Farthest: Yoko
- Shortest: Hamu

---

Task 6: Order the decimals from least to greatest

#### Instructions:
Arrange the given decimals in ascending order.

#### Decimals:
151.23, 115.23, 151.32, 115.23

#### Solution:
- Compare the numbers step by step:
- 115.23 < 115.23 < 151.23 < 151.32

- Answer:
- Least to greatest: 115.23, 115.23, 151.23, 151.32

---

Final Answers:

1.
- a. Ones: 0, Tenths: 3, Hundredths: 0
- b. Ones: 1, Tenths: 1, Hundredths: 4
- c. Ones: 2, Tenths: 6, Hundredths: 0
- d. Ones: 1, Tenths: 0, Hundredths: 9

2.
- a. 0.5
- b. 0.8
- c. 0.4
- d. 0.3
- e. 0.0
- f. 0.2

3.
- a. 461.27
- b. 311.5
- c. 216.83
- d. 207.32

4.
- a. 1
- b. 8
- c. 7

5.
- Farthest: Yoko
- Shortest: Hamu

6.
- 115.23, 115.23, 151.23, 151.32

Boxed Final Answer:
\[
\boxed{115.23, 115.23, 151.23, 151.32}
\]