Worksheet for learning tenths as decimals, including visual aids and examples.

Problem Analysis:

The task involves completing a table that relates fractions, decimals, and their corresponding words. The key concept here is understanding how tenths are represented as fractions and decimals. Here's a breakdown of the problem:

1. Understanding Tenths:
- One tenth as a decimal is \(0.1\).
- Two tenths as a decimal is \(0.2\).
- This pattern continues: three tenths is \(0.3\), four tenths is \(0.4\), and so on.

2. Table Structure:
- Image: A visual representation using boxes (e.g., 7 boxes for seven tenths).
- Words: Describes the fraction in words (e.g., "seven tenths").
- Fraction: The fractional representation (e.g., \(\frac{7}{10}\)).
- Decimal: The decimal representation (e.g., \(0.7\)).

3. Given Information:
- The first row is completed as an example:
- Image: 7 boxes.
- Words: "seven tenths".
- Fraction: \(\frac{7}{10}\).
- Decimal: \(0.7\).

4. Task:
- Fill in the missing entries in the table based on the given pattern.

---

Solution Approach:

We will fill in each row step by step, ensuring consistency with the provided examples and the rules of tenths.

#### Row 2: One Tenth
- Words: "one tenth".
- Fraction: \(\frac{1}{10}\).
- Decimal: \(0.1\).
- Image: 1 box.

| Image | Words | Fraction | Decimal |
|-------|-------------|----------|---------|
| [0.1] | one tenth | \(\frac{1}{10}\) | \(0.1\) |

#### Row 3: Eight Tenths
- Fraction: \(\frac{8}{10}\).
- Decimal: \(0.8\).
- Words: "eight tenths".
- Image: 8 boxes.

| Image | Words | Fraction | Decimal |
|-------|-------------|----------|---------|
| [0.1][0.1][0.1][0.1][0.1][0.1][0.1][0.1] | eight tenths | \(\frac{8}{10}\) | \(0.8\) |

#### Row 4: Three Tenths
- Decimal: \(0.3\).
- Fraction: \(\frac{3}{10}\).
- Words: "three tenths".
- Image: 3 boxes.

| Image | Words | Fraction | Decimal |
|-------|-------------|----------|---------|
| [0.1][0.1][0.1] | three tenths | \(\frac{3}{10}\) | \(0.3\) |

#### Row 5: Two Tenths
- Words: "two tenths".
- Fraction: \(\frac{2}{10}\).
- Decimal: \(0.2\).
- Image: 2 boxes.

| Image | Words | Fraction | Decimal |
|-------|-------------|----------|---------|
| [0.1][0.1] | two tenths | \(\frac{2}{10}\) | \(0.2\) |

#### Row 6: Six Tenths
- Words: "six tenths".
- Fraction: \(\frac{6}{10}\).
- Decimal: \(0.6\).
- Image: 6 boxes.

| Image | Words | Fraction | Decimal |
|-------|-------------|----------|---------|
| [0.1][0.1][0.1][0.1][0.1][0.1] | six tenths | \(\frac{6}{10}\) | \(0.6\) |

#### Row 7: Five Tenths
- Decimal: \(0.5\).
- Fraction: \(\frac{5}{10}\).
- Words: "five tenths".
- Image: 5 boxes.

| Image | Words | Fraction | Decimal |
|-------|-------------|----------|---------|
| [0.1][0.1][0.1][0.1][0.1] | five tenths | \(\frac{5}{10}\) | \(0.5\) |

---

Final Completed Table:

Here is the fully completed table:

| Image | Words | Fraction | Decimal |
|-------|-------------|----------|---------|
| [0.1][0.1][0.1][0.1][0.1][0.1][0.1] | seven tenths | \(\frac{7}{10}\) | \(0.7\) |
| [0.1] | one tenth | \(\frac{1}{10}\) | \(0.1\) |
| [0.1][0.1][0.1][0.1][0.1][0.1][0.1][0.1] | eight tenths | \(\frac{8}{10}\) | \(0.8\) |
| [0.1][0.1][0.1] | three tenths | \(\frac{3}{10}\) | \(0.3\) |
| [0.1][0.1] | two tenths | \(\frac{2}{10}\) | \(0.2\) |
| [0.1][0.1][0.1][0.1][0.1][0.1] | six tenths | \(\frac{6}{10}\) | \(0.6\) |
| [0.1][0.1][0.1][0.1][0.1] | five tenths | \(\frac{5}{10}\) | \(0.5\) |

---

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{Image} & \text{Words} & \text{Fraction} & \text{Decimal} \\
\hline
[0.1][0.1][0.1][0.1][0.1][0.1][0.1] & \text{seven tenths} & \frac{7}{10} & 0.7 \\
\hline
[0.1] & \text{one tenth} & \frac{1}{10} & 0.1 \\
\hline
[0.1][0.1][0.1][0.1][0.1][0.1][0.1][0.1] & \text{eight tenths} & \frac{8}{10} & 0.8 \\
\hline
[0.1][0.1][0.1] & \text{three tenths} & \frac{3}{10} & 0.3 \\
\hline
[0.1][0.1] & \text{two tenths} & \frac{2}{10} & 0.2 \\
\hline
[0.1][0.1][0.1][0.1][0.1][0.1] & \text{six tenths} & \frac{6}{10} & 0.6 \\
\hline
[0.1][0.1][0.1][0.1][0.1] & \text{five tenths} & \frac{5}{10} & 0.5 \\
\hline
\end{array}
}
\]