Fraction, Decimal, and Percentage worksheet for Grade 5 students.

Problem Analysis:

The task requires completing a table that shows the representation of numbers in Word form, Decimal form, Fraction form, and Percentage form. Additionally, each number should be represented on a number line.

Solution Approach:

1. Understand the given examples: The first row is completed as an example.
- One tenth:
- Word: One tenth
- Decimal: 0.1
- Fraction: \( \frac{1}{10} \)
- Percentage: 1%
- Number line: Marked at 0.1 between 0 and 1.

2. Complete the remaining rows by following the same pattern:
- Convert the word form to decimal, fraction, and percentage.
- Ensure the number line is marked correctly for each value.

Step-by-Step Solution:

#### Row 1 (Given):
- One tenth
- Decimal: 0.1
- Fraction: \( \frac{1}{10} \)
- Percentage: 1%
- Number line: Marked at 0.1

#### Row 2:
- Two tenths
- Decimal: 0.2
- Fraction: \( \frac{2}{10} \) or simplified to \( \frac{1}{5} \)
- Percentage: 20%
- Number line: Marked at 0.2

#### Row 3:
- Three tenths
- Decimal: 0.3
- Fraction: \( \frac{3}{10} \)
- Percentage: 30%
- Number line: Marked at 0.3

#### Row 4:
- Four tenths
- Decimal: 0.4
- Fraction: \( \frac{4}{10} \) or simplified to \( \frac{2}{5} \)
- Percentage: 40%
- Number line: Marked at 0.4

#### Row 5:
- Five tenths
- Decimal: 0.5
- Fraction: \( \frac{5}{10} \) or simplified to \( \frac{1}{2} \)
- Percentage: 50%
- Number line: Marked at 0.5

#### Row 6:
- Six tenths
- Decimal: 0.6
- Fraction: \( \frac{6}{10} \) or simplified to \( \frac{3}{5} \)
- Percentage: 60%
- Number line: Marked at 0.6

#### Row 7:
- Seven tenths
- Decimal: 0.7
- Fraction: \( \frac{7}{10} \)
- Percentage: 70%
- Number line: Marked at 0.7

#### Row 8:
- Eight tenths
- Decimal: 0.8
- Fraction: \( \frac{8}{10} \) or simplified to \( \frac{4}{5} \)
- Percentage: 80%
- Number line: Marked at 0.8

#### Row 9:
- Nine tenths
- Decimal: 0.9
- Fraction: \( \frac{9}{10} \)
- Percentage: 90%
- Number line: Marked at 0.9

#### Row 10:
- Ten tenths
- Decimal: 1.0
- Fraction: \( \frac{10}{10} \) or simplified to 1
- Percentage: 100%
- Number line: Marked at 1.0

Final Completed Table:

| Words | Decimal | Fraction | Percentage | Number Line |
|---------------|---------|----------|------------|-------------|
| One tenth | 0.1 | \( \frac{1}{10} \) | 1% |  |
| Two tenths | 0.2 | \( \frac{2}{10} \) | 20% |  |
| Three tenths | 0.3 | \( \frac{3}{10} \) | 30% |  |
| Four tenths | 0.4 | \( \frac{4}{10} \) | 40% |  |
| Five tenths | 0.5 | \( \frac{5}{10} \) | 50% |  |
| Six tenths | 0.6 | \( \frac{6}{10} \) | 60% |  |
| Seven tenths | 0.7 | \( \frac{7}{10} \) | 70% |  |
| Eight tenths | 0.8 | \( \frac{8}{10} \) | 80% |  |
| Nine tenths | 0.9 | \( \frac{9}{10} \) | 90% |  |
| Ten tenths | 1.0 | \( \frac{10}{10} \) | 100% |  |

Explanation of Each Conversion:

1. Decimal to Fraction: Divide the decimal by 1 and simplify if possible.
- Example: \( 0.2 = \frac{2}{10} = \frac{1}{5} \)

2. Decimal to Percentage: Multiply the decimal by 100.
- Example: \( 0.2 \times 100 = 20\% \)

3. Fraction to Decimal: Divide the numerator by the denominator.
- Example: \( \frac{3}{10} = 0.3 \)

4. Fraction to Percentage: Convert the fraction to a decimal and then multiply by 100.
- Example: \( \frac{3}{10} = 0.3 \times 100 = 30\% \)

5. Number Line: Mark the decimal value between 0 and 1, dividing the line into 10 equal parts for tenths.

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|c|c|}
\hline
\text{Words} & \text{Decimal} & \text{Fraction} & \text{Percentage} & \text{Number Line} \\
\hline
\text{One tenth} & 0.1 & \frac{1}{10} & 1\% & \text{(Marked at 0.1)} \\
\hline
\text{Two tenths} & 0.2 & \frac{2}{10} & 20\% & \text{(Marked at 0.2)} \\
\hline
\text{Three tenths} & 0.3 & \frac{3}{10} & 30\% & \text{(Marked at 0.3)} \\
\hline
\text{Four tenths} & 0.4 & \frac{4}{10} & 40\% & \text{(Marked at 0.4)} \\
\hline
\text{Five tenths} & 0.5 & \frac{5}{10} & 50\% & \text{(Marked at 0.5)} \\
\hline
\text{Six tenths} & 0.6 & \frac{6}{10} & 60\% & \text{(Marked at 0.6)} \\
\hline
\text{Seven tenths} & 0.7 & \frac{7}{10} & 70\% & \text{(Marked at 0.7)} \\
\hline
\text{Eight tenths} & 0.8 & \frac{8}{10} & 80\% & \text{(Marked at 0.8)} \\
\hline
\text{Nine tenths} & 0.9 & \frac{9}{10} & 90\% & \text{(Marked at 0.9)} \\
\hline
\text{Ten tenths} & 1.0 & \frac{10}{10} & 100\% & \text{(Marked at 1.0)} \\
\hline
\end{array}
}
\]