Grade 4 Math worksheet focusing on equivalent fractions and decimals, with a table to fill in the corresponding values and number line representations.

To solve the problem, we need to complete the table by filling in the missing values for each row. The table involves converting between decimals, fractions, equivalent fractions, and representing them on a number line. Let's go through each row step by step.

Row 1: One tenth

- Words: One tenth
- Decimal: 0.1
- Fraction: \(\frac{1}{10}\)
- Equivalent fraction: \(\frac{2}{20}\)
- Number line: Marked at 0.1

Row 2: Two tenths

- Words: Two tenths
- Decimal: 0.2
- Fraction: \(\frac{2}{10}\)
- Equivalent fraction: \(\frac{4}{20}\)
- Number line: Marked at 0.2

Row 3: Three tenths

- Words: Three tenths
- Decimal: 0.3
- Fraction: \(\frac{3}{10}\)
- Equivalent fraction: \(\frac{6}{20}\)
- Number line: Marked at 0.3

Row 4: Four tenths

- Words: Four tenths
- Decimal: 0.4
- Fraction: \(\frac{4}{10}\)
- Equivalent fraction: \(\frac{8}{20}\)
- Number line: Marked at 0.4

Row 5: Five tenths

- Words: Five tenths
- Decimal: 0.5
- Fraction: \(\frac{5}{10}\)
- Equivalent fraction: \(\frac{10}{20}\)
- Number line: Marked at 0.5

Row 6: Six tenths

- Words: Six tenths
- Decimal: 0.6
- Fraction: \(\frac{6}{10}\)
- Equivalent fraction: \(\frac{12}{20}\)
- Number line: Marked at 0.6

Row 7: Seven tenths

- Words: Seven tenths
- Decimal: 0.7
- Fraction: \(\frac{7}{10}\)
- Equivalent fraction: \(\frac{14}{20}\)
- Number line: Marked at 0.7

Row 8: Eight tenths

- Words: Eight tenths
- Decimal: 0.8
- Fraction: \(\frac{8}{10}\)
- Equivalent fraction: \(\frac{16}{20}\)
- Number line: Marked at 0.8

Row 9: Nine tenths

- Words: Nine tenths
- Decimal: 0.9
- Fraction: \(\frac{9}{10}\)
- Equivalent fraction: \(\frac{18}{20}\)
- Number line: Marked at 0.9

Row 10: Ten tenths

- Words: Ten tenths
- Decimal: 1.0
- Fraction: \(\frac{10}{10}\)
- Equivalent fraction: \(\frac{20}{20}\)
- Number line: Marked at 1.0

Final Table

Here is the completed table:

| Words | Decimal | Fraction | Equivalent fraction | Number line |
|--------------|---------|----------|---------------------|-------------|
| One tenth | 0.1 | \(\frac{1}{10}\) | \(\frac{2}{20}\) | Marked at 0.1 |
| Two tenths | 0.2 | \(\frac{2}{10}\) | \(\frac{4}{20}\) | Marked at 0.2 |
| Three tenths | 0.3 | \(\frac{3}{10}\) | \(\frac{6}{20}\) | Marked at 0.3 |
| Four tenths | 0.4 | \(\frac{4}{10}\) | \(\frac{8}{20}\) | Marked at 0.4 |
| Five tenths | 0.5 | \(\frac{5}{10}\) | \(\frac{10}{20}\) | Marked at 0.5 |
| Six tenths | 0.6 | \(\frac{6}{10}\) | \(\frac{12}{20}\) | Marked at 0.6 |
| Seven tenths | 0.7 | \(\frac{7}{10}\) | \(\frac{14}{20}\) | Marked at 0.7 |
| Eight tenths | 0.8 | \(\frac{8}{10}\) | \(\frac{16}{20}\) | Marked at 0.8 |
| Nine tenths | 0.9 | \(\frac{9}{10}\) | \(\frac{18}{20}\) | Marked at 0.9 |
| Ten tenths | 1.0 | \(\frac{10}{10}\) | \(\frac{20}{20}\) | Marked at 1.0 |

Explanation

1. Decimals and Fractions: Each decimal represents a part of a whole. For example, 0.1 means one part out of ten, which is \(\frac{1}{10}\).
2. Equivalent Fractions: To find an equivalent fraction, multiply both the numerator and the denominator by the same number. For example, \(\frac{1}{10} = \frac{2}{20}\).
3. Number Line: Each decimal is marked on the number line between 0 and 1. For example, 0.1 is marked one-tenth of the way from 0 to 1.

Final Answer

\[
\boxed{
\begin{array}{|c|c|c|c|c|}
\hline
\text{Words} & \text{Decimal} & \text{Fraction} & \text{Equivalent fraction} & \text{Number line} \\
\hline
\text{One tenth} & 0.1 & \frac{1}{10} & \frac{2}{20} & \text{Marked at 0.1} \\
\hline
\text{Two tenths} & 0.2 & \frac{2}{10} & \frac{4}{20} & \text{Marked at 0.2} \\
\hline
\text{Three tenths} & 0.3 & \frac{3}{10} & \frac{6}{20} & \text{Marked at 0.3} \\
\hline
\text{Four tenths} & 0.4 & \frac{4}{10} & \frac{8}{20} & \text{Marked at 0.4} \\
\hline
\text{Five tenths} & 0.5 & \frac{5}{10} & \frac{10}{20} & \text{Marked at 0.5} \\
\hline
\text{Six tenths} & 0.6 & \frac{6}{10} & \frac{12}{20} & \text{Marked at 0.6} \\
\hline
\text{Seven tenths} & 0.7 & \frac{7}{10} & \frac{14}{20} & \text{Marked at 0.7} \\
\hline
\text{Eight tenths} & 0.8 & \frac{8}{10} & \frac{16}{20} & \text{Marked at 0.8} \\
\hline
\text{Nine tenths} & 0.9 & \frac{9}{10} & \frac{18}{20} & \text{Marked at 0.9} \\
\hline
\text{Ten tenths} & 1.0 & \frac{10}{10} & \frac{20}{20} & \text{Marked at 1.0} \\
\hline
\end{array}
}
\]