Write the value of 0.3

Answer

To solve the question of writing the value of 0.3 in a different form, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Decimal**:
We start with the decimal 0.3. This can also be expressed as a fraction.

2. **Expressing as a Fraction**:
We know that 0.3 can be written as:
\[ 0.3 = \frac{3}{10} \]

3. **Converting to a Repeating Decimal**:
If we were to consider the repeating decimal 0.3333... (which is equal to \( \frac{1}{3} \)), we can set:
\[ x = 0.3333... \]

4. **Multiplying by 10**:
To eliminate the decimal, we multiply both sides of the equation by 10:
\[ 10x = 3.3333... \]

5. **Setting Up the Equation**:
Now we have two equations:
\[ x = 0.3333... \]
\[ 10x = 3.3333... \]

6. **Subtracting the Equations**:
We subtract the first equation from the second:
\[ 10x - x = 3.3333... - 0.3333... \]
This simplifies to:
\[ 9x = 3 \]

7. **Solving for x**:
Now, we divide both sides by 9 to find the value of \( x \):
\[ x = \frac{3}{9} = \frac{1}{3} \]

8. **Conclusion**:
Thus, the value of 0.3 can be expressed as:
\[ 0.3 = \frac{3}{10} \quad \text{and} \quad 0.3333... = \frac{1}{3} \]

### Final Answer:
The value of 0.3 is \( \frac{3}{10} \).