`0.23xx0.3 = ?`

Options

A. 0.69
B. 6.9
C. 0.069
D. none of these

Answer

To solve the multiplication of the decimals \(0.23 \times 0.3\), we can follow these steps:

### Step-by-Step Solution:

1. **Write the multiplication problem**:
\[ 0.23 \times 0.3 \]

2. **Convert the decimals to whole numbers**:
To make the multiplication easier, we can eliminate the decimals by converting \(0.23\) and \(0.3\) into whole numbers.
- \(0.23\) can be written as \(\frac{23}{100}\) (since it has 2 decimal places).
- \(0.3\) can be written as \(\frac{3}{10}\) (since it has 1 decimal place).

3. **Multiply the whole numbers**:
Now, we can multiply the numerators:
\[ 23 \times 3 = 69 \]

4. **Multiply the denominators**:
Next, we multiply the denominators:
\[ 100 \times 10 = 1000 \]

5. **Combine the results**:
Now we can combine the results of the multiplication:
\[ \frac{69}{1000} \]

6. **Convert back to decimal form**:
To convert \(\frac{69}{1000}\) back to decimal form, we can write it as:
\[ 0.069 \]

### Final Answer:
Thus, the result of \(0.23 \times 0.3\) is:
\[ \boxed{0.069} \]