To solve the problem \(1.35 \times 1.4\), we can express each number in a more manageable form by converting them into fractions or whole numbers.
- \(1.35\) can be expressed as \(135 \times 0.01\) or \(135 \times \frac{1}{100}\).
- \(1.4\) can be expressed as \(14 \times 0.1\) or \(14 \times \frac{1}{10}\).
Now, for the multiplication:
\[ 1.35 \times 1.4 = (135 \times \frac{1}{100}) \times (14 \times \frac{1}{10}) \]
This can be rearranged as:
\[ = 135 \times 14 \times \frac{1}{100} \times \frac{1}{10} \]
This matches with one of the formats you provided.
Among the options listed:
- The correct option would be: \(135 \times \frac{1}{100} \times 14 \times \frac{1}{10}\) This shows that the multiplication of the whole numbers is taking place first \( (135 \times 14) \) and then the decimal adjustments \( \left(\frac{1}{100} \times \frac{1}{10}\right) \).
So the correct method can be summarized as:
\[ (135 \times 14) \times (\frac{1}{100} \times \frac{1}{10}) \]
If the options correspond to this framework, then you would identify that as the correct choice.