Question

Mackenzie solved the problem 1.35×1.4 . Which shows the correct work to find the product? (1 point) Responses (135×110)×(14×110)(135×14)×(110×110) 135 × 1 10 × 14 × 1 10 135 × 14 × 1 10 × 1 10 (135×1100)×(14×110)(135×14)×(1100×110) 135 × 1 100 × 14 × 1 10 135 × 14 × 1 100 × 1 10 (135×110)×(14×1100)(135×14)×(110×1100) 135 × 1 10 × 14 × 1 100 135 × 14 × 1 10 × 1 100 (135×1100)×(14×1100)(135×14)×(1100×1100) 135 × 1 100 × 14 × 1 100 135 × 14 × 1 100 × 1 100

Answer 1

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. \(1.35\) can be expressed as \(135 \times 0.01\) or \(135 \times \frac{1}{100}\).
2. \(1.4\) 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.