The expanded form of 23.75 can be expressed in terms of its place values. The number 23.75 can be broken down as follows:
- \(2\) is in the tens place, which represents \(2 \times 10\).
- \(3\) is in the ones place, which represents \(3 \times 1\).
- \(7\) is in the tenths place, which represents \(7 \times \frac{1}{10}\) (or \(7 \times 0.1\)).
- \(5\) is in the hundredths place, which represents \(5 \times \frac{1}{100}\) (or \(5 \times 0.01\)).
So, the correct expanded form is:
\[ (2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]
Thus, the correct response is:
\( (2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \)