To find the expanded form of 23.75, we break it down into its place values:
- The "2" is in the tens place, which represents \(2 \times 10\).
- The "3" is in the ones place, which represents \(3 \times 1\).
- The "7" is in the tenths place, which represents \(7 \times \frac{1}{10}\) or \(7 \times 0.1\).
- The "5" is in the hundredths place, which represents \(5 \times \frac{1}{100}\) or \(5 \times 0.01\).
Putting this together, the expanded form of 23.75 is:
\[ (2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]
This corresponds to the first option given:
(2 × 10) + (3 × 1) + (7 × 1/10) + (5 × 1/100).