To express the number 23.757 in expanded form, we break it down based on the place value of each digit:
- The digit '2' is in the tens place: \(2 \times 10\)
- The digit '3' is in the ones place: \(3 \times 1\)
- The digit '7' is in the tenths place: \(7 \times 0.1\)
- The digit '5' is in the hundredths place: \(5 \times 0.01\)
- The digit '7' is in the thousandths place: \(7 \times 0.001\)
So, the expanded form is:
\[ (2 \times 10) + (3 \times 1) + (7 \times 0.1) + (5 \times 0.01) + (7 \times 0.001) \]
Therefore, the correct answer is:
\((2 \times 10) + (3 \times 1) + (7 \times 0.1) + (5 \times 0.01) + (7 \times 0.001)\).