The expanded form of a decimal number involves breaking it down into the sum of its parts based on place value.
For the number 23.75:
- The "2" is in the tens place, so it represents \(2 \times 10\).
- The "3" is in the units (ones) place, so it represents \(3 \times 1\).
- The "7" is in the tenths place, so it represents \(7 \times \frac{1}{10}\).
- The "5" is in the hundredths place, so it represents \(5 \times \frac{1}{100}\).
So the correct expanded form of 23.75 is:
\[ (2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]
Thus the correct response is:
(2×10)+(3×1)+(7×110)+(5×1100).
(Note: Check that "1 over 10" and "1 over 100" are formatted correctly in your system as "1/10" and "1/100".)