To express 23.75 in expanded form, we break it down by place value.
The number 23.75 can be separated into:
- 2 in the tens place, which is \(2 \times 10\)
- 3 in the ones place, which is \(3 \times 1\)
- 7 in the tenths place, which is \(7 \times \frac{1}{10}\)
- 5 in the hundredths place, which is \(5 \times \frac{1}{100}\)
So, the expanded form of 23.75 would be:
\[ (2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]
Based on your provided responses, this corresponds to the option:
(2×10)+(3×1)+(7×110)+(5×1100)
\( (2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \)