The number 23.75 can be expressed in expanded form by breaking it down into its place values.
In 23.75:
- 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: \(7 \times \frac{1}{10}\)
- The digit '5' is in the hundredths place: \(5 \times \frac{1}{100}\)
Thus, the correct expanded form of 23.75 is:
\[ (2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]
This matches the second option:
\[ (2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]
So, the correct choice is:
(2×10)+(3×1)+(7×110)+(5×1100) left parenthesis 2 times 10 right parenthesis plus left parenthesis 3 times 1 right parenthesis plus left parenthesis 7 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 100 End Fraction right parenthesis