What is the expanded form of 23.75?(1 point) Responses (2×10)+(3×1)+(5×110)+(7×1100) left parenthesis 2 times 10 right parenthesis plus left parenthesis 3 times 1 right parenthesis plus left parenthesis 5 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 7 times Start Fraction 1 over 100 End Fraction right parenthesis (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 (5×10)+(7×1)+(3×110)+(2×1100) left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 3 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 2 times Start Fraction 1 over 100 End Fraction right parenthesis (2×10)+(3×1)+(7×1101)+(5×1102)

Answer 1

To express the number 23.75 in expanded form, we can break it down by its place values:

• The numerical "2" is in the tens place, which represents \(2 \times 10\).
• The numerical "3" is in the ones place, which represents \(3 \times 1\).
• The numerical "7" is in the tenths place, which represents \(7 \times \frac{1}{10}\).
• The numerical "5" is in the hundredths place, which represents \(5 \times \frac{1}{100}\).

Putting this all together, the expanded form of 23.75 is:

\[ (2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]

So the correct option is:

\[ (2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]