Question

What is the expanded form of 23.75?(1 point)
Responses

(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)+(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)+(7×1101)+(5×1/10 *2)

Answer 1

The expanded form of 23.75 can be expressed in terms of its place values. The number 23.75 can be broken down as follows:

- \(2\) is in the tens place, which represents \(2 \times 10\).
- \(3\) is in the ones place, which represents \(3 \times 1\).
- \(7\) is in the tenths place, which represents \(7 \times \frac{1}{10}\) (or \(7 \times 0.1\)).
- \(5\) is in the hundredths place, which represents \(5 \times \frac{1}{100}\) (or \(5 \times 0.01\)).

So, the correct expanded form is:

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

Thus, the correct response is:

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