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

Question

Responses

(5×10)+(7×1)+(3×110)+(2×1/100)
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)+(5×1/10²)
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 superscript 1 baseline End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 10 squared End Fraction right parenthesis

(2×10)+(3×1)+(5×110)+(7×1/100)
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)+(5×1/100)

Answer 1

The expanded form of 23.75 can be represented by breaking it down into its place values.

23.75 can be decomposed as:

• 20 (which is \(2 \times 10\))
• 3 (which is \(3 \times 1\))
• 0.7 (which is \(7 \times \frac{1}{10}\))
• 0.05 (which is \(5 \times \frac{1}{100}\))

Putting this all together, the correct expanded form is:

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

This matches the second response:

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

So this is the correct answer.