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

Question

Responses

(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)+(7×110)+(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

(2×10)+(3×1)+(7×1101)+(5×1102)

Answer 1

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

23.75 can be separated as follows:

• The number 2 is in the tens place: \(2 \times 10\)
• The number 3 is in the ones place: \(3 \times 1\)
• The number 7 is in the tenths place: \(7 \times \frac{1}{10}\)
• The number 5 is in the hundredths place: \(5 \times \frac{1}{100}\)

Putting this together, the correct expanded form is: \[ (2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]

Therefore, the correct response is: (2×10)+(3×1)+(7×(1/10))+(5×(1/100))