Question

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

1. (2×10)+(3×1)+(7×1/101)+(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)+(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)+(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

(5×10)+(7×1)+(3×110)+(2×1100)

Answer 1

The expanded form of 23.75 is (2×10)+(3×1)+(7×1/10)+(5×1/100), showing the value of each digit according to its place value.

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

Step-by-step explanation:

The given representation breaks down the number into each of its place values, where '2' is in the tens place, '3' in the ones place, '7' in the tenths place, and '5' in the hundredths place.

To express each of these numerically: 2 is multiplied by 10 because it represents tens, 3 is simply by 1 because it represents ones, 7 is multiplied by ⅟10 (or 0.1) for the tenths, and 5 is multiplied by ⅟100 (or 0.01) for the hundredths.

Therefore, the expanded form of 23.75 is (2×10)+(3×1)+(7×1/10)+(5×1/100).