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
(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)+(7×110)+(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)
The expanded form of 23.75 is (2×10)+(3×1)+(7×110)+(5×1100).
What is the expanded form of 23.75?(1 point)
Responses
1. (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. (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
3. (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
4. (2×10)+(3×1)+(7×1101)+(5×1102)
The correct expanded form of 23.75 is:
(2×10)+(3×1)+(7×110)+(5×1100)
1, 2, 3, or 4? which option
The correct option for the expanded form of 23.75 is option 1: (2×10)+(3×1)+(5×110)+(7×1100)
The expanded form of 23.75 is (2×10)+(3×1)+(7×110)+(5×1100).
To determine the expanded form of 23.75, we need to break down each digit's place value.
The number 23.75 has the following digits:
- The digit 2 is in the tens place.
- The digit 3 is in the ones place.
- The digit 7 is in the tenths place.
- The digit 5 is in the hundredths place.
To write the expanded form, we multiply each digit by its corresponding place value.
(2 × 10) + (3 × 1) + (7 × (1/10)) + (5 × (1/100))
Simplifying this expression, we get:
(20) + (3) + (0.7) + (0.05)
Therefore, the expanded form of 23.75 is:
20 + 3 + 0.7 + 0.05.