Question
What is the expanded form of 23.75?(1 point) 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)
Answers
GPT-4o mini
To find the expanded form of the number 23.75, we break it down into its place values.
The number 23.75 can be expressed as follows:
- The "2" is in the tens place, so it represents \(2 \times 10\).
- The "3" is in the ones place, so it represents \(3 \times 1\).
- The "7" is in the tenths place, so it represents \(7 \times \frac{1}{10}\). (This is the same as \(7 \times 0.1\))
- The "5" is in the hundredths place, so it represents \(5 \times \frac{1}{100}\). (This is the same as \(5 \times 0.01\))
Putting it all together, the expanded form of 23.75 is:
\[
(2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100})
\]
Thus, the correct response is:
\[
(2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100})
\]
The number 23.75 can be expressed as follows:
- The "2" is in the tens place, so it represents \(2 \times 10\).
- The "3" is in the ones place, so it represents \(3 \times 1\).
- The "7" is in the tenths place, so it represents \(7 \times \frac{1}{10}\). (This is the same as \(7 \times 0.1\))
- The "5" is in the hundredths place, so it represents \(5 \times \frac{1}{100}\). (This is the same as \(5 \times 0.01\))
Putting it all together, the expanded form of 23.75 is:
\[
(2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100})
\]
Thus, the correct response is:
\[
(2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100})
\]