Question
Write the expanded form of 357.25
(3×100)+(5×10)+(7×1)+(2×1100)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 2 times Start Fraction 1 over 100 End Fraction right parenthesis
(3×100)+(5×10)+(7×1)+(5×110)+(2×1100)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 5 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 2 times Start Fraction 1 over 100 End Fraction right parenthesis
(3×100)+(5×10)+(7×1)+(2×110)+(5×11,000)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 2 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 1,000 End Fraction right parenthesis
(3×100)+(5×10)+(7×1)+(2×110)+(5×1100)
(3×100)+(5×10)+(7×1)+(2×1100)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 2 times Start Fraction 1 over 100 End Fraction right parenthesis
(3×100)+(5×10)+(7×1)+(5×110)+(2×1100)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 5 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 2 times Start Fraction 1 over 100 End Fraction right parenthesis
(3×100)+(5×10)+(7×1)+(2×110)+(5×11,000)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 2 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 1,000 End Fraction right parenthesis
(3×100)+(5×10)+(7×1)+(2×110)+(5×1100)
Answers
GPT-4o mini
To write the expanded form of the number 357.25, we will break it down based on the value of each digit in its respective place.
The number can be expressed in terms of its digits as follows:
- The digit '3' is in the hundreds place: \(3 \times 100\)
- The digit '5' is in the tens place: \(5 \times 10\)
- The digit '7' is in the ones place: \(7 \times 1\)
- The digit '2' is in the tenths place: \(2 \times \frac{1}{10}\)
- The digit '5' is in the hundredths place: \(5 \times \frac{1}{100}\)
Putting it all together, the expanded form of 357.25 is:
\[
(3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100})
\]
This follows the correct breakdown for the number 357.25. Each term represents the contribution of each digit to the total value of the number.
The number can be expressed in terms of its digits as follows:
- The digit '3' is in the hundreds place: \(3 \times 100\)
- The digit '5' is in the tens place: \(5 \times 10\)
- The digit '7' is in the ones place: \(7 \times 1\)
- The digit '2' is in the tenths place: \(2 \times \frac{1}{10}\)
- The digit '5' is in the hundredths place: \(5 \times \frac{1}{100}\)
Putting it all together, the expanded form of 357.25 is:
\[
(3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100})
\]
This follows the correct breakdown for the number 357.25. Each term represents the contribution of each digit to the total value of the number.