Question
Write the expanded form of 357.25(1 point)
Responses
(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)+(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)+(5×1100)
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 10 End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 100 End Fraction right parenthesis
(3×100)+(5×10)+(7×1)+(2×1100)
Responses
(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)+(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)+(5×1100)
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 10 End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 100 End Fraction right parenthesis
(3×100)+(5×10)+(7×1)+(2×1100)
Answers
GPT-4o mini
To write 357.25 in expanded form, we need to break it down into its place values. Here's the breakdown:
- **3** is in the hundreds place, so it represents **3 × 100 = 300**
- **5** is in the tens place, so it represents **5 × 10 = 50**
- **7** is in the ones place, so it represents **7 × 1 = 7**
- **2** is in the tenths place, which is **2 × (1/10) = 0.2**
- **5** is in the hundredths place, which is **5 × (1/100) = 0.05**
Putting it all together, the expanded form of 357.25 is:
\[
(3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100})
\]
Based on the options you've provided, the correct response matches with:
**(3×100)+(5×10)+(7×1)+(2×(1/10))+(5×(1/100))**.
- **3** is in the hundreds place, so it represents **3 × 100 = 300**
- **5** is in the tens place, so it represents **5 × 10 = 50**
- **7** is in the ones place, so it represents **7 × 1 = 7**
- **2** is in the tenths place, which is **2 × (1/10) = 0.2**
- **5** is in the hundredths place, which is **5 × (1/100) = 0.05**
Putting it all together, the expanded form of 357.25 is:
\[
(3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100})
\]
Based on the options you've provided, the correct response matches with:
**(3×100)+(5×10)+(7×1)+(2×(1/10))+(5×(1/100))**.