Let's break down each of your requests for expanded forms:
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Expanded form of 23.75
The correct expanded form for 23.75 is: \[ (2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \] This corresponds to the response: \[ (2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]
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Expanded form of 357.25
The correct expanded form for 357.25 is: \[ (3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \] This corresponds to the response: \[ (3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]
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Expanded form of 8,471.716
The correct expanded form for 8,471.716 is: \[ (8 \times 1000) + (4 \times 100) + (7 \times 10) + (1 \times 1) + (7 \times \frac{1}{10}) + (1 \times \frac{1}{100}) + (6 \times \frac{1}{1000}) \] This corresponds to the response: \[ (8 \times 1000) + (4 \times 100) + (7 \times 10) + (1 \times 1) + (7 \times \frac{1}{10}) + (1 \times \frac{1}{100}) + (6 \times \frac{1}{1000}) \]
In summary, the correct responses for the expanded forms are:
- For 23.75: The second option is correct.
- For 357.25: The second option is correct.
- For 8,471.716: The first option is correct.