Let's analyze the students' work one by one to identify which one correctly expressed the decimal 572.604 in expanded form.
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Talia's Work:
- Decimal: 572.604
- Expanded form: This is not clearly stated, but the numbers seem to add some confusion.
There's some unclear representation. It looks like Talia's expanded form is not presented correctly or is incomplete.
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Stacy's Work:
- Decimal: 572.604
- Expanded form: 500 + 70 + 2 + 1 + 1,000
- Another line: 5 × 100 + 7 × 10 + 2 × 1 + 6 × 10 + 4 × 1,000
The first part 500 + 70 + 2 + 1 + 1,000 incorrectly includes 1 and 1,000, which should not be part of the expansion. The second part is also incorrect because it includes 6 × 10, which suggests 60, but there is no representation for the decimal part of 0.604.
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Daris' Work:
- Decimal: 572.604
- Expanded form: 5 × 100 + 7 × 10 + 2 × 1 + 6x + 4 × 100
This work contains errors. "6x" appears to be incorrect notation, and 4 × 100 does not correctly represent the decimal part.
The correct way to express the decimal 572.604 in expanded form would be:
\[ 500 + 70 + 2 + 0.6 + 0.004 = 5 \times 100 + 7 \times 10 + 2 \times 1 + 6 \times 0.1 + 4 \times 0.001 \]
Given the analysis:
- All students' works contain inaccuracies. However, based on the content, if we must choose the closest correct representation of expanded form (despite mistakes), Stacy's second line, 5 × 100 + 7 × 10 + 2 × 1 + 6 × 0.1 + 4 × 0.001 (if correcting "× 10" to "× 0.1" and including "× 0.001") would represent the correct approach.
Therefore, Stacy’s second line would be the closest correct form if slightly adjusted.