Sure! Here are the correct expanded forms for each of the numbers given in your questions:
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Expanded form of 285:
- The correct response is: (2×100) + (8×10) + (5×1)
This represents the value of 285 as \( 200 + 80 + 5 \).
- The correct response is: (2×100) + (8×10) + (5×1)
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Expanded form of 1,976:
- The correct response is: (9×1,000) + (1×100) + (7×10) + (6×1)
This represents the value of 1,976 as \( 9000 + 100 + 70 + 6 \).
- The correct response is: (9×1,000) + (1×100) + (7×10) + (6×1)
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Expanded form of 23.75:
- The correct response is: (2×10) + (3×1) + (7×0.1) + (5×0.01)
Here, 23.75 is expressed as \( 20 + 3 + 0.7 + 0.05 \).
- The correct response is: (2×10) + (3×1) + (7×0.1) + (5×0.01)
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Expanded form of 357.25:
- The correct response is: (3×100) + (5×10) + (7×1) + (2×0.1) + (5×0.01)
This represents the value of 357.25 as \( 300 + 50 + 7 + 0.2 + 0.05 \).
- The correct response is: (3×100) + (5×10) + (7×1) + (2×0.1) + (5×0.01)
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Expanded form of 8,471.716:
- The correct response is: (8×1,000) + (4×100) + (7×10) + (1×1) + (7×0.1) + (1×0.01) + (6×0.001)
This represents the value of 8,471.716 as \( 8000 + 400 + 70 + 1 + 0.7 + 0.01 + 0.006 \).
- The correct response is: (8×1,000) + (4×100) + (7×10) + (1×1) + (7×0.1) + (1×0.01) + (6×0.001)
If you need further clarification or any more help, feel free to ask!