Bot GPT 4-o mini To find out how many feathers are needed to make a weight of \( 4.1 \times 10^3 \) g, we can use the weight of a single feather, which is \( 0.0082 \) g.
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Convert the weight of 4.1 x \( 10^3 \) g to a decimal for easier calculation:
\( 4.1 \times 10^3 \) g = 4100 g -
Calculate how many feathers are needed: \[ \text{Number of feathers} = \frac{\text{Total weight}}{\text{Weight per feather}} = \frac{4100 \text{ g}}{0.0082 \text{ g/feather}} \]
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Perform the division: \[ \text{Number of feathers} = \frac{4100}{0.0082} \approx 500000 \]
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Convert this to scientific notation: \[ 500000 = 5.0 \times 10^5 \]
Thus, you would need approximately \( 5.0 \times 10^5 \) feathers to make a weight of \( 4.1 \times 10^3 \) g.
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