To find out how many feathers you need to reach a weight of \( 4.1 \times 10^3 \) grams, you can divide the total weight by the weight of one feather.
- Total weight needed: \( 4.1 \times 10^3 \text{ g} = 4100 \text{ g} \)
- Weight of one feather: \( 0.0082 \text{ g} \)
Now, divide the total weight by the weight of one feather:
\[ \text{Number of feathers} = \frac{4100 \text{ g}}{0.0082 \text{ g/feather}} \]
Calculating this gives:
\[ \text{Number of feathers} = \frac{4100}{0.0082} \approx 500000 \]
Therefore, you would need approximately 500,000 feathers to make a weight of \( 4.1 \times 10^3 \) grams.