Question

A feather weighs 0.0082 g how many feathers would you need to make a weight of 4.1*10 to the power of 3 g write your answer in scientific notation

Answer 1

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.

1. **Convert the weight of 4.1 x \( 10^3 \) g to a decimal for easier calculation:**
\( 4.1 \times 10^3 \) g = 4100 g

2. **Calculate how many feathers are needed:**
\[
\text{Number of feathers} = \frac{\text{Total weight}}{\text{Weight per feather}} = \frac{4100 \text{ g}}{0.0082 \text{ g/feather}}
\]

3. **Perform the division:**
\[
\text{Number of feathers} = \frac{4100}{0.0082} \approx 500000
\]

4. **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.