Question

a feather weighs .0082 g. How many feathers would you need to make a weight of 4.1×10 to the third power gram write the answer inside Ciszek notation.

Answer 1

To find out how many feathers you need to make a weight of \(4.1 \times 10^3\) grams, you can follow these steps:

1. **Weight of one feather**: \(0.0082 \, \text{g}\)
2. **Total weight required**: \(4.1 \times 10^3 \, \text{g}\)

Now, divide the total weight required by the weight of one feather to find the number of feathers needed:

\[
\text{Number of feathers} = \frac{4.1 \times 10^3 \, \text{g}}{0.0082 \, \text{g}}
\]

Calculating this:

\[
= \frac{4.1 \times 10^3}{0.0082}
\]

Calculating the division:

\[
= 500000 \text{ feathers,} \quad \text{ as } 4.1 \div 0.0082 \approx 500
\]

Now, we can express the number of feathers needed in scientific notation (also known as Ciszek notation):

\[
500000 = 5.0 \times 10^5
\]

So, you would need approximately \(5.0 \times 10^5\) feathers to make a weight of \(4.1 \times 10^3\) grams.