A feather weighs 0.0082 g. How many feathers would you need to make a weight of 4.1 × 10³ g? Write the answer in scientific notation.
To find the number of feathers needed, we need to divide the weight we want to achieve by the weight of a single feather.
Number of feathers = Weight we want to achieve / Weight of a single feather
Number of feathers = (4.1 × 10³ g) / (0.0082 g)
Number of feathers = (4.1 × 10³) / (0.0082)
Number of feathers = 5 × 10^5
To find out how many feathers you would need to make a weight of 4.1 × 10^3 g, you need to divide the weight of a single feather (0.0082 g) into the total weight needed (4.1 × 10^3 g).
First, convert the weight of a single feather to scientific notation if it isn't already. 0.0082 g can be written as 8.2 × 10^-3 g.
Next, divide the total weight needed by the weight of a single feather:
(4.1 × 10^3 g) / (8.2 × 10^-3 g) = (4.1 / 8.2) × (10^3 / 10^-3) = 0.5 × 10^6
Simplifying further, 0.5 × 10^6 can be written in scientific notation as 5 × 10^5.
Therefore, you would need 5 × 10^5 feathers to make a weight of 4.1 × 10^3 g.
To find out how many feathers are needed to make a weight of 4.1 × 10³ g, we can divide the total weight by the weight of each feather.
1. Calculate the number of feathers needed:
Number of feathers = Total weight / Weight of each feather
2. Convert the weight of each feather to grams:
Weight of each feather = 0.0082 g
3. Substitute the values into the formula:
Number of feathers = 4.1 × 10³ g / 0.0082 g
4. Divide the total weight by the weight of each feather:
Number of feathers = 500
Therefore, you would need 500 feathers to make a weight of 4.1 × 10³ g.