a feather weighs 0.0082 g. how many feathers would you need to make a weight of 4.1 x 10^3 g? write the answer in scientific notation.
To find the number of feathers needed to make a weight of 4.1 x 10^3 g, we divide the total weight by the weight of one feather.
Number of feathers needed = (Total weight) / (Weight of one feather)
Number of feathers needed = (4.1 x 10^3 g) / (0.0082 g)
Number of feathers needed = 5 x 10^5
Therefore, you would need 5 x 10^5 feathers to make a weight of 4.1 x 10^3 g.
To find out how many feathers would be needed to make a weight of 4.1 x 10^3 g, we can divide the total weight by the weight of each feather. Here's how to calculate it:
1. First, determine the weight of each feather in scientific notation. The given weight of a feather is 0.0082 g, which can be expressed as 8.2 x 10^-3 g.
2. To find the number of feathers required, divide the total weight by the weight of each feather:
Number of feathers = Total weight ÷ Weight of each feather
Let's calculate it using the given values:
Number of feathers = (4.1 x 10^3 g) ÷ (8.2 x 10^-3 g)
Now, let's multiply the numerator and denominator by 10^3 in order to eliminate the exponent:
Number of feathers = (4.1 x 10^3 g) ÷ (8.2 x 10^-3 g) x (10^3 g / 10^3 g)
= (4.1 x 10^3 g) / (8.2 x 10^-3 g) x (10^3 / 10^3)
Simplifying:
Number of feathers = (4.1 / 8.2) x (10^3 / 10^-3)
= 0.5 x 10^6
Therefore, the answer in scientific notation is 5 x 10^5 feathers.
To determine the number of feathers needed to make a weight of 4.1 x 10^3 g, you can divide the total weight by the weight of a single feather.
Total weight: 4.1 x 10^3 g
Weight of a single feather: 0.0082 g
Number of feathers needed = Total weight / Weight of a single feather
Number of feathers needed = (4.1 x 10^3 g) / (0.0082 g)
Number of feathers needed = 5.0 x 10^5
Therefore, you would need 5.0 x 10^5 feathers to make a weight of 4.1 x 10^3 g.