A feather weighs 0.0082 g how many feathers would you need to make a weight of 4.1 * 10 ^ 3 g right the answer in scientific notation
To find out how many feathers are needed to make a weight of 4.1 * 10^3 g, we can divide the total weight by the weight of a single feather:
(4.1 * 10^3 g) / (0.0082 g/feather)
To divide these numbers, we can subtract the exponents (10^3 - 1) and calculate the resulting number as:
4.1 * 10^(3-1) g/0.0082 g/feather
= 4.1 * (10^2) / 0.0082 feathers
= 410 / 0.0082 feathers
= 50,000 feathers
So, you would need 5 * 10^4 feathers to make a weight of 4.1 * 10^3 g.
To find the number of feathers needed to make a weight of 4.1 * 10^3 g, we can divide the target weight by the weight of a single feather.
Number of feathers = Target weight / Weight of a feather
Plugging the values into the equation, we get:
Number of feathers = 4.1 * 10^3 g / 0.0082 g
To divide these two numbers, we subtract the exponents and divide the coefficients:
Number of feathers = 4.1 * 10^(3-(-3)) / 0.0082
Simplifying further, we have:
Number of feathers = 4.1 * 10^6 / 0.0082
Number of feathers = 500,000
To solve this problem, we need to find the number of feathers required to make a weight of 4.1 * 10^3 grams.
First, we need to determine the weight of one feather. Since one feather weighs 0.0082 grams, we can express this value in scientific notation as 8.2 * 10^-3 grams.
To find the number of feathers required, we can divide the total weight (4.1 * 10^3 grams) by the weight of one feather (8.2 * 10^-3 grams):
(4.1 * 10^3 grams) / (8.2 * 10^-3 grams)
To divide numbers in scientific notation, we divide the coefficients (4.1 divided by 8.2) and subtract the exponents (10^3 divided by 10^-3):
= (4.1 / 8.2) * 10^(3 - (-3))
= 0.5 * 10^6
= 5 * 10^5
Therefore, you would need 5 * 10^5 feathers to make a weight of 4.1 * 10^3 grams.