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.(1 point)
To find the number of feathers needed, we divide the weight we want by the weight of each feather:
Number of feathers = 4.1×10^3 g / 0.0082 g
Number of feathers = (4.1 / 0.0082) × 10^3
Number of feathers = 500 × 10^3
Number of feathers = 5 × 10^5
Therefore, you would need 5×10^5 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 set up a proportion based on the given information.
Let's denote the unknown number of feathers as "x". We know that a single feather weighs 0.0082 g. So, the ratio of the weight of x feathers to 1 feather is:
x feathers / 1 feather = 4.1×10^3 g / 0.0082 g
To solve for x, we simply need to set up the ratio:
x / 1 = 4.1×10^3 / 0.0082
To divide by a decimal, we can multiply both the numerator and denominator by 100:
x / 1 = (4.1×10^3 / 0.0082) * (100 / 100)
x / 1 = (410 / 0.0082) * (100 / 100)
Simplifying the expression, we get:
x / 1 = 50000
Now, we can solve for x by multiplying both sides by 1:
x = 50000
Therefore, you would need 50000 feathers to make a weight of 4.1×10^3 g.
In scientific notation, this is written as:
5 × 10^4 feathers
To find the number of feathers needed to make a weight of 4.1 x 10³ g, we need to divide the total weight by the weight of one feather.
1 feather weighs 0.0082 g.
Number of feathers needed = (Weight we want)/(Weight of one feather)
Number of feathers needed = 4.1 x 10³ g / 0.0082 g
Number of feathers needed = 5.0 x 10⁵
Therefore, you would need 5.0 x 10⁵ feathers to make a weight of 4.1 x 10³ g.