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 to make a weight of 4.1x10^3 g, we can set up a proportion using the weight of a feather.
Let's call the number of feathers needed "x".
0.0082 g (weight of 1 feather) / 1 feather = 4.1x10^3 g (total weight) / x feathers
Cross-multiplying, we get:
0.0082 g * x = 4.1x10^3 g
Now, let's solve for x:
x = (4.1x10^3 g) / 0.0082 g
Dividing, we get:
x = 5x10^5
So, you would need 5x10^5 feathers to make a weight of 4.1x10^3 g.
To find the number of feathers needed to make a weight of 4.1×10^3 g, we divide the weight of one feather by the desired weight:
(4.1×10^3 g) / (0.0082 g) = 500
Therefore, you would need 500 feathers to make a weight of 4.1×10^3 g.
500 in scientific notation
To find the number of feathers needed to make a weight of 4.1 x 10^3 g, we can divide the total weight by the weight of a single feather.
To do this, we can use the following formula:
Number of feathers = Total weight / Weight of a single feather
In this case, the weight of a single feather is given as 0.0082 g, and the total weight we want to achieve is 4.1 x 10^3 g.
Now let's plug in the values and calculate:
Number of feathers = 4.1 x 10^3 g / 0.0082 g
To divide these values, we can subtract the exponents in the denominator from the exponent of the numerator:
Number of feathers = 4.1 x 10^(3-(-2)) g
Simplifying this gives us:
Number of feathers = 4.1 x 10^5 g
Therefore, you would need 4.1 x 10^5 feathers to make a weight of 4.1 x 10^3 g.