A feather weighs 0.0082 g. How many feathers would you need to make a weight of 4.1x10^3 g? Write the answer in scientific notation.
To find the number of feathers needed, we can divide the total weight desired (4.1x10^3 g) by the weight of one feather (0.0082 g):
(4.1x10^3 g) / (0.0082 g) = 5.0000x10^5
Therefore, you would need 5.0000x10^5 feathers to make a weight of 4.1x10^3 g.
To find out how many feathers you would need to make a weight of 4.1x10^3 g, you can divide the desired weight by the weight of a single feather.
First, let's convert the weight of a single feather to scientific notation:
0.0082 g = 8.2x10^(-3) g (since we move the decimal point three places to the left)
Now, divide the desired weight by the weight of a single feather:
4.1x10^3 g / 8.2x10^(-3) g = (4.1 / 8.2) x (10^3 / 10^(-3)) = 0.5 x 10^(3+3) = 0.5 x 10^6
Therefore, you would need 0.5x10^6 feathers to make a weight of 4.1x10^3 g.
To find out how many feathers you would need to make a weight of 4.1x10^3 g, we can divide the total weight by the weight of one feather.
Total weight = 4.1x10^3 g
Weight of one feather = 0.0082 g
Now, let's divide the total weight by the weight of one feather:
Total weight / Weight of one feather = (4.1x10^3 g) / (0.0082 g)
To divide these values, we can convert the divisor (0.0082 g) into scientific notation:
Total weight / Weight of one feather = (4.1x10^3 g) / (8.2x10^-3 g)
Now, let's perform the division:
Total weight / Weight of one feather = 4.1x10^3 g / (8.2x10^-3 g)
To divide two numbers in scientific notation, subtract the exponent of the divisor from the exponent of the dividend and divide the mantissa:
Total weight / Weight of one feather = 5x10^3
Therefore, you would need 5x10^3 feathers to make a weight of 4.1x10^3 g.