A feather weighs 0.0082 g. How many feathers would you need to make a weight of 4.1×10^3 g? Write the answer in scientific notation.(1 point)
To find out how many feathers you would need to reach a weight of 4.1×10^3 g, divide the desired weight by the weight of one feather.
Weight of 1 feather = 0.0082 g
Desired weight = 4.1×10^3 g
Number of feathers needed = Desired weight ÷ Weight of 1 feather
Number of feathers needed = 4.1×10^3 g ÷ 0.0082 g
Number of feathers needed = (4.1 ÷ 0.0082) × 10^3 g
Number of feathers needed = 500 × 10^3 g
To express the answer in scientific notation, we can rewrite it as:
Number of feathers needed = 5×10^2 × 10^3 g
Combining the exponents, we get:
Number of feathers needed = 5×10^(2+3) g
Number of feathers needed = 5×10^5 g
Therefore, you would need 5×10^5 feathers to make a weight of 4.1×10^3 g.
To solve this problem, we need to divide the desired weight (4.1×10^3 g) by the weight of each feather (0.0082 g).
4.1×10^3 g / 0.0082 g = 5×10^5
So, you would need 5×10^5 feathers to make a weight of 4.1×10^3 g.
To determine the number of feathers needed to reach a weight of 4.1×10^3 g, you will need to divide the total weight by the weight of a single feather.
First, let's convert the weight of a feather from grams to kilograms to keep the units consistent. Since 1 gram is equal to 0.001 kilograms, the weight of a feather is 0.0082 g * 0.001 kg/g = 0.0000082 kg.
Next, we can calculate the number of feathers needed by dividing the total weight by the weight of a single feather:
Number of feathers = Total weight ÷ Weight of a feather
Number of feathers = 4.1×10^3 g ÷ 0.0000082 kg
To divide in scientific notation, you divide the numbers and subtract the exponents:
Number of feathers = (4.1 ÷ 0.0000082) × 10^(3-(-5))
Simplifying further:
Number of feathers = 5.0000 × 10^8
Therefore, you would need 5.0000×10^8 feathers to make a weight of 4.1×10^3 g.