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 how many feathers you would need to make a weight of 4.1×10³ g, you need to divide the total weight by the weight of one feather.
The weight of one feather is 0.0082 g.
Dividing the total weight (4.1×10³ g) by the weight of one feather (0.0082 g) gives:
4.1×10³ g / 0.0082 g
To perform this division in scientific notation, you divide the numbers and subtract the exponents:
= 5.000×10⁵
Therefore, you would need 5.000×10⁵ feathers to make a weight of 4.1×10³ g.
To find the number of feathers needed to make a weight of 4.1×103 g, divide the total weight by the weight of one feather.
Number of feathers = Total weight / Weight of one feather
Number of feathers = 4.1×10^3 g / 0.0082 g
To divide by a decimal, move the decimal point to the right until it becomes a whole number:
Number of feathers = (4.1×10^3 g) / (0.0082 g)
Number of feathers = (4.1×10^3 g) / (8.2×10^-3 g)
Divide the coefficients and subtract the exponents:
Number of feathers = (4.1 / 8.2) × 10^(3 - (-3))
Number of feathers = 0.5 × 10^6
Write the answer in scientific notation:
Number of feathers = 5×10^5
To find the number of feathers needed to make a weight of 4.1×103 g, we divide the desired weight by the weight of one feather.
Weight of one feather = 0.0082 g
Desired weight = 4.1×103 g
Number of feathers needed = Desired weight / Weight of one feather
Number of feathers needed = 4.1×103 g / 0.0082 g
Number of feathers needed = (4.1×103 / 0.0082) feathers
Number of feathers needed = 5×105 feathers
Written in scientific notation, this answer is 5×105 feathers.