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.

4 answers

To find the number of feathers needed to make a weight of 4.1 × 10^3 g, we divide the total weight by the weight of a single feather:

Number of feathers = total weight / weight of a single feather

Number of feathers = (4.1 × 10^3 g) / (0.0082 g)

Number of feathers = 5 × (10^2) / 0.0082

Number of feathers = 5 × 10^2 / 0.0082

Number of feathers = 500 / 0.0082

Number of feathers = 60975.61

Written in scientific notation, the answer is:

Number of feathers = 6.097561 × 10^4
Wrong
Apologies for the mistake.

To find the number of feathers needed to make a weight of 4.1 × 10^3 g, we divide the total weight by the weight of a single feather:

Number of feathers = total weight / weight of a single feather

Number of feathers = (4.1 × 10^3 g) / (0.0082 g)

Number of feathers = 5 × (10^2) / (8.2 × 10^-3)

Number of feathers = 5 × 10^2 / 8.2 × 10^-3

Number of feathers = (5 × 10^2) × (1/(8.2 × 10^-3))

Number of feathers = 5 × (10^2) × (1/8.2) × (10^3)

Number of feathers = (5/8.2) × (10^2 + 3)

Number of feathers = (0.6098) × (10^5)

Number of feathers = 6.098 × 10^4

So, you would need approximately 6.098 × 10^4 feathers to make a weight of 4.1 × 10^3 g.
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