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) its not 4.1 × 10^3 g.
To find the number of feathers needed to make a weight of 4.1×10^3 g, we need to divide the desired weight by the weight of one feather.
Number of feathers = weight desired / weight of one feather
Number of feathers = (4.1×10^3 g) / (0.0082 g)
Number of feathers = 5.0×10^5
Therefore, you would need 5.0×10^5 feathers to make a weight of 4.1×10^3 g.
To find the number of feathers needed to make a weight of 4.1×10^3 g, you first need to determine how many feathers are needed to make 1 gram.
Given that a feather weighs 0.0082 g, you can find the number of feathers needed to make 1 gram by finding the reciprocal of the weight of a single feather:
1 g ÷ 0.0082 g = 121.9512 feathers (rounded to 4 decimal places).
So, it would take approximately 121.9512 feathers to make 1 gram.
Now, to find the number of feathers needed to make 4.1×10^3 g, you can multiply 121.9512 feathers/g by 4.1×10^3 g:
121.9512 feathers/g × 4.1×10^3 g = 5.015×10^5 feathers.
Therefore, approximately 5.015×10^5 feathers would be needed to make a weight of 4.1×10^3 g.
To find the number of feathers required to make a specific weight, we need to divide the total weight by the weight of a single feather.
Given:
- Weight of a single feather: 0.0082 g
- Total weight: 4.1 × 10^3 g
To calculate the number of feathers needed, use the following formula:
Number of feathers = Total weight / Weight of a single feather
Substituting the given values into the formula:
Number of feathers = (4.1 × 10^3 g) / (0.0082 g)
To perform the division, we can cancel out the grams unit, resulting in:
Number of feathers = 4.1 × 10^3 / 0.0082
Simply divide the numerical values:
Number of feathers = 500
Therefore, you would need 500 feathers to make a weight of 4.1 × 10^3 g.