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)
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We can find the number of feathers needed by dividing the desired weight by the weight of one feather:
$$\text{Number of feathers} = \frac{\text{Desired weight}}{\text{Weight of one feather}} = \frac{4.1\times 10^3\, g}{0.0082\, g}$$
Dividing the exponents, we get:
$$\text{Number of feathers} = \left(\frac{4.1}{0.0082}\right) \times 10^{3-(-2)} = 500 \times 10^5$$
Therefore, you would need $5\times 10^8$ feathers to make a weight of $4.1\times 10^3$ g.
To find the number of feathers needed to make a weight of 4.1×10^3 g, divide the total weight by the weight of each feather:
Number of feathers = Total weight / Weight of each feather
Number of feathers = 4.1×10^3 g / 0.0082 g
Simplifying the calculation:
Number of feathers = 5×10^2
So, you would need 5×10^2 feathers to make a weight of 4.1×10^3 g.
To find the number of feathers required to make a weight of 4.1×10^3 g, you need to divide the weight of a single feather (0.0082 g) into the total weight desired (4.1×10^3 g).
Mathematically, you can express this as:
Number of feathers = Total weight desired / Weight of a single feather
Substituting the given values:
Number of feathers = 4.1×10^3 g / 0.0082 g
To divide numbers written in scientific notation, you divide the coefficients (4.1) and subtract the exponents (3 - (-2)):
Number of feathers = 4.1 / 0.0082 × 10^(3 - (-2)) = 500 × 10^5
Since 500 × 10^5 can be expressed in scientific notation as 5 × 10^8 (by simplifying the coefficient), the answer is:
Number of feathers = 5 × 10^8