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
To find the number of feathers needed, we need to divide the desired weight (4.1 * 10^3 G) by the weight of a single feather (0.0082 G).
Number of feathers needed = (4.1 * 10^3 G) / (0.0082 G)
To simplify the calculation, we can divide both numerator and denominator by 0.0082 G:
Number of feathers needed = (4.1 * 10^3 G) / (0.0082 G)
= 5 * 10^2
Therefore, you would need 5 * 10^2 (or 500) feathers to achieve 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, we need to divide the total weight by the weight of a single feather.
Weight of a single feather = 0.0082 g
Number of feathers = Weight of total / Weight of a single feather
= 4.1 * 10^3 g / 0.0082 g
To divide by a decimal, we can multiply both the numerator and denominator by a power of 10 to eliminate the decimal point. In this case, we will multiply by 100.
Number of feathers = (4.1 * 10^3 g * 100) / (0.0082 g * 100)
= 410 * 10^3 g / 0.82 g
= 500 * 10^3 g / 0.82 g
Dividing by 0.82 can be simplified by multiplying both numerator and denominator by 100.
Number of feathers = (500 * 10^3 g / 0.82 g) * (100 g / 100 g)
= (500 * 10^3 * 100 g) / (0.82 * 100 g)
= 5 * 10^7 g / 82 g
Now, we can simplify the fraction by canceling out common factors.
Number of feathers = (5/82) * 10^7
≈ 0.061 * 10^7
Finally, in scientific notation, we write the answer as:
Number of feathers = 6.1 * 10^(-2) * 10^7
= 6.1 * 10^(-2+7)
= 6.1 * 10^5
To determine the number of feathers needed to make a weight of 4.1 * 10^3 g, you need to divide the total weight by the weight of a single feather.
The weight of a single feather is given as 0.0082 g. To calculate the number of feathers needed, you can use the following formula:
Number of feathers = Total weight / Weight of a single feather
Number of feathers = 4.1 * 10^3 g / 0.0082 g
To perform the division, divide the numbers and subtract their exponents:
Number of feathers = (4.1 / 0.0082) * 10^(3 - (-2))
Number of feathers = 500 * 10^5
Expressing it in scientific notation, we can write it as:
Number of feathers = 5 * 10^7
Therefore, you would need 5 * 10^7 feathers to make a weight of 4.1 * 10^3 g.