Question
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.
To find the number of feathers needed, we can set up a proportion.
Let x be the number of feathers needed.
We can set up the proportion:
0.0082g/1 feather = 4.1x10^3g/x feathers
Cross-multiplying, we get:
0.0082g * x feathers = (4.1x10^3g) * 1 feather
0.0082x = 4.1x10^3
Dividing both sides of the equation by 0.0082, we get:
x = (4.1x10^3) / 0.0082
Calculating this, we get:
x ≈ 500000
Therefore, you would need approximately 5.0 x 10^5 feathers to make a weight of 4.1x10^3 g.
To find out how many feathers are needed to reach a weight of 4.1 × 10^3 g, you can divide the desired weight by the weight of one feather.
Step 1: Set up the equation
Let's represent the number of feathers needed by "x".
0.0082 g/feather × x feathers = 4.1 × 10^3 g
Step 2: Solve for x
Divide both sides of the equation by 0.0082 g:
x feathers = (4.1 × 10^3 g) / (0.0082 g/feather)
x feathers ≈ 500,000
Step 3: Write the answer in scientific notation
The answer is x = 5 × 10^5 feathers.
Therefore, you would need 5 × 10^5 feathers to reach a weight of 4.1 × 10^3 g.
To find out how many feathers are needed to make a weight of 4.1×10^3 g, you can divide the total weight by the weight of a single feather.
1. Start by dividing the total weight (4.1×10^3 g) by the weight of a single feather (0.0082 g):
(4.1×10^3 g) / (0.0082 g)
2. To divide these numbers, you subtract the exponents of 10 and divide the coefficients:
(4.1 / 0.0082) × 10^(3-(-2))
3. Perform the division:
(4.1 / 0.0082) × 10^5
After dividing, you get:
500 × 10^5
4. Rewrite the result in scientific notation:
5×10^2 × 10^5
To combine the exponents, add them:
5 × 10^(2+5)
Which equals:
5 × 10^7
Therefore, you would need 5×10^7 feathers to make a weight of 4.1×10^3 g.