Question
There are about 1.6×10^3 meters in a mile. About how many miles are there in 3.52×10^7 meters? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
To find how many miles are there in 3.52×10^7 meters, we divide the number of meters by the conversion factor of 1.6×10^3 meters/mile.
3.52×10^7 / 1.6×10^3 = 2.2×10^4 miles
Therefore, there are approximately 2.2×10^4 miles in 3.52×10^7 meters.
An online data storage facility has 1.326×10^13 bytes of storage available. It has 2.6×10^4 customers. How many bytes of storage can each customer use? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
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To find out how many bytes of storage each customer can use, we divide the total available storage by the number of customers.
1.326×10^13 bytes / 2.6×10^4 customers
To divide the numbers, we subtract the exponents:
1.326/2.6 = 0.51
And we subtract the exponents of the powers of 10:
10^13 / 10^4 = 10^9
Putting it all together, we have:
0.51 × 10^9 bytes
Therefore, each customer can use approximately 0.51 × 10^9 bytes of storage.
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)
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To find out how many feathers would be needed to make a weight of 4.1×10^3 g, we divide the desired weight by the weight of one feather.
4.1×10^3 g / 0.0082 g
To divide the numbers, we subtract the exponents:
4.1/0.0082 = 500
And we subtract the exponents of the powers of 10:
10^3 / 10^-3 = 10^6
Putting it all together, we have:
500 × 10^6 feathers
Therefore, you would need approximately 500 × 10^6 feathers to make a weight of 4.1×10^3 g.