
Directions: Choose the best answer for each question.
1. 
A computer can perform a specific arithmetic operation in 5 × 10^{7} seconds. How many such arithmetic operations can the computer perform in one hour?



2. 
The population of a city is estimated at 8 × 10 ^{6}, which is 16 times greater than the population of a small town. Using scientific notation, express the estimated population of the small town.



3. 
Light travels at approximately 3.0 × 10^{8} meters per second. How far does light travel in one week?



4. 
A research division of IBM employs approximately 5 × 10^{3} people. A software division of IBM employs approximately 50,000 people. How many times as much is the number of employees in the software division as the number of employees in the research division?



5. 
Mercury's average distance from the sun is 57,910,000 km. The Earth is approximately 93,000,000 miles from the sun. What would be the distance of a trip from Mercury to Earth, when Mercury and Earth are on opposite sides of the Sun.
Use scientific notation and the conversion that 1 km = 0.62 mi to solve this problem.



6. 
The approximate volume of the visible universe (a sphere with a radius of about 14 billion light years) is
1.1 × 10^{31} cubic lightyears. If a lightyear equals 9.2 × 10^{17} centimeters, how many cubic centimeters does the visible universe occupy?

(Information courtesy of NASA.) 

7. 
The halflife of Uranium 234 is 2.5 × 10^{5} years and the halflife of Plutonium is 8.0 × 10^{7} years. How many times greater is the halflife of Plutonium than Uranium 234?



8. 
The mass of particle A is approximately
5.4 × 10 ^{12} kilograms and the mass of particle B is approximately 8.6 × 10 ^{28} kilograms. Approximately how many particle Bs have the same mass as one particle A?



9. 
Light travels at a speed of 1.86 × 10^{5} miles per second. If a "light year" is the distance that light travels in one year, how many miles are in a light year?



10. 
Assume that there are 20,000 runners in the New York City Marathon. Each runner runs a distance of 26 miles. If you add together the total number of miles for all runners, how many times around the globe would the marathon runners have gone?
Consider the circumference of the earth to be 2.5 × 10^{4} miles.



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