Real-World Scientific Notation & Problem Solving Quiz

A scientist measures the mass of a small particle as 3.2 x 10^-27 kg. If she has 5.0 x 10^3 particles, what is the total mass in kg?

• 1.6 x 10^-23 kg

• 1.0 x 10^-23 kg

• 4.0 x 10^-24 kg

• 2.5 x 10^-22 kg

A bacteria culture grows at a rate of 2.5 x 10^6 bacteria per hour. How many bacteria will there be after 4 hours?

• 5 x 10^6

• 1 x 10^7

• 2 x 10^7

• 1.5 x 10^7

The distance from Earth to a star is approximately 4.2 x 10^16 meters. If a spaceship travels at a speed of 1.5 x 10^7 meters per hour, how long will it take to reach the star in hours?

• 3.5 x 10^10 hours

• 2.8 x 10^9 hours

• 5.0 x 10^7 hours

• 1.2 x 10^8 hours

A car can travel 6.0 x 10^2 kilometers on 1.5 x 10^2 liters of fuel. What is the car's fuel efficiency in kilometers per liter?

• 5.0 km/liter

• 6.0 km/liter

• 4.0 km/liter

• 3.0 km/liter

A researcher is studying a virus that has a volume of 1.2 x 10^-12 cubic meters. If she has 3.0 x 10^5 samples, what is the total volume of all samples in cubic meters?

• 3.6 x 10^-7 m^3

• 3.0 x 10^-5 m^3

• 1.2 x 10^-7 m^3

• 3.6 x 10^-6 m^3

A satellite orbits Earth at an altitude of 3.6 x 10^7 meters. If it travels at a speed of 7.5 x 10^3 meters per second, how long does it take to complete one orbit in seconds?

• 35440 seconds

• 30000 seconds

• 25000 seconds

• 40000 seconds

A company produces 2.0 x 10^4 units of a product each day. How many units will they produce in 30 days?

• 5.0 x 10^5

• 7.0 x 10^5

• 1.0 x 10^6

• 6.0 x 10^5

The speed of light is approximately 3.0 x 10^8 meters per second. How far does light travel in 5.0 x 10^2 seconds in meters?

• 4.0 x 10^{12} meters

• 1.5 x 10^{11} meters

• 2.5 x 10^{11} meters

• 1.0 x 10^{10} meters

A container holds 4.5 x 10^-3 liters of liquid. If you have 2.0 x 10^2 containers, what is the total volume of liquid in liters?

• 9.0 x 10^-1 liters

• 1.8 x 10^1 liters

• 2.0 x 10^-1 liters

• 4.5 x 10^2 liters

A computer processes data at a rate of 1.2 x 10^9 bits per second. How many bits can it process in 10 seconds?

• 1.2 x 10^10 bits

• 1.2 x 10^11 bits

• 1.2 x 10^9 bits

• 1.2 x 10^8 bits