Real-World Scientific Notation: Problem Solving Challenges

A scientist measures the mass of a small particle as 3.2 x 10^-27 kg. If she has 5.5 times as many particles, what is the total mass in scientific notation?

• 4.0 x 10^-27 kg

• 2.5 x 10^-26 kg

• 1.2 x 10^-26 kg

• 1.76 x 10^-26 kg

A bacteria culture grows at a rate of 2.1 x 10^5 bacteria per hour. How many bacteria will there be after 4 hours? Express your answer in scientific notation.

• 8.4 x 10^5

• 6.3 x 10^5

• 1.0 x 10^6

• 4.2 x 10^5

The distance from Earth to a nearby star is approximately 4.2 x 10^16 meters. If a spaceship travels at a speed of 3.0 x 10^7 meters per second, how long will it take to reach the star in seconds?

• 1.0 x 10^10 seconds

• 5.0 x 10^8 seconds

• 2.8 x 10^9 seconds

• 1.4 x 10^9 seconds

A car can travel 1.5 x 10^3 kilometers on a full tank of gas. If the car uses 2.5 x 10^2 kilometers per liter of gas, how many liters of gas does the car have in its tank?

• 8

• 4

• 6

• 10

A factory produces 6.4 x 10^4 widgets per day. If the factory operates for 3.5 x 10^2 days, how many widgets does it produce in total?

• 1.92 x 10^7

• 2.24 x 10^7

• 5.12 x 10^8

• 3.84 x 10^6

The volume of a small water bottle is 2.5 x 10^-3 cubic meters. If a truck can carry 1.2 x 10^2 such bottles, what is the total volume of water the truck can carry in scientific notation?

• 3.0 x 10^2

• 3.0 x 10^0

• 1.2 x 10^-1

• 2.5 x 10^2

A computer processes data at a rate of 1.8 x 10^9 bits per second. How many bits can it process in 2.5 x 10^3 seconds?

• 3.6 x 10^12 bits

• 5.4 x 10^12 bits

• 4.5 x 10^12 bits

• 2.5 x 10^12 bits

A researcher finds that the concentration of a chemical in a solution is 4.0 x 10^-5 moles per liter. If she has 2.0 x 10^2 liters of the solution, what is the total amount of the chemical in moles?

• 4.0 x 10^-2 moles

• 1.0 x 10^-4 moles

• 2.0 x 10^3 moles

• 8.0 x 10^-3 moles

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

• 25000 seconds

• 30000 seconds

• 40000 seconds

A smartphone has a storage capacity of 1.2 x 10^9 bytes. If an app takes up 3.0 x 10^5 bytes, how many apps can be installed on the smartphone?

• 5000

• 10000

• 2000

• 4000