Master Scientific Notation: Multiply & Convert 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?

• 1.5 x 10^-26 kg

• 3.2 x 10^-26 kg

• 2.0 x 10^-27 kg

• 1.76 x 10^-26 kg

The distance from Earth to a nearby star is approximately 4.2 x 10^16 meters. If a spaceship travels at a speed of 2.0 x 10^7 meters per second, how long will it take to reach the star in seconds, expressed in scientific notation?

• 2.1 x 10^9

• 3.0 x 10^8

• 1.5 x 10^10

• 5.2 x 10^7

A bacteria culture grows at a rate of 1.5 x 10^3 bacteria per hour. If the culture is observed for 4 hours, how many bacteria are there in total, expressed in scientific notation?

• 6.0 x 10^3

• 3.0 x 10^3

• 1.2 x 10^4

• 4.5 x 10^3

A car's fuel efficiency is rated at 2.5 x 10^2 miles per gallon. If the car has a fuel tank capacity of 1.2 x 10^1 gallons, how far can the car travel on a full tank in scientific notation?

• 2.4 x 10^3 miles

• 3.5 x 10^2 miles

• 3.0 x 10^3 miles

• 1.2 x 10^4 miles

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, expressed in scientific notation?

• 2.5 x 10^11 meters

• 1.0 x 10^10 meters

• 4.0 x 10^12 meters

• 1.5 x 10^11 meters

A computer processes data at a rate of 4.0 x 10^6 bytes per second. How many bytes can it process in 3.0 x 10^2 seconds, expressed in scientific notation?

• 1.5 x 10^8

• 2.4 x 10^9

• 1.2 x 10^9

• 1.0 x 10^9

A small asteroid has a diameter of 1.2 x 10^3 meters. If another asteroid is 3 times larger, what is the diameter of the larger asteroid in scientific notation?

• 2.4 x 10^3

• 3.6 x 10^3

• 1.2 x 10^4

• 4.8 x 10^3

The volume of a small container is 2.5 x 10^-3 cubic meters. If you have 10 such containers, what is the total volume in scientific notation?

• 2.5 x 10^-1 m^3

• 2.5 x 10^0 m^3

• 2.5 x 10^-2 m^3

• 2.5 x 10^-4 m^3

A cell phone's battery can store 2.0 x 10^4 milliamp hours. If a charger can charge the battery at a rate of 5.0 x 10^2 milliamp hours per hour, how many hours will it take to fully charge the battery in scientific notation?

• 3.0 x 10^1

• 5.0 x 10^0

• 4.0 x 10^1

• 2.0 x 10^2

A factory produces 1.5 x 10^5 toys per day. If the factory operates for 2.0 x 10^3 days, how many toys does it produce in total, expressed in scientific notation?

• 4.5 x 10^7

• 1.0 x 10^9

• 3.0 x 10^8

• 2.5 x 10^8