Exploring Scientific Notation: Word Problems & Division

A scientist measures the mass of a small particle as 3.2 x 10^-27 kg. If she has 8.0 x 10^-3 kg of these particles, how many particles does she have?

• 1.6 x 10^24

• 3.0 x 10^25

• 2.5 x 10^24

• 4.0 x 10^23

A bacteria culture grows at a rate of 1.5 x 10^6 bacteria per hour. If the culture is divided into 5 equal parts, how many bacteria are in each part?

• 2 x 10^5

• 4 x 10^5

• 3 x 10^5

• 1 x 10^6

The distance from Earth to a nearby star is approximately 4.2 x 10^16 meters. If a spaceship travels at a speed of 2.1 x 10^12 meters per hour, how many hours will it take to reach the star?

• 30000 hours

• 15000 hours

• 20000 hours

• 50000 hours

A car can travel 6.0 x 10^5 meters on a full tank of gas. If the car uses 2.0 x 10^2 meters per liter of gas, how many liters of gas does it have in the tank?

• 3000 liters

• 600 liters

• 4500 liters

• 1500 liters

A small company produces 1.2 x 10^4 widgets in a day. If they want to produce 3.6 x 10^5 widgets, how many days will it take?

• 30 days

• 60 days

• 45 days

• 15 days

An astronaut's space suit weighs 2.5 x 10^2 kg. If the total weight of the equipment is 1.0 x 10^3 kg, how many space suits are included in the total weight?

• 5

• 4

• 2

• 3

A computer can process 4.5 x 10^9 calculations per second. If it runs for 2.0 x 10^3 seconds, how many calculations does it process in that time?

• 8.0 x 10^12

• 9.0 x 10^12

• 1.5 x 10^12

• 7.0 x 10^12

A water reservoir holds 5.0 x 10^6 liters of water. If it is drained at a rate of 1.0 x 10^3 liters per hour, how many hours will it take to empty the reservoir?

• 5000 hours

• 2500 hours

• 10000 hours

• 7500 hours

A research lab has 2.5 x 10^4 samples. If they need to divide these samples into groups of 5.0 x 10^2 samples each, how many groups can they create?

• 50

• 75

• 25

• 100

A smartphone's battery has a capacity of 3.7 x 10^3 mAh. If it discharges at a rate of 1.0 x 10^2 mAh per hour, how many hours will the battery last?

• 50 hours

• 15 hours

• 37 hours

• 25 hours