Mastering Scientific Notation: Multiply & Convert Challenges

A scientist measures the mass of a small particle as 3.5 x 10^-27 kg. If she has 4.2 x 10^3 particles, what is the total mass of all the particles in kg?

• 2.8 x 10^-24 kg

• 1.47 x 10^-23 kg

• 1.05 x 10^-23 kg

• 5.6 x 10^-22 kg

A car travels a distance of 1.2 x 10^5 meters in 3.0 x 10^2 seconds. What is the average speed of the car in meters per second?

• 350 m/s

• 400 m/s

• 500 m/s

• 300 m/s

The population of a small town is approximately 2.5 x 10^4 people. If the population increases by a factor of 1.2, what will be the new population in scientific notation?

• 2.0 x 10^4

• 2.4 x 10^4

• 3.5 x 10^4

• 3.0 x 10^4

A factory produces 5.0 x 10^6 widgets in a year. If the factory operates for 2.5 x 10^1 years, how many widgets does it produce in total?

• 2.5 x 10^7

• 1.25 x 10^8

• 1.0 x 10^8

• 5.0 x 10^9

A cell phone company sells 3.0 x 10^4 phones in one month. If they sell 1.5 x 10^2 phones each day, how many days did they sell phones?

• 200

• 150

• 250

• 300

The distance from Earth to the nearest star is about 4.2 x 10^16 meters. If a spaceship travels at a speed of 3.0 x 10^5 meters per second, how long will it take to reach the star in seconds?

• 1.0 x 10^9 seconds

• 5.6 x 10^12 seconds

• 1.4 x 10^11 seconds

• 2.8 x 10^10 seconds

A researcher is studying bacteria that reproduce every 2 hours. If the initial population is 1.0 x 10^3 bacteria, how many bacteria will there be after 6 hours in scientific notation?

• 8.0 x 10^3

• 1.0 x 10^4

• 2.0 x 10^3

• 4.0 x 10^3

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 far does it travel in 2.0 x 10^2 seconds?

• 1.0 x 10^5 meters

• 2.0 x 10^6 meters

• 1.5 x 10^6 meters

• 1.2 x 10^6 meters

A book has a weight of 2.5 x 10^1 grams. If a library has 1.2 x 10^3 such books, what is the total weight of the books in kilograms?

• 15 kg

• 30 kg

• 50 kg

• 25 kg

A computer processes data at a rate of 1.5 x 10^6 bytes per second. How many bytes can it process in 4.0 x 10^2 seconds?

• 1.2 x 10^9 bytes

• 4.0 x 10^8 bytes

• 6.0 x 10^8 bytes

• 3.0 x 10^7 bytes