Mastering Scientific Notation: Exponents & Estimation Skills

A scientist measures the mass of a small particle as 3.2 x 10^-9 grams. If she has 5.5 times as many particles, what is the total mass in scientific notation?

• 1.2 x 10^-8 grams

• 3.5 x 10^-9 grams

• 6.4 x 10^-8 grams

• 1.76 x 10^-8 grams

The distance from Earth to a star is approximately 4.2 x 10^16 meters. If a spaceship travels at a speed of 2.1 x 10^7 meters per hour, how many hours will it take to reach the star?

• 2 x 10^9 hours

• 3 x 10^7 hours

• 5 x 10^10 hours

• 1 x 10^8 hours

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?

• 4000

• 8000

• 3000

• 6000

A car travels 6.4 x 10^5 meters in a day. How far will it travel in 3 days? Express your answer in scientific notation.

• 2.4 x 10^6

• 1.8 x 10^6

• 1.5 x 10^6

• 1.92 x 10^6

The volume of a small water bottle is 2.5 x 10^-2 cubic meters. If a factory produces 1.2 x 10^4 bottles in a day, what is the total volume of water produced in scientific notation?

• 1.5 x 10^3

• 4.0 x 10^1

• 2.4 x 10^2

• 3.0 x 10^2

A computer processes data at a rate of 3.0 x 10^6 bytes per second. How many bytes does it process in 2.5 x 10^2 seconds?

• 3.0 x 10^7 bytes

• 7.5 x 10^8 bytes

• 1.5 x 10^9 bytes

• 6.0 x 10^8 bytes

A cell phone tower covers an area of 1.8 x 10^3 square kilometers. If there are 4 towers, what is the total area covered in scientific notation?

• 7.2 x 10^3 km²

• 5.0 x 10^3 km²

• 8.0 x 10^3 km²

• 6.4 x 10^3 km²

A light year is about 9.46 x 10^15 meters. If a spaceship travels 3.0 x 10^8 meters per second, how many light years does it travel in 1 year?

• 10 light years

• 1 light year

• 2 light years

• 0.5 light years

A small asteroid has a diameter of 2.5 x 10^-3 kilometers. If there are 8 such asteroids, what is the total diameter in scientific notation?

• 1.0 x 10^-2 kilometers

• 2.5 x 10^-3 kilometers

• 2.0 x 10^-2 kilometers

• 3.0 x 10^-2 kilometers

A factory produces 5.0 x 10^3 toys per day. If it operates for 2.0 x 10^2 days, how many toys does it produce in total?

• 5.0 x 10^5

• 2.0 x 10^4

• 1.0 x 10^7

• 1.0 x 10^6