Mastering Scientific Notation: Multiplication & Conversion

A scientist measures the mass of a small particle as 3.5 x 10^-9 grams. If she has 4.2 x 10^3 particles, what is the total mass of all the particles in grams?

• 1.47 x 10^-5 grams

• 3.0 x 10^-5 grams

• 1.05 x 10^-5 grams

• 2.8 x 10^-5 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 10^5 bacteria per milliliter. If you have 2.0 x 10^2 milliliters of the culture, how many bacteria do you have in total?

• 4.5 x 10^6

• 1.2 x 10^7

• 2.0 x 10^8

• 3.0 x 10^7

A car can travel 6.0 x 10^2 kilometers on a full tank of gas. If the car uses 1.5 x 10^1 liters of gas per 100 kilometers, how many liters of gas does it use for the entire trip?

• 100 liters

• 75 liters

• 90 liters

• 120 liters

The volume of a small balloon is 2.5 x 10^3 cubic centimeters. If you have 8 balloons, what is the total volume of the balloons in cubic centimeters?

• 20000

• 15000

• 30000

• 10000

A computer processes data at a rate of 3.0 x 10^6 bytes per second. How many bytes can it process in 5.0 x 10^2 seconds?

• 1.0 x 10^9 bytes

• 2.5 x 10^9 bytes

• 1.5 x 10^9 bytes

• 3.0 x 10^9 bytes

A light year is about 9.46 x 10^15 meters. How many light years are there in 3.0 x 10^16 meters?

• 2.5 light years

• 1.8 light years

• 4.0 light years

• 3.17 light years

A package weighs 2.0 x 10^2 grams. If you have 5 packages, what is the total weight in kilograms?

• 2 kilograms

• 10 kilograms

• 1 kilogram

• 0.5 kilograms

The area of a small plot of land is 1.2 x 10^4 square meters. If you want to divide it into 3 equal sections, what is the area of each section in square meters?

• 4000 square meters

• 6000 square meters

• 5000 square meters

• 3000 square meters

A factory produces 4.5 x 10^3 toys per day. How many toys does it produce in 2.0 x 10^2 days?

• 9.0 x 10^5 toys

• 1.0 x 10^6 toys

• 7.5 x 10^4 toys

• 8.0 x 10^5 toys