Mastering Scientific Notation: Conversions & Multiplications

A scientist measures the mass of a small particle as 3.5 x 10^-9 grams. Convert this mass to standard notation.

• 0.0000000035 grams

• 3.5 grams

• 0.00000035 grams

• 0.0000035 grams

The distance from Earth to the nearest star is about 4.2 x 10^13 kilometers. How would you express this distance in standard notation?

• 42000000000000 kilometers

• 4.2 x 10^12 kilometers

• 420000000000000 kilometers

• 4200000000000 kilometers

If a bacteria population doubles every hour and starts with 1.2 x 10^3 bacteria, how many bacteria will there be after 3 hours?

• 4.8 x 10^3

• 12.0 x 10^3

• 6.4 x 10^3

• 9.6 x 10^3

A comet travels at a speed of 2.5 x 10^4 kilometers per hour. How far will it travel in 5 hours?

• 150000 kilometers

• 200000 kilometers

• 100000 kilometers

• 125000 kilometers

The volume of a small water droplet is approximately 2.5 x 10^-6 liters. If you have 4 droplets, what is the total volume in scientific notation?

• 5.0 x 10^-6 liters

• 1.5 x 10^-5 liters

• 1.0 x 10^-5 liters

• 2.0 x 10^-5 liters

A cell phone battery can hold 2.0 x 10^3 milliamp hours. If you use 5 batteries, how many milliamp hours do you have in total?

• 5.0 x 10^3 milliamp hours

• 1.0 x 10^4 milliamp hours

• 2.5 x 10^4 milliamp hours

• 1.5 x 10^3 milliamp hours

A computer can process 1.5 x 10^8 calculations per second. How many calculations can it process in 10 seconds?

• 1.5 x 10^10

• 1.5 x 10^8

• 1.5 x 10^7

• 1.5 x 10^9

The speed of light is about 3.0 x 10^8 meters per second. How far does light travel in 2 seconds?

• 6.0 x 10^8 meters

• 4.0 x 10^8 meters

• 1.5 x 10^8 meters

• 3.0 x 10^8 meters

A small piece of gold weighs 5.0 x 10^-3 kilograms. If you have 10 pieces, what is the total weight in scientific notation?

• 2.5 x 10^0 kg

• 5.0 x 10^0 kg

• 5.0 x 10^-2 kg

• 1.0 x 10^1 kg

A factory produces 1.2 x 10^6 toys in a year. If the factory operates for 3 years, how many toys does it produce in total in scientific notation?

• 3.6 x 10^6

• 1.2 x 10^7

• 4.8 x 10^6

• 2.4 x 10^6