Mastering Scientific Notation: Multiply & Convert Challenges

A scientist measures the mass of a small particle as 3.2 x 10^-27 kg. If she has 5.0 x 10^3 particles, what is the total mass in kg?

• 4.0 x 10^-23 kg

• 1.0 x 10^-23 kg

• 2.5 x 10^-23 kg

• 1.6 x 10^-23 kg

The distance from Earth to a distant star is approximately 4.5 x 10^16 meters. If a spaceship travels at a speed of 2.0 x 10^7 meters per hour, how long will it take to reach the star in hours?

• 3.0 x 10^8 hours

• 2.25 x 10^9 hours

• 1.5 x 10^9 hours

• 5.0 x 10^10 hours

A bacterium has a length of 1.5 x 10^-6 meters. If you have 2.0 x 10^4 bacteria lined up, what is the total length in meters?

• 0.3 meters

• 0.015 meters

• 0.03 meters

• 0.005 meters

A car's fuel efficiency is 2.5 x 10^2 miles per gallon. If the car has a fuel tank capacity of 1.5 x 10^1 gallons, how far can the car travel on a full tank in miles?

• 3750 miles

• 4000 miles

• 3000 miles

• 2500 miles

The speed of light is approximately 3.0 x 10^8 meters per second. How far does light travel in 5.0 x 10^2 seconds in meters?

• 1.0 x 10^{11} meters

• 1.5 x 10^{11} meters

• 2.0 x 10^{11} meters

• 3.0 x 10^{10} meters

A small electronic component has a resistance of 4.7 x 10^3 ohms. If you connect 3.0 x 10^2 of these components in series, what is the total resistance in ohms?

• 5.6 x 10^5 ohms

• 1.41 x 10^6 ohms

• 2.1 x 10^6 ohms

• 1.2 x 10^7 ohms

The volume of a small droplet of water is about 2.5 x 10^-6 liters. If you have 1.2 x 10^5 droplets, what is the total volume in liters?

• 0.5 liters

• 1.2 liters

• 0.3 liters

• 0.1 liters

A computer processes data at a rate of 1.2 x 10^9 bits per second. How many bits can it process in 3.0 x 10^2 seconds?

• 3.0 x 10^11 bits

• 3.6 x 10^11 bits

• 1.2 x 10^12 bits

• 4.8 x 10^10 bits

A cell phone tower can transmit signals over a distance of 1.5 x 10^4 meters. If the tower is located 2.0 x 10^2 meters above ground, what is the total distance from the tower to the edge of its signal range in meters?

• 18000.0

• 20000.0

• 12000.0

• 15000.0

The mass of a grain of sand is approximately 5.0 x 10^-4 kg. If there are 1.0 x 10^6 grains of sand, what is the total mass in kg?

• 50 kg

• 500 kg

• 5 kg

• 5000 kg