Treat units like algebraic variables, setting up conversion factors as fractions to cancel out unwanted units until you arrive at the desired units.

Since 1 kilometer = 1000 meters, multiply the number of kilometers by 1000.

Since 1 liter = 1000 milliliters, divide the number of milliliters by 1000.

Multiply miles/hour by (5280 feet / 1 mile) and (1 hour / 3600 seconds) to cancel units and obtain feet/second.

Multiply gallons/minute by (3.785 liters / 1 gallon) and (60 minutes / 1 hour) to cancel units and obtain liters/hour.

Multiply km/hour by (1 mile / 1.609 km) to cancel units and obtain miles/hour.

Multiply radians by (180 / $$pi$$) to get degrees.

Multiply degrees by ($$\pi$$ / 180) to get radians.

Identify the given quantity and units, the desired units, and the relevant conversion factors.

Unit analysis helps ensure the correct setup of conversion problems, reduces errors, and enhances understanding of the conversion process.

kilo- means 1000. For example, 1 kilometer = 1000 meters.

centi- means 0.01. For example, 1 centimeter = 0.01 meters.

milli- means 0.001. For example, 1 milliliter = 0.001 liters.

1 inch = 2.54 centimeters

1 pound = 0.4536 kilograms

1 liter = 0.2642 gallons

$$°C = (°F - 32) × 5/9$$

$$°F = (°C × 9/5) + 32$$

360 degrees = 1 revolution

$$2\pi$$ radians = 1 revolution