Question

Use three unit multipliers to convert 2640 feet into meters

Answer 1

Use the unit multipliers to go from feet to miles, from miles to km and from km to meters. This can be done all at once using dimensional analysis.

`\text{2640 feet}(1 mile)/(5280 feet)*(1.6 km)/(1 mile) * (1000m)/(1km)`

Next multiply all the numerators together. 2640 is part of the numerator expression

Numerators: 2640 * 1 * 1.6*1000 = 4224000

Denominators: 5280*1 * 1 = 5280

Now divide the numerators by the denominators

Numerator / denominator = 4224000 / 5280= 800

Answer: 2640 feet = 800 meters.