bubble1447
bubble1447 bubble1447
  • 12-11-2018
  • Mathematics
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use three unit multipliers to convert 2640 feet into meters

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jcherry99
jcherry99 jcherry99
  • 12-11-2018

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.

[tex]\text{2640 feet}\dfrac{1 mile}{5280 feet}*\dfrac{1.6 km}{1 mile} * \dfrac{1000m}{1km}[/tex]

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.

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