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  • 02-02-2017
  • Mathematics
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Explain why multiplying a quantity by a conversion factor does not change the quantity's value

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Zepdrix
Zepdrix Zepdrix
  • 02-02-2017
A conversion factor can be more accurately described as a UNIT. A unit is something equivalent to 1. When we multiply something by 1, it doesn't change it's value, although it might change how it looks.

Example:
1 foot = 12 inches

Dividing both sides by 12 inches gives us this unit,

[tex]\rm \frac{1foot}{12inches}=1[/tex]

So when we multiply a quantity by (1foot)/(12inches),
we're really just multiplying that quantity by 1,
which doesn't change its value.
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