Mathematics

Question

Explain why multiplying a quantity by a conversion factor does not change the quantity's value

1 Answer

  • 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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