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Paladinen [302]
3 years ago
11

In converting 10 inches to centimeters, what unit (omit the number) would you place in the numerator of your ratio?

Mathematics
1 answer:
belka [17]3 years ago
5 0

Answer:

  centimeters

Step-by-step explanation:

The numerator of the conversion factor always has the "to" units. The denominator has the "from" units. That way, when you multiply, the "from" units cancel:

  (xx <em>from</em>) · (yy <em>to</em>)/(zz <em>from</em>) = xx·yy/zz · (<em>from/from</em>) · <em>to</em> = xx·yy/zz · <em>to</em>

Here, you want to convert to centimeters, so centimeters will be the units in the numerator.

  10 in · (2.54 cm)/(1 in) = 25.4 cm

_____

The conversion factor is always "1". That is, the numerator and denominator are always <u>equal</u> in value. Here, 2.54 cm = 1 in, so (2.54 cm)/(1 in) = 1. You can multiply by 1 anytime you like. For units conversion, it only has the effect of changing the units.

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