Number as Measure Math Example 4

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Example 4

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A thermometer reads 25ยฐ25ยฐC. Convert this to Fahrenheit using F=95C+32F = \frac{9}{5}C + 32.

Solution

  1. 1
    Substitute C=25C = 25: F=95(25)+32F = \frac{9}{5}(25) + 32.
  2. 2
    95ร—25=2255=45\frac{9}{5} \times 25 = \frac{225}{5} = 45. Then 45+32=7745 + 32 = 77.

Answer

77ยฐF77ยฐ\text{F}
Different unit systems use different scales to measure the same physical attribute (temperature). The conversion formula changes the number but preserves the underlying quantity. The same physical warmth is described as 25 in Celsius and 77 in Fahrenheit.

About Number as Measure

Using numbers to represent the size or amount of a real-world quantity, always paired with a unit of measurement.

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