Lesson 4: Conversions Between SI and Imperial - Temperature Conversion

   Constructing Knowledge

Both SI and Imperial temperature units are commonly used. The common unit for temperature in the SI system is degrees Celsius (°C), and for the imperial system the unit is degrees Fahrenheit (°F). Use the following formulas to convert temperature between SI and Imperial units.

\(°\text{C}=\frac{5}{9}\left(°\text{F}-32\right)\)

\(°\text{F}=°\text{C}\times \frac{9}{5}+32\)

   Multimedia

A video demonstrating temperature conversions between the SI and Imperial system is provided.



EXAMPLE 1


A recipe requires an oven to be heated to 180°C, but the oven's temperature is given only in degrees Fahrenheit. At what temperature should the oven be set, in degrees Fahrenheit?

Solution


\(\begin{align} °\text{F}&=°\text{C}\times \frac{9}{5}+32 \\ \\ &=180\times \frac{9}{5}+32 \\ \\ &=356 \\ \end{align}\)

The oven will need to be set at 356 °F.

EXAMPLE 2


In North American, the highest recorded temperature of 134 °F was recorded in Death Valley, California in 1913. What is that highest recorded temperature, in degrees Celsius?

Solution


\(\begin{align} °\text{C}&=\frac{5}{9}\left(°\text{F}-32\right) \\ \\ &=\frac{5}{9}\left(134-32\right) \\ \\ &=56.7 \\ \end{align}\)

The highest recorded temperature in North America is approximately 56.7 °C.


Now, it is your turn! Complete the questions in your Chapter 5, Lesson 4 Practice Makes Perfect that refer to Temperature Conversion.



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