High School

Convert the following temperatures to degrees Celsius:



a) [tex]-20^{\circ} F[/tex]

b) [tex]80^{\circ} F[/tex]

c) [tex]375^{\circ} F[/tex]

d) [tex]2^{\circ} F[/tex]

Answer :

To convert a temperature from degrees Fahrenheit to degrees Celsius, we use the formula

$$
\text{°C} = (\text{°F} - 32) \cdot \frac{5}{9}.
$$

We will work through each temperature step by step.

1. For $80^\circ F$:
- Subtract 32 from 80:
$$
80 - 32 = 48.
$$
- Multiply the result by $\frac{5}{9}$:
$$
48 \cdot \frac{5}{9} = \frac{240}{9} \approx 26.666666666666668.
$$
- Thus, $80^\circ F$ is approximately $26.67^\circ C$.

2. For $-20^\circ F$:
- Subtract 32 from -20:
$$
-20 - 32 = -52.
$$
- Multiply the result by $\frac{5}{9}$:
$$
-52 \cdot \frac{5}{9} = \frac{-260}{9} \approx -28.88888888888889.
$$
- Hence, $-20^\circ F$ converts to approximately $-28.89^\circ C$.

3. For $375^\circ F$:
- Subtract 32 from 375:
$$
375 - 32 = 343.
$$
- Multiply the result by $\frac{5}{9}$:
$$
343 \cdot \frac{5}{9} = \frac{1715}{9} \approx 190.55555555555554.
$$
- Therefore, $375^\circ F$ equals about $190.56^\circ C$.

4. For $2^\circ F$:
- Subtract 32 from 2:
$$
2 - 32 = -30.
$$
- Multiply the result by $\frac{5}{9}$:
$$
-30 \cdot \frac{5}{9} = \frac{-150}{9} \approx -16.666666666666668.
$$
- So, $2^\circ F$ is approximately $-16.67^\circ C$.

In summary, the conversions are:

- $80^\circ F \approx 26.67^\circ C$
- $-20^\circ F \approx -28.89^\circ C$
- $375^\circ F \approx 190.56^\circ C$
- $2^\circ F \approx -16.67^\circ C$