High School

Please convert temperatures between Celsius and Fahrenheit by using the conversion equations below.

Remember to do the calculations inside the parentheses first.

Fahrenheit (F) = (9/5 × C) + 32

Celsius (C) = (F – 32) × (5/9)

a. 80 degrees Fahrenheit equals __________ degrees Celsius.

b. 20 degrees Fahrenheit equals __________ degrees Celsius.

c. 0 degrees Celsius equals __________ degrees Fahrenheit.

d. 20 degrees Celsius equals __________ degrees Fahrenheit.

Answer :

a. 80 degrees Fahrenheit equals 26.67 degrees Celsius.

b. 20 degrees Fahrenheit equals -6.67 degrees Celsius.

c. 0 degrees Celsius equals 32.0 degrees Fahrenheit.

d. 20 degrees Celsius equals 68.0 degrees Fahrenheit. ​

To convert temperatures between Celsius and Fahrenheit, we use the following conversion equations:

  1. Fahrenheit (F) to Celsius (C):
    [tex]C = \frac{(F - 32) \times 5}{9}[/tex]

  2. Celsius (C) to Fahrenheit (F):
    [tex]F = \left(\frac{9}{5} \times C\right) + 32[/tex]

Let's solve each part of the problem step by step:

Part (a): Convert 80 degrees Fahrenheit to Celsius

  1. Plug in 80 for F in the first equation:
    [tex]C = \frac{(80 - 32) \times 5}{9}[/tex]
  2. Calculate:
    [tex]C = \frac{48 \times 5}{9} = \frac{240}{9} \approx 26.67 \text{ degrees Celsius}[/tex]

Part (b): Convert 20 degrees Fahrenheit to Celsius

  1. Use the first equation again with F = 20:
    [tex]C = \frac{(20 - 32) \times 5}{9}[/tex]
  2. Calculate:
    [tex]C = \frac{-12 \times 5}{9} = \frac{-60}{9} \approx -6.67 \text{ degrees Celsius}[/tex]

Part (c): Convert 0 degrees Celsius to Fahrenheit

  1. Use the second equation with C = 0:
    [tex]F = \left(\frac{9}{5} \times 0\right) + 32[/tex]
  2. Calculate:
    [tex]F = 0 + 32 = 32 \text{ degrees Fahrenheit}[/tex]

Part (d): Convert 20 degrees Celsius to Fahrenheit

  1. Use the second equation with C = 20:
    [tex]F = \left(\frac{9}{5} \times 20\right) + 32[/tex]
  2. Calculate:
    [tex]F = 36 + 32 = 68 \text{ degrees Fahrenheit}[/tex]

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