Sure, let's tackle the conversions from Fahrenheit to Celsius step-by-step using the formula:
[tex]\[ \text{°C} = (\text{°F} - 32) \times \frac{5}{9} \][/tex]
1. Convert the following numbers from degrees Fahrenheit to degrees Celsius.
a. 0° F
[tex]\[°C = (0 - 32) \times \frac{5}{9} = -17.77777777777778° C \][/tex]
b. 32° F (freezing point)
[tex]\[°C = (32 - 32) \times \frac{5}{9} = 0.0° C \][/tex]
c. 70° F (room temperature)
[tex]\[°C = (70 - 32) \times \frac{5}{9} = 21.11111111111111° C \][/tex]
d. 100° F
[tex]\[°C = (100 - 32) \times \frac{5}{9} = 37.77777777777778° C \][/tex]
e. 98.6° F (body temperature)
[tex]\[°C = (98.6 - 32) \times \frac{5}{9} = 37.0° C \][/tex]
f. 212° F (boiling point)
[tex]\[°C = (212 - 32) \times \frac{5}{9} = 100.0° C \][/tex]
So, the conversions are as follows:
a. 0° F = -17.77777777777778° C
b. 32° F = 0.0° C
c. 70° F = 21.11111111111111° C
d. 100° F = 37.77777777777778° C
e. 98.6° F = 37.0° C
f. 212° F = 100.0° C
