The average outside temperature in Honolulu during August is 88.7°F.
Convert this temperature to degrees Celsius.
Round your answer to 3 significant digits.
The correct answer and explanation is:
To convert a temperature from Fahrenheit to Celsius, you can use the following formula: C=59×(F−32)C = \frac{5}{9} \times (F – 32)
Where:
- CC is the temperature in Celsius
- FF is the temperature in Fahrenheit
In this case, the temperature in Honolulu is 88.7°F. Using the formula, we substitute the value for Fahrenheit: C=59×(88.7−32)C = \frac{5}{9} \times (88.7 – 32)
First, subtract 32 from 88.7: 88.7−32=56.788.7 – 32 = 56.7
Now, multiply 56.7 by 5: 56.7×5=283.556.7 \times 5 = 283.5
Next, divide by 9 to get the temperature in Celsius: C=283.59=31.5C = \frac{283.5}{9} = 31.5
So, the temperature in Celsius is 31.5°C when rounded to three significant digits.
This formula works because the Fahrenheit scale is based on a 180-degree difference between the freezing and boiling points of water, whereas the Celsius scale is based on a 100-degree difference. The conversion factor 59\frac{5}{9} accounts for this difference, and the subtraction of 32 adjusts for the different starting points of the scales.
In summary, a temperature of 88.7°F converts to 31.5°C, rounded to three significant digits. This conversion is useful for comparing temperatures in different regions, especially when dealing with global weather data.