Final answer:
The task involves converting temperatures between Fahrenheit and Celsius and performing arithmetic operations on decimal numbers, including converting fractions to decimals, multiplication, division, and subtraction.
Step-by-step explanation:
The question involves the process of converting temperatures between different units and performing arithmetic operations with decimal numbers. To accomplish these tasks, we'll need to:
- Convert fractions to decimals.
- Multiply these decimal temperatures by 0.5.
- Divide the temperatures by 10.
- Subtract 0.5 from each temperature.
- Use the conversion formulas to switch between Fahrenheit and Celsius temperatures.
For example, converting a decrease of 40.0°F to Celsius involves knowing that the temperature change in Celsius is nine-fifths that of Fahrenheit. Therefore, we multiply the decrease by 5/9 to find the change in Celsius:
°C decrease = (°F decrease) × (5/9)
In this case:
°C decrease = (40.0°F) × (5/9) = 22.2°C
Be sure to check that the answer is reasonable and makes sense in the context of the problem.