Short Answer
To convert temperatures from Fahrenheit to Celsius, use the formula C = (F − 32) * 5/9. A decrease of 40°F corresponds to approximately a 4.44°C drop, and the relationship between changes in Fahrenheit and Celsius can be expressed as ΔC = (ΔF) * 5/9.
Step 1: Understanding the Conversion Formula
To convert temperatures from Fahrenheit (°F) to Celsius (°C), we use the formula: C = (F − 32) * 5/9. This formula provides a systematic approach for calculating the temperature in Celsius based on a given Fahrenheit value. Ensure you clearly identify the Fahrenheit figure that you want to convert.
Step 2: Calculating a Decrease in Temperature
When figuring out how a temperature decrease affects Celsius, start by applying the conversion formula. For example, to find out how a 40¬∞F decrease translates to Celsius, plug in the values: C = (40 – 32) * 5/9. This simplifies to C = 4.44¬∞C, indicating that a drop of 40¬∞F corresponds to a decrease of about 4.44¬∞C.
Step 3: Understanding the Relationship Between Degrees
It’s essential to know the relationship between changes in Fahrenheit and Celsius. The general rule is that any change in Fahrenheit degrees is nine-fifths the change in Celsius degrees. This can be expressed using the formula: ŒîC = (ŒîF) * 5/9, leading to the rearranged form ŒîF = ŒîC * 9/5, which outlines how temperature changes relate between the two scales.