Questions: Air temperature on an extreme winter day is -65 °F.
Convert this temperature to °C. Be sure your answer has the correct number of significant figures.
Transcript text: Air temperature on an extreme winter day is -65 °F.
Convert this temperature to °C. Be sure your answer has the correct number of significant figures.
Solution
Solution Steps
Step 1: Identify the Formula
To convert a temperature from Fahrenheit (°F) to Celsius (°C), we use the formula:
°C=95(°F−32)
Step 2: Substitute the Given Value
Substitute the given temperature in Fahrenheit (-65 °F) into the formula:
°C=95(−65−32)
Step 3: Simplify the Expression
First, simplify the expression inside the parentheses:
−65−32=−97
Then, multiply by 95:
°C=95×(−97)
Step 4: Perform the Calculation
Calculate the multiplication:
°C=95×−97=9−485≈−53.8889
Step 5: Round to the Correct Number of Significant Figures
Since the original temperature (-65 °F) has two significant figures, the converted temperature should also have two significant figures:
°C≈−53.89