Question

convert 68.5°f to degrees celsius. round your answer to the correct number of significant figures.

Explanation:

Step1: Write the conversion formula

The formula to convert Fahrenheit ($F$) to Celsius ($C$) is $C=\frac{5}{9}(F - 32)$.

Step2: Substitute the given value

Substitute $F = 68.5$ into the formula: $C=\frac{5}{9}(68.5 - 32)$.
First, calculate the value inside the parentheses: $68.5-32 = 36.5$.
Then, multiply by $\frac{5}{9}$: $C=\frac{5\times36.5}{9}=\frac{182.5}{9}\approx20.2778$.

Step3: Round to significant - figures

The input value $68.5$ has three significant figures. So, rounding $20.2778$ to three significant figures gives $20.3$.

Answer:

$20.3$