Question

convert 82.71°c to degrees fahrenheit. round your answer to the correct number of significant figures.

Explanation:

Step1: Use conversion formula

The formula to convert Celsius ($C$) to Fahrenheit ($F$) is $F=\frac{9}{5}C + 32$. Here $C = 82.71$.
So, $F=\frac{9}{5}\times82.71+32$.

Step2: Calculate $\frac{9}{5}\times82.71$

$\frac{9}{5}\times82.71 = 1.8\times82.71=148.878$.

Step3: Add 32

$F=148.878 + 32=180.878$.

Step4: Round to significant - figures

The input $82.71$ has four significant figures. Rounding $180.878$ to four significant figures gives $180.9$.

Answer:

$180.9^{\circ}F$