Question

convert 57°f to degrees celsius. round your answer to the correct number of significant figures.

Explanation:

Step1: Use conversion formula

The formula to convert Fahrenheit ($F$) to Celsius ($C$) is $C=\frac{5}{9}(F - 32)$. Given $F = 57$, we substitute it into the formula: $C=\frac{5}{9}(57 - 32)$.

Step2: Calculate the value inside parentheses

First, calculate $57-32 = 25$. So the formula becomes $C=\frac{5}{9}\times25$.

Step3: Perform the multiplication

$C=\frac{125}{9}\approx13.888\cdots$.

Step4: Round to significant figures

Since 57 has two - significant figures, we round our answer to two - significant figures. Rounding $13.888\cdots$ to two - significant figures gives $14$.

Answer:

$14$