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QUESTION IMAGE

convert 8.70°f to degrees celsius. round your answer to the correct num…

Question

convert 8.70°f to degrees celsius.
round your answer to the correct number of significant figures.
°c

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the value of $F$

Given $F = 8.70$, substitute it into the formula: $C=\frac{5}{9}(8.70 - 32)$.
First, calculate the value inside the parentheses: $8.70-32=-23.3$.
Then, multiply by $\frac{5}{9}$: $C=\frac{5}{9}\times(-23.3)$.
$C=\frac{-116.5}{9}\approx - 12.9444$.

Step3: Round to the correct number of significant figures

The input value $8.70$ has three significant figures. So, $C\approx - 12.9^{\circ}C$.

Answer:

$-12.9^{\circ}C$