Question

convert 26.85°c into °f. (report answer with correct significant digits and no unit)

Explanation:

Step1: Recall the formula for converting Celsius to Fahrenheit

The formula to convert Celsius (\(^\circ\text{C}\)) to Fahrenheit (\(^\circ\text{F}\)) is \(^\circ\text{F}=\frac{9}{5}\times^\circ\text{C} + 32\).

Step2: Substitute the given value of Celsius into the formula

We are given \(^\circ\text{C} = 26.85\). Substitute this into the formula:
\(^\circ\text{F}=\frac{9}{5}\times26.85 + 32\)

First, calculate \(\frac{9}{5}\times26.85\). \(\frac{9}{5}=1.8\), so \(1.8\times26.85 = 48.33\).

Then, add 32 to this result: \(48.33+32 = 80.33\).

Now, consider significant digits. The given value \(26.85\) has four significant digits. The result of the conversion should be reported with four significant digits. The value we got is \(80.33\), which has four significant digits.

Answer:

80.33