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Chapter 9: Problem 50

Convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. Where appropriate, round to the nearest tenth of a degree. \(-31^{\circ} \mathrm{F}\)

Short Answer

Expert verified
The equivalent temperature on the Celsius scale is \(-34.4^{\circ}\)

Step by step solution

01

Understanding the Conversion Formula

The formula for converting Fahrenheit to Celsius is \(C = (F - 32) \times \frac{5}{9}\). Here, C represents the temperature in Celsius and F represents the temperature in Fahrenheit.
02

Substitute the Given Value in the Formula

The problem has given the Fahrenheit temperature as \(-31^{\circ}\). Substituting this value in the formula, we get \(C = (-31 - 32) \times \frac{5}{9}\).\n
03

Solve for C

Calculate the value inside the brackets first due to PEMDAS/BODMAS rule (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction). So, -31 - 32 equals -63. Multiply this by \(\frac{5}{9}\) to obtain a result of approx. -34.4.
04

Round to the Nearest Tenth

The solution requires the nearest tenth of a degree, so rounding -34.4 gives us \(C \approx -34.4^{\circ}\)

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