Work each problem. Round to the nearest tenth of a degree if necessary. Temperature of VenusVenus is the hottest planet, with a surface temperature of 867°F. What is this temperature in degrees Celsius? (Data from The World Almanac and Book of Facts.)

Verified step by step guidance

1. Identify the formula to convert Fahrenheit to Celsius: \(C = \frac{5}{9} (F - 32)\), where \(F\) is the temperature in Fahrenheit and \(C\) is the temperature in Celsius.
2. Substitute the given temperature of Venus, which is 867°F, into the formula: \(C = \frac{5}{9} (867 - 32)\).
3. Calculate the difference inside the parentheses: \$867 - 32$.
4. Multiply the result by \(\frac{5}{9}\) to find the temperature in Celsius.
5. Round the final answer to the nearest tenth of a degree as requested.

Key Concepts

Temperature Conversion Formula

Converting temperatures between Fahrenheit and Celsius requires using the formula C = (F - 32) × 5/9. This formula adjusts for the different starting points and scales of the two temperature units, allowing accurate conversion.

Order of Operations in Calculations

When performing the conversion, it is important to follow the correct order of operations: first subtract 32 from the Fahrenheit temperature, then multiply by 5/9. This ensures the calculation is accurate and consistent.

Rounding to the Nearest Tenth

After calculating the Celsius temperature, round the result to the nearest tenth (one decimal place). This involves looking at the hundredths place to decide whether to round up or down, providing a precise yet manageable answer.