The formula to convert Celsius to Fahrenheit is
. Convert 62°F to Celsius. Round to the nearest degree. A. 17°C B. 47°C C. 2°C D. 80°C
The Correct Answer and Explanation is:
To convert Fahrenheit to Celsius, use the following formula:°C=59×(°F−32)°C = \frac{5}{9} \times (°F – 32)°C=95×(°F−32)
Step-by-Step Calculation:
Given:
°F = 62°C=59×(62−32)°C=59×30°C=1509°C≈16.67°C = \frac{5}{9} \times (62 – 32) \\ °C = \frac{5}{9} \times 30 \\ °C = \frac{150}{9} \\ °C \approx 16.67°C=95×(62−32)°C=95×30°C=9150°C≈16.67
Rounded to the nearest degree:°C≈17°C \approx 17°C≈17
Final Answer:
A. 17°C
Explanation
Understanding how to convert temperatures between Fahrenheit and Celsius is essential, especially in science, travel, and weather-related contexts. The Fahrenheit scale is commonly used in the United States, while the Celsius scale is the standard in most other countries and in scientific applications.
The formula to convert Fahrenheit to Celsius is:°C=59×(°F−32)°C = \frac{5}{9} \times (°F – 32)°C=95×(°F−32)
This formula works by first subtracting 32 from the Fahrenheit value. This step aligns both scales at the freezing point of water: 32°F equals 0°C. After subtracting 32, we multiply by the fraction 5/9 to account for the different sizes of the degrees in each scale. In Celsius, the difference between the freezing and boiling point of water is 100 degrees, whereas in Fahrenheit it is 180 degrees. That’s why we multiply by 5/9 (since 100/180 simplifies to 5/9).
For the given problem, we’re asked to convert 62°F to Celsius. Subtracting 32 from 62 gives us 30. Multiplying 30 by 5/9 gives approximately 16.67°C. When rounding to the nearest whole number, we get 17°C. Therefore, the correct answer is A. 17°C.
This type of conversion is common in everyday life, such as interpreting international weather forecasts or cooking instructions. Understanding the math behind it not only aids in practical application but also deepens one’s grasp of how measurement systems differ and relate.
