Convert 70 degrees Fahrenheit to Celsius using the following formula: degree Celsius=5/9 (degree Fahrenheit-32). Round your answer to the nearest degree
The correct Answer and Explanation is:
To convert 70 degrees Fahrenheit to Celsius using the formula:Degree Celsius=59×(Degree Fahrenheit−32)\text{Degree Celsius} = \frac{5}{9} \times (\text{Degree Fahrenheit} – 32)Degree Celsius=95×(Degree Fahrenheit−32)
Substituting 70 for Fahrenheit:Degree Celsius=59×(70−32)=59×38\text{Degree Celsius} = \frac{5}{9} \times (70 – 32) = \frac{5}{9} \times 38Degree Celsius=95×(70−32)=95×38
Now, multiply 38 by 59\frac{5}{9}95:Degree Celsius=5×389=1909≈21.11\text{Degree Celsius} = \frac{5 \times 38}{9} = \frac{190}{9} \approx 21.11Degree Celsius=95×38=9190≈21.11
Rounding to the nearest whole number:Degree Celsius≈21∘C\text{Degree Celsius} \approx 21^\circ \text{C}Degree Celsius≈21∘C
Explanation:
To convert temperatures from Fahrenheit to Celsius, the formula is:Celsius=59×(Fahrenheit−32)\text{Celsius} = \frac{5}{9} \times (\text{Fahrenheit} – 32)Celsius=95×(Fahrenheit−32)
This formula accounts for the difference in the two scales. Fahrenheit and Celsius scales have different zero points and increments per degree. The freezing point of water in Celsius is 0°C, while in Fahrenheit it is 32°F. The formula subtracts 32 from the Fahrenheit temperature to adjust for this difference.
The fraction 59\frac{5}{9}95 converts the remaining Fahrenheit degrees to Celsius. This is because each degree on the Celsius scale represents a larger temperature change than on the Fahrenheit scale. For example, 100 degrees Celsius corresponds to the boiling point of water, whereas in Fahrenheit, this is 212 degrees. The 59\frac{5}{9}95 factor adjusts the scale accordingly.
In this specific case, we converted 70°F, which is a mild temperature often considered room temperature. After subtracting 32 from 70, we were left with 38. By multiplying 38 by 59\frac{5}{9}95, we obtained approximately 21.11, which rounds to 21°C.
This demonstrates the process of adjusting Fahrenheit values to their Celsius equivalents using the formula and rounding for precision.