212 degrees Celsius to Fahrenheit
Understand the Problem
The question is asking how to convert a temperature given in degrees Celsius (212 degrees) to Fahrenheit. The conversion formula needs to be applied to find the equivalent temperature in Fahrenheit.
Answer
The temperature in Fahrenheit is \( 413.6 \) degrees.
Answer for screen readers
The temperature in Fahrenheit is ( 413.6 ) degrees.
Steps to Solve
- Identify the Conversion Formula
To convert from degrees Celsius to degrees Fahrenheit, use the formula:
$$ F = \frac{9}{5}C + 32 $$
where ( F ) is the temperature in Fahrenheit and ( C ) is the temperature in Celsius.
- Substitute the Celsius Value
Substitute ( C = 212 ) into the formula:
$$ F = \frac{9}{5}(212) + 32 $$
- Calculate the Multiplication
First, calculate ( \frac{9}{5} \times 212 ):
$$ \frac{9}{5} \times 212 = \frac{9 \times 212}{5} = \frac{1908}{5} = 381.6 $$
- Add 32 to the Result
Now, add 32 to the result from the previous step:
$$ F = 381.6 + 32 = 413.6 $$
The temperature in Fahrenheit is ( 413.6 ) degrees.
More Information
This conversion shows that boiling water at ( 212 ) degrees Celsius corresponds to ( 413.6 ) degrees Fahrenheit. The formula demonstrates the linear relationship between Celsius and Fahrenheit scales.
Tips
- Forgetting to add 32 after calculating ( \frac{9}{5}C ).
- Miscalculating the multiplication or the addition step. Reviewing each operation step-by-step helps avoid this.
