Lesson
Notes
Practice Problems & Videos
Convert to Fahrenheit
\(\textbf{1)}\) Convert \( 10^{\circ}\, C \) to Fahrenheit The answer is \( 10\, C^{\circ}=50\, F^{\circ} \)
\(\textbf{2)}\) Convert \( 35^{\circ}\, C \) to Fahrenheit The answer is \( 35\, C^{\circ}=95\, F^{\circ} \)
\(\,\,\,\,\,\,F= \frac{9}{5}C+32\)
\(\,\,\,\,\,\,F= \frac{9}{5}(35)+32\)
\(\,\,\,\,\,\,F= 63+32\)
\(\,\,\,\,\,\,F= 95\)
\(\,\,\,\,\, 35\, C^{\circ}=95\, F^{\circ} \)
\(\,\,\,\,\,\,F= \frac{9}{5}C+32\)
\(\,\,\,\,\,\,F= \frac{9}{5}(35)+32\)
\(\,\,\,\,\,\,F= 63+32\)
\(\,\,\,\,\,\,F= 95\)
\(\,\,\,\,\, 35\, C^{\circ}=95\, F^{\circ} \)
\(\textbf{3)}\) Convert \( 0^{\circ}\, C \) to Fahrenheit The answer is \( 0\, C^{\circ}=32\, F^{\circ} \)
\(\,\,\,\,\,\,F= \frac{9}{5}C+32\)
\(\,\,\,\,\,\,F= \frac{9}{5}(0)+32\)
\(\,\,\,\,\,\,F= 0+32\)
\(\,\,\,\,\,\,F= 32\)
\(\,\,\,\,\,\, 0\, C^{\circ}=32\, F^{\circ} \)
\(\,\,\,\,\,\,F= \frac{9}{5}C+32\)
\(\,\,\,\,\,\,F= \frac{9}{5}(0)+32\)
\(\,\,\,\,\,\,F= 0+32\)
\(\,\,\,\,\,\,F= 32\)
\(\,\,\,\,\,\, 0\, C^{\circ}=32\, F^{\circ} \)
\(\textbf{4)}\) Convert \( 40^{\circ}\, C \) to Fahrenheit The answer is \( 40\, C^{\circ}=104\, F^{\circ} \)
\(\textbf{5)}\) Convert \( 86^{\circ}\, F \) to Celsius The answer is \( 86\, F^{\circ}=30\, C^{\circ} \)
\(\textbf{6)}\) Convert \( 41^{\circ}\, F \) to Celsius The answer is \( 41\, F^{\circ}=5\, C^{\circ} \)
\(\,\,\,\,\,\,C= \frac{5}{9}\left(F-32\right)\)
\(\,\,\,\,\,\,C= \frac{5}{9}\left((41)-32\right)\)
\(\,\,\,\,\,\,C= \frac{5}{9}\left(9\right)\)
\(\,\,\,\,\,\,C= 5\)
\(\,\,\,\,\,\,41\, F^{\circ}=5\, C^{\circ} \)
\(\,\,\,\,\,\,C= \frac{5}{9}\left(F-32\right)\)
\(\,\,\,\,\,\,C= \frac{5}{9}\left((41)-32\right)\)
\(\,\,\,\,\,\,C= \frac{5}{9}\left(9\right)\)
\(\,\,\,\,\,\,C= 5\)
\(\,\,\,\,\,\,41\, F^{\circ}=5\, C^{\circ} \)
\(\textbf{7)}\) Convert \( 23^{\circ}\, F \) to Celsius The answer is \( 23\, F^{\circ}=-5\, C^{\circ} \)
\(\,\,\,\,\,\,C= \frac{5}{9}\left(F-32\right)\)
\(\,\,\,\,\,\,C= \frac{5}{9}\left((23)-32\right)\)
\(\,\,\,\,\,\,C= \frac{5}{9}\left(-9\right)\)
\(\,\,\,\,\,\,C= -5\)
\(\,\,\,\,\,\,23\, F^{\circ}=-5\, C^{\circ} \)
\(\,\,\,\,\,\,C= \frac{5}{9}\left(F-32\right)\)
\(\,\,\,\,\,\,C= \frac{5}{9}\left((23)-32\right)\)
\(\,\,\,\,\,\,C= \frac{5}{9}\left(-9\right)\)
\(\,\,\,\,\,\,C= -5\)
\(\,\,\,\,\,\,23\, F^{\circ}=-5\, C^{\circ} \)
\(\textbf{8)}\) Convert \( 104^{\circ}\, F \) to Celsius The answer is \( 104\, F^{\circ}=40\, C^{\circ} \)
Challenge Problem
\(\textbf{9)}\) At what temperature is Celsius and Fahrenheit the same? The answer is \( -40\, F^{\circ}=-40\, C^{\circ} \)![Link to Youtube Video Solving Question Number 9](https://andymath.com/wp-content/uploads/2020/08/play-video.jpg")
See Related Pages\(\)
\(\bullet\text{ Isolating a Variable}\)
\(\,\,\,\,\,\,\,\, \text{Solve for }k. A=\frac{1}{2}h(b+k)…\)
In Summary
Fahrenheit and Celsius are two different scales used to measure temperature. The Fahrenheit scale is used primarily in the United States, while the Celsius scale is used in most other parts of the world.
To convert a temperature from Fahrenheit to Celsius, you can use the following formula:
\(C = \frac{5}{9}(F – 32)\)To convert a temperature from Celsius to Fahrenheit, you can use the following formula:
\(F = \frac{9}{5}C + 32\)These formulas can be used to easily and accurately convert temperatures between the Fahrenheit and Celsius scales. By understanding the differences between these two scales and how to convert between them, you can make more informed decisions and understand the behavior of temperature in different contexts.