Fahrenheit and Celsius Conversions

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Lesson

Notes

Notes for Celsius to Fahrenheit

Notes for Fahrenheit to Celsius

Practice Problems & Videos

Convert to Fahrenheit

\(\textbf{1)}\) Convert \( 10^{\circ}\, C \) to Fahrenheit
Show Answer in Fahrenheit
The answer is \( 10\, C^{\circ}=50\, F^{\circ} \)

\(\textbf{2)}\) Convert \( 35^{\circ}\, C \) to Fahrenheit
Show Answer in Fahrenheit
The answer is \( 35\, C^{\circ}=95\, F^{\circ} \)
Show Work

\(\,\,\,\,\,\,F= \frac{9}{5}C+32\)

\(\,\,\,\,\,\,F= \frac{9}{5}(35)+32\)

\(\,\,\,\,\,\,F= 63+32\)

\(\,\,\,\,\,\,F= 95\)

\(\,\,\,\,\, 35\, C^{\circ}=95\, F^{\circ} \)

\(\textbf{3)}\) Convert \( 0^{\circ}\, C \) to Fahrenheit
Show Answer in Fahrenheit
The answer is \( 0\, C^{\circ}=32\, F^{\circ} \)
Show Work

\(\,\,\,\,\,\,F= \frac{9}{5}C+32\)

\(\,\,\,\,\,\,F= \frac{9}{5}(0)+32\)

\(\,\,\,\,\,\,F= 0+32\)

\(\,\,\,\,\,\,F= 32\)

\(\,\,\,\,\,\, 0\, C^{\circ}=32\, F^{\circ} \)

\(\textbf{4)}\) Convert \( 40^{\circ}\, C \) to Fahrenheit
Show Answer in Fahrenheit
The answer is \( 40\, C^{\circ}=104\, F^{\circ} \)

\(\textbf{5)}\) Convert \( 86^{\circ}\, F \) to Celsius
Show Answer in Celsius
The answer is \( 86\, F^{\circ}=30\, C^{\circ} \)

\(\textbf{6)}\) Convert \( 41^{\circ}\, F \) to Celsius
Show Answer in Celsius
The answer is \( 41\, F^{\circ}=5\, C^{\circ} \)
Show Work

\(\,\,\,\,\,\,C= \frac{5}{9}\left(F-32\right)\)

\(\,\,\,\,\,\,C= \frac{5}{9}\left((41)-32\right)\)

\(\,\,\,\,\,\,C= \frac{5}{9}\left(9\right)\)

\(\,\,\,\,\,\,C= 5\)

\(\,\,\,\,\,\,41\, F^{\circ}=5\, C^{\circ} \)

\(\textbf{7)}\) Convert \( 23^{\circ}\, F \) to Celsius
Show Answer in Celsius
The answer is \( 23\, F^{\circ}=-5\, C^{\circ} \)
Show Work

\(\,\,\,\,\,\,C= \frac{5}{9}\left(F-32\right)\)

\(\,\,\,\,\,\,C= \frac{5}{9}\left((23)-32\right)\)

\(\,\,\,\,\,\,C= \frac{5}{9}\left(-9\right)\)

\(\,\,\,\,\,\,C= -5\)

\(\,\,\,\,\,\,23\, F^{\circ}=-5\, C^{\circ} \)

\(\textbf{8)}\) Convert \( 104^{\circ}\, F \) to Celsius
Show Answer in Celsius
The answer is \( 104\, F^{\circ}=40\, C^{\circ} \)

Challenge Problem

\(\textbf{9)}\) At what temperature is Celsius and Fahrenheit the same?
Show Answer
The answer is \( -40\, F^{\circ}=-40\, C^{\circ} \)

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.

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