A 51°F to Celsius b. -70°F to Celsius c. 55°C to Fahrenheit a. 51°F = °C (Type an integer or decimal rounded to the nearest tenth as needed.)
The Correct Answer and Explanation is:
Answers:
a. 51°F = 10.6°C
b. -70°F = -56.7°C
c. 55°C = 131°F
Explanation
Temperature conversions between Fahrenheit (°F) and Celsius (°C) use specific formulas because the two scales are based on different zero points and intervals. Here are the key formulas:
- To convert from Fahrenheit to Celsius: °C=(°F−32)×59°C = (°F – 32) \times \frac{5}{9}°C=(°F−32)×95
- To convert from Celsius to Fahrenheit: °F=(°C×95)+32°F = (°C \times \frac{9}{5}) + 32°F=(°C×59)+32
Let’s apply these formulas to the given values:
a. 51°F to °C°C=(51−32)×59=19×59=959≈10.6°C°C = (51 – 32) \times \frac{5}{9} = 19 \times \frac{5}{9} = \frac{95}{9} ≈ 10.6°C°C=(51−32)×95=19×95=995≈10.6°C
b. -70°F to °C°C=(−70−32)×59=(−102)×59=−5109≈−56.7°C°C = (-70 – 32) \times \frac{5}{9} = (-102) \times \frac{5}{9} = \frac{-510}{9} ≈ -56.7°C°C=(−70−32)×95=(−102)×95=9−510≈−56.7°C
This is extremely cold and far below freezing. Such temperatures are found in polar regions or during extreme weather conditions.
c. 55°C to °F°F=(55×95)+32=99+32=131°F°F = (55 \times \frac{9}{5}) + 32 = 99 + 32 = 131°F°F=(55×59)+32=99+32=131°F
This is a very high temperature, typically found in hot desert climates or extreme heat events.
Understanding temperature conversion is essential for science, travel, and daily life—especially in countries where one scale is more commonly used than the other (e.g., Celsius in most of the world vs. Fahrenheit in the U.S.). Whether reading a weather report, cooking, or analyzing climate data, accurate conversion ensures proper understanding and response.
