SUMMARY
The temperature at which the Celsius and Fahrenheit scales agree is -40 degrees. This conclusion is derived from the equations TF = TC * (9/5) + 32 and TC = (TF - 32) * (5/9). By setting TF equal to TC and solving the equation, the result confirms that both scales intersect at -40°C. The discussion also highlights a common error in the second equation provided.
PREREQUISITES
- Understanding of temperature conversion formulas
- Familiarity with algebraic manipulation
- Basic knowledge of Celsius and Fahrenheit scales
- Awareness of the Kelvin scale for context
NEXT STEPS
- Study temperature conversion formulas in detail
- Practice solving algebraic equations involving temperature
- Explore the historical context of temperature scales
- Learn about the Kelvin scale and its applications in science
USEFUL FOR
Students studying physics or mathematics, educators teaching temperature conversions, and anyone interested in understanding the relationship between different temperature scales.