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At what temperature will its value be the same in Celsius and in Fahrenheit? Explain the calculation?
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At what temperature will its value be the same in Celsius and in Fahre...
Temperature at which Celsius and Fahrenheit values are the same
To find the temperature at which the values of Celsius and Fahrenheit are the same, we can use the conversion formulas between Celsius and Fahrenheit.
Conversion formulas
1. To convert Celsius to Fahrenheit: F = (C × 9/5) + 32
2. To convert Fahrenheit to Celsius: C = (F - 32) × 5/9
Equating the values
To find the temperature at which the values are the same, we can set the two formulas equal to each other and solve for the temperature:
(C × 9/5) + 32 = F
C = (F - 32) × 5/9
Solving for the temperature
By substituting the second equation into the first equation, we get:
((F - 32) × 5/9) × 9/5 + 32 = F
(F - 32) + 32 = F
F - 32 + 32 = F
F = F
This means that the formula holds true for all temperatures, which implies that the temperature at which Celsius and Fahrenheit are the same is -40 degrees. At -40 degrees, both Celsius and Fahrenheit will have the same value of -40.
Therefore, the temperature at which the values of Celsius and Fahrenheit are the same is -40 degrees.
To find the temperature at which the values of Celsius and Fahrenheit are the same, we can use the conversion formulas between Celsius and Fahrenheit.
Conversion formulas
1. To convert Celsius to Fahrenheit: F = (C × 9/5) + 32
2. To convert Fahrenheit to Celsius: C = (F - 32) × 5/9
Equating the values
To find the temperature at which the values are the same, we can set the two formulas equal to each other and solve for the temperature:
(C × 9/5) + 32 = F
C = (F - 32) × 5/9
Solving for the temperature
By substituting the second equation into the first equation, we get:
((F - 32) × 5/9) × 9/5 + 32 = F
(F - 32) + 32 = F
F - 32 + 32 = F
F = F
This means that the formula holds true for all temperatures, which implies that the temperature at which Celsius and Fahrenheit are the same is -40 degrees. At -40 degrees, both Celsius and Fahrenheit will have the same value of -40.
Therefore, the temperature at which the values of Celsius and Fahrenheit are the same is -40 degrees.
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At what temperature will its value be the same in Celsius and in Fahrenheit? Explain the calculation?
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At what temperature will its value be the same in Celsius and in Fahrenheit? Explain the calculation? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about At what temperature will its value be the same in Celsius and in Fahrenheit? Explain the calculation? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At what temperature will its value be the same in Celsius and in Fahrenheit? Explain the calculation?.
At what temperature will its value be the same in Celsius and in Fahrenheit? Explain the calculation? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about At what temperature will its value be the same in Celsius and in Fahrenheit? Explain the calculation? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At what temperature will its value be the same in Celsius and in Fahrenheit? Explain the calculation?.
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