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Is the difference between nine and ten degrees in the Celsius and Fahrenheit temperature scales equivalent?

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Final answer:

The difference between nine and ten degrees in the Celsius scale is not the same as the difference in the Fahrenheit scale because one degree Celsius is equivalent to 1.8 degrees Fahrenheit.

Step-by-step explanation:

The question involves comparing the difference between degrees Celsius and degrees Fahrenheit. In the Celsius temperature scale, a difference of 9 degrees to 10 degrees is a single degree change. In the Fahrenheit temperature scale, a similar change of one degree is smaller than a degree on the Celsius scale. The conversion factor between the two scales is that a change of 1 degree Celsius is equivalent to a change of 1.8 degrees Fahrenheit, as derived from the ratio 180/100, which simplifies to 9/5. Therefore, a one degree difference in Celsius represents a larger temperature change compared to one degree difference in Fahrenheit.

To directly answer the question, the difference between nine and ten degrees in the Celsius scale is not equivalent to the difference between nine and ten degrees in the Fahrenheit scale. This is because one degree Celsius is equal to 1.8 degrees Fahrenheit. Therefore, the temperature change between 9°C and 10°C would be equivalent to 1.8°F change instead of just 1°F.

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