The formula to convert Fahrenheit to Celsius is ( F – 32 ) x 5/9 convert 13 Fahrenheit to Celsius round your answer to 1 decimal place
The correct answer and explanation is:
To convert 13°F to Celsius, we use the formula: Celsius=(F−32)×59\text{Celsius} = (F – 32) \times \frac{5}{9}
Step-by-step Calculation:
Celsius=(13−32)×59\text{Celsius} = (13 – 32) \times \frac{5}{9} =(−19)×59= (-19) \times \frac{5}{9} =−95÷9= -95 \div 9 ≈−10.555…\approx -10.555\ldots
Rounded to 1 decimal place, the answer is: −10.6∘C\boxed{-10.6^\circ C}
Explanation (Approx. 300 Words):
Understanding temperature conversions is essential in many fields, especially healthcare, science, cooking, and meteorology. The Fahrenheit (°F) and Celsius (°C) scales are two of the most commonly used temperature measurement systems. The Celsius scale, used in most countries, is based on the freezing point of water at 0°C and the boiling point at 100°C. The Fahrenheit scale, more commonly used in the United States, places the freezing point of water at 32°F and the boiling point at 212°F.
To convert from Fahrenheit to Celsius, we subtract 32 from the Fahrenheit value to account for the different zero points between the two scales. We then multiply the result by 5/9, which adjusts the scale difference. This factor arises because there are 180 degrees between the freezing and boiling points of water in Fahrenheit (212 – 32 = 180) and 100 degrees in Celsius (100 – 0 = 100), so: 100180=59\frac{100}{180} = \frac{5}{9}
In our problem, we are asked to convert 13°F to Celsius. Subtracting 32 from 13 gives us -19. Multiplying -19 by 5/9 gives us approximately -10.555…. When we round this number to one decimal place, we get -10.6°C.
This conversion is especially useful in nursing and medicine, where body temperatures may be recorded in either scale depending on the equipment used. Precise conversion ensures proper diagnosis and treatment. For example, confusing Fahrenheit and Celsius could result in mistaking a normal body temperature for a fever or hypothermia. Hence, understanding how to accurately convert temperatures and round them appropriately is a vital skill in healthcare and scientific contexts.