Video: Converting between Degrees Celcius and Degrees Fahrenheit

The formula to convert from degrees Fahrenheit to degrees Celsius is given as 𝐹 = 1.8𝐶 + 32. Use the formula to convert 18 degrees Celsius to degrees Fahrenheit, giving your answer correct to one decimal place.

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Video Transcript

The formula to convert from degrees Fahrenheit to degrees Celsius is given as F equals 1.8C plus 32. Use the formula to convert 18 degrees Celsius to degrees Fahrenheit, giving your answer correct to one decimal place.

We’re given the formula 𝐹 equals 1.8𝐶 plus 32, where 𝐹 is degrees Fahrenheit and 𝐶 is degrees Celsius. We’re trying to convert 18 degrees Celsius, and that means we need to replace the 𝐶 variable with the 18 degrees Celsius. The degrees in Fahrenheit will be equal to 1.8 times 18 degrees Celsius plus 32.

The first thing we need to do is multiply 18 by 1.8. If we line them up vertically, eight times eight equals 64. Write down your four. Bring up your six. Eight times one equals eight plus six equals 14. Next, we’ll move on to the one. One times eight equals eight, and one times one equals one. Add these two values together. Four plus zero equals zero. Four plus eight equals 12.

Write down your two, carry your one. One plus one plus one equals three. There was one decimal place in the multiplication, so there’ll be one decimal place in the solution. 1.8 times 18 equals 32.4. Then, we bring down the plus 32. 32.4 plus 32 equals 64.4. This value is already given correct to one decimal place. And so, we can say that 18 degrees Celsius is equal to 64.4 degrees Fahrenheit.

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