[C = Celsius F = Fahrenheit]
Alan found 45°F = -7°C, his work:
So he distributed 5/9 into (45 - 32), but he only distributed it to 45. It would've been:
What error did Alan make?
#1: He substituted 45 for F instead of –7 and should have found the answer to be Negative 21 and two-thirds degrees Celsius.
This is wrong because he used 45 degrees Fahrenheit, not -7 degrees Fahrenheit.
#2: He did not combine within the parentheses first before multiplying and should have found the answer to be 7 and StartFraction 2 over 9 EndFraction degrees Celsius.
This is right because he should've combined inside the parentheses first before multiplying the fraction.
#3: He multiplied 45 by the fraction incorrectly and should have found the answer to be 49 degrees Celsius.
This is wrong because 45 multiplied by the fraction does = 25
#4: He divided 5F by 9 before subtracting 32 and should have found the answer to be 21 and StartFraction 4 over 9 EndFraction degrees Celsius.
This is wrong because he didn't do this