Aamc 11 #20 ps

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bmw e90

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In the question stem, it says the area is 5cm^2. In the answer key, they converted that into m^2 by saying it was 5*10^-2 square meters. But shouldnt the conversion be 5*10^-4 sqaure meters? because you have to square the conversion factor.
 
Also, for this question, is deltaL/L = .01?

edit: Might be a weird question, but why is it .01?
 
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Im confused on here everytime i do the calculation and the same way they layed it out i get 10^4?
 
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