The answer to question 27 here: http://www.allaboutcircuits.com/worksheets/dc_s.html on the first row of the table (for measurement V1-8 = 6V) has OPEN for all the resistors except R4, which is SHORT. If you're measuring the voltage drop from 1-8 in this circuit, I don't see why you couldn't get the same result if all the resistors had failed short instead of open. When you test V1-8, isn't that just the same as measuring across the battery terminals?
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