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ShawnBrains
ShawnBrains
02.10.2019 • 
Mathematics

To demonstrate that the rules for significant figure propagation in multiplication do provide an estimate of the uncertainty in the answer, consider a block with rectangular sides whose dimensions have been measured with a millimeter ruler. height: 254.7 mm width: 136.8 mm depth: 25.3 mm (a) determine the volume of the block in cubic millimeters. report your answer to as many digits as your calculator displays. (b) determine the volume of the block if you assume that each of the foregoing measurements is actually 0.1 mm too low (c) with which digit do the answers to parts (a) and (b) begin to differ? if you report the volume using all of the digits that are the same in parts (a) and (b) plus one more digit where the two values do not agree, how many digits should you report? (d) how many digits would you report according to the rules for significant figures? is this the same as in part (c)?

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