In this example, we should not report all the digits fromthe final calculation. By including...

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In this example, we should not report all the digits fromthe final calculation. By including all the numbers weimply that we were able to measure the dimensions withgreater precision than actually possible with a standardinch ruler. We should round and report the diagonalcalculation with two significant figures since the lengthand width values were given with two significant figures.If we round off in the middle of our calculation and squareroot 190, we will be removing valuable information thatwould otherwise provide a more accurate diagonal value.By rounding down midway we end up with a value that isless than the true diagonal value. You could argue that weare going to report our final answer with two significantfigures anyway and end up at the same number, but it is abad habit that can lead to unreliable data in othersituations.

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