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The following problem illustrates a danger that occurs because of round-off error when nearly equal numbers are subtract

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The following problem illustrates a danger that occurs because of round-off error when nearly equal numbers are subtracted and the difference is then multiplied by a large number. Evaluate the quantity 1000 ? | | | | | | 6.010 18.04 2.004 6.000 | | | | | | in the following ways: (a) First round each entry in the determinant to two digits. (b) First round each entry in the determinant to three digits. (c) Retain all four digits. Compare this value with the results in parts (a) and (b).

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