High School Calculator automatic rounding is screwing up my calculation.

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SUMMARY

The discussion centers on the issue of automatic rounding in calculators affecting precision in calculations. Specifically, the user highlights discrepancies in results when dividing 13.6 by values close to 1, such as 1.000000001 and 1.0000000001. The calculator displays 13.59999999 for the former and rounds the latter to 13.6, despite the actual result being approximately 13.59999999864. This indicates that calculators often have a finite precision for displaying digits, leading to potential misunderstandings in numerical accuracy.

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Lebombo
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Hi,

When I type into my calculator 13.6/(1.000000001)
the calculator returns the answer 13.59999999

Then, when I type 13.6/(1.0000000001)
the calculator returns the answer 13.6.

Obviously, both 13.6/(1.0000000001) and 13.6/1 cannot equal 13.6,

so what's the deal with the calculator returning the wrong answer?
 
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The calculator has a finite precision for displaying digits, it rounds 13.6/(1.0000000001) = 13.59999999864 (approximately) to 13.6. Try subtracting 13.6 from the result, often calculators have internally one or two more digits than they show.
 
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