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first you must find the precision. that is the smallest possible unit of the smallest measurement. in this case the smallest measurement is 5/10ths. the smallest possible unit is 1/10. so 1/10 is the precision. to find the greatest possible error you have to multiply the precision (1/10) by 1/2. and you get 1/20. the greatest possible error is 1/20.

another example: find the greatest possible error of both 6 and 3.214. for 6 the smallest unit would be 1 because you can go lower than one without going to the next unit down. so we then take one and multiply it by 1/2. one half is also 0.5. 1 multiplied by 1/2 is 1/2, therefore, the greatest possible error of 6 is 1/2 or 0.5. for the next number take the smallest unit of 214/1000, which is what .214 is. the smallest measurement would be 1/1000. that is our precision. the greatest possible error is one half (1/2) of the precision, or, 1/1000 x 1/2, which equals 1/2000. the greatest possible error of 3.214 is 1/2000.

it's kind of confusing. i hope this helped. first it helps to understand the precision. then from there the gpe is half of the precision.

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Q: What is the greatest possible error of 3.5 cm?
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