You haven't said whether the error is 1% in each dimension, or 1/2% in each dimension,
or whether the measurement is 1% too small, or whether it's 1% too big. In the arcane
jargon of mathematics, this question would be characterized as 'sloppy'.
-- If both the length and width are reported to be 1% shorter than they actually are,
then the area will be calculated as 1.99% too small.
-- If both the length and width are reported to be 1% longer than they actually are,
then the area will be calculated as 2.01% too large.
-- If one dimension is measured 1% too short and the other dimension is measured
1% too long, then the area will be calculated as 0.01% too small.
If you mean percent error of 3.14 versus pi, which is 3.14159..., the error is only 0.05%
Sometimes you will take the absolute value of the percent error because your estimated number could be less than the theoretical, meaning the calculation is negative. But an absolute value is always positive. A percent error can be left as a negative though, and this would be perfectly acceptable (or even preferred) depending on what you're doing.Answer:In the sciences, a negative percent error indicates a low result. If you have a 0% error, then your observed (lab) result was exactly the same as the theoretical result. A 5% error could mean that your observed result was a little high. A negative percent error is possible; if your observed results were lower than the expected, then you would have a negative percent error. A -5% error could mean that your results were a little low. Having a negative percent error isn't worse than positive percent error -- it could mean the same thing. If you were to have a choice in having a 20% error and a -5% error, the negative percent error is more accurate.
What is the formula for percent fractional error? (Physics)
Percent Error = {Absolute value (Experimental value - Theoretical Value) / Theoretical Value }*100
Percent error is used when you are comparing your result to a known or accepted value. It is the absolute value of the difference of the values divided by the accepted value, and written as a percentage. Percent error is equal to the difference divided by the known times 100 percent.
1
The error in its area is then 2 percent....
The percentage error in the area of the square will be twice the percentage error in the length of the square. This is because the error in the length affects both the length and width of the square, resulting in a compounded effect on the area. Therefore, if there is a 1 percent error in the length, the percentage error in the area would be 2 percent.
area= side^2 let the symbol # denote error in measurement #area/area= 2(#length/length) #area/area*100= 2(#length/length)*100 percent error in area= 2*percent error in length=2% 2 per cent
so why do you use breadth instead of width? Aren't they both same?
1% off
1% off
What is the percent error of a estimated measurement of 0.229 cm if the actual value is 0.225 cm?
Percent error.
The difference between low percent error and high percent error is one is low and the other is high
|76.48-76.49|÷76.49=0.013%
Even with the best measuring apparatus available,you can rarely get an absolutely exact measurement of anything. The readings you get will almost always be either a little bit larger or smaller than the precise length or pressure or whatever you are trying to measure. If you make a lot of measurements, the calculated average or mean of your measurements will come close to the exact measurement, but you still have to report the error or the range of variations in your measurements around the mean. This enables others to see how reliable your measurements are, particularly if they are being used in combination with other measurements, for example, using length and breadth to estimate an area of a rectangle.