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Relative error percentage is a decimal percentage between 1 and 0 such that if you multiply the actual answer by (1-errorrel) you get your approximate value. In other words relative error is an indicator of how far away your apporximation is from the real value in terms of percent of the real value.
It means that, relative to the true value of whatever you are trying to measure, the estimated (or calculated) value is quite a long way off.If the real value of something is 5 but is measure as 7 the absolute error is 7 - 5 = 2, but the percentage error is 100*2/5 = 40%If the true value is 100 and it is measured as 103, the absolute error is 103 - 100 = 3 which is greater than before. But the percentage error is only 100*3/100 = 3%.
In a numerical analysis sense, it means you've made a mistake/forgotten to take the modulus, as the formula for error calculation involves taking modulus values:Erel= |x-x*| / |x|, where x is the proper value, and x* an approximate value.Percentage error is just the relative error (formula above) x100, so really if you calculate it correctly, its actually impossible to get a negative percentage error.That aside, the only thing a negative error means, besides making a mistake, is that your approximation is larger/smaller than the real value, depending on which one you take away from, as it doesn't matter if you do x-x* or x*-x due to the modulus. The only thing that matters about any error value, is the size/number, which indicates by how much your approximation differs from the real value.
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Time and Distance are relative dimensions.