To be able to determine the unknown range of the number with tolerance given, first we need to determine the 4% of 500. This can be done by multiplying 500 by the decimal equivalent of 4% which is equal to 0.04.
tolerance = (500) x (0.04) = 20
Lower limit: The lower limit is determined by subtracting 20 from 500.
Lower limit = 500 - 20 = 480
Upper limit: The upper limit is determined by adding 20 to the base value 500.
Upper limit = 500 + 20 = 520
The values, therefore, rang from 480 to 500.
ANSWER: 480 - 520