What is the range of values for the measurement 500±4%

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