Is the comparison |12| > |−13| the same as 12 > −13?
1 answer
Yes, the comparison |12| > |−13| is equivalent to the comparison 12 > -13. The absolute value of a number essentially removes the negative sign if present, so both expressions compare the magnitudes of the numbers without considering their signs. Since the magnitude of 12 is greater than the magnitude of -13, the comparison holds true.