Is the comparison |12| > |−13| the same as 12 > −13?
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.
No, the comparison |12| > |−13| is not the same as 12 > −13.
The expression |12| represents the absolute value of 12, which is equal to 12.
Similarly, the expression |−13| represents the absolute value of -13, which is also equal to 13.
So, the comparison |12| > |−13| is equivalent to 12 > 13.
Therefore, the two comparisons are different as 12 is not greater than 13.