Two numbers have the same absolute value when they are equidistant from zero on the number line. In other words, the absolute value of a number is the distance of that number from zero, regardless of its sign. Therefore, any pair of numbers that have the same distance from zero will have the same absolute value. For example, both -5 and 5 have an absolute value of 5 since they are both 5 units away from zero in opposite directions.
Two numbers have the same absolute value when they have equal distance from zero on a number line. In other words, if you take the positive values of both numbers, they will be equal. Mathematically, two numbers, a and b, have the same absolute value when |a| = |b|.
