You represent positive numbers by putting 3 balls into a box. You represent negative numbers by taking 3 balls out of a box, leaving it empty.
-3 is the additive inverse of 3. When you add -3 to 3, you get the additive identity 0 (0 is the additive identity because eg 4 + 0 = 4, similarly 1 is the multiplicative identity). That’s ultimately the “point” of negative numbers, to the extent they have one.
People usually like to try to represent them as a “thing” rather than an “action”, but why restrict things like that? Numbers or other mathematical objects usually aren’t very interesting unless they’re acting on something or being acted upon.
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