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What is the Inverse of 0?

Published in Mathematics 1 min read

The additive inverse of 0 is 0.

Here's why:

  • Additive Inverse Definition: The additive inverse of a number is the value that, when added to the original number, results in zero. Mathematically, for any number a, its additive inverse is -a, such that a + (-a) = 0.

  • Applying to Zero: In the case of 0, we are looking for a number that, when added to 0, equals 0. Since 0 + 0 = 0, the additive inverse of 0 is indeed 0.

In simpler terms, because adding 0 to itself results in 0, it serves as its own additive inverse.