The definition of additive inverse of a number is a number that is added to the original and gives zero. For example, the additive inverse of 9 is -9.

Learn how to solve problems involving the additive inverse, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.

Master the additive inverse in this informative video lesson. Understand the balance of numbers and see examples, followed by an optional quiz for practice.

Feb 17, 2017 · The additive inverse of a polynomial f (x,y) is a polynomial that makes zero when it added to polynomial f (x,y). So additive inverse of polynomial f (x,y) will be -f (x,y).

Find out what inverse operations are and the different properties for inverse operations. See examples of how to solve problems using inverse...

Mar 4, 2025 · An example to better understand additive inverses is finding the difference between positive and negative numbers. For instance, if you take 5 (a positive number) and subtract −2, this is …

Sep 15, 2017 · The proof of (i) (i) looks nice. For (ii) (i i) not quite: You are asked to find what is the additive inverse of f f, or equivalently what is −f f. Your answer looks like " −f = −f f = f ", which is a …

Jan 27, 2019 · The element y y is called the additive inverse of z z. I became confused, first because in Z5 Z 5 0 0 does not have an additive inverse in this set (namely 5 5 is missing). So I wasn't sure if I …

Oct 10, 2023 · That's an equation for additive identity, not additive inverse. And then you need a previous result or proof that if z + a = a z + a = a, then z = 0 z = 0.

Oct 25, 2023 · The additive inverse of a number is the value that, when added to the original number, gives a sum of zero. In other words, the additive inverse undoes the effect of the original number.