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Needs:
Rational Sums ›
Integer Additive Inverses ›
Needed by:
Integer Rational Homomorphism ›
Links:
Sheet PDF ›
Graph PDF ›

Rational Additive Inverses

Why

What is the additive inverse of $\eqc{(a, b)}$ in the rationals?

Result

The additive inverse of $\eqc{(a, b)} \in \Q $ is $\eqc{(-a, b)}$.

Notation

We denote the additive inverse of $q \in \Q $ by $-q$. We denote $a + (- b)$ by $a - b$.

Subtraction

We call the operation $(a, b) \mapsto a - b$ subtraction.

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