### Theory:

Opposite numbers are two numbers whose distance from the origin of the coordinate axis (to zero) is the same but differ by a sign.

These numbers differ by a sign, with only one number to the right of zero (\(1\)) and the other to the left of zero (\(-1\)).

The opposite numbers for \(-2\) is \(2\); \(-3\) is \(3\); \(-4\) is \(4\) and so on.

The number opposite to zero is zero.

Do not confuse opposite numbers with inverse numbers.

The inverse of a number is called a fraction.

The inverse of $\frac{a}{b}$ is $\frac{b}{a}$.

Example:

The inverse of number $\frac{2}{3}$ is $\frac{3}{2}$.

$\mathit{The}\phantom{\rule{0.147em}{0ex}}\mathit{inverse}\phantom{\rule{0.147em}{0ex}}\mathit{part}\phantom{\rule{0.147em}{0ex}}\mathit{of}\phantom{\rule{0.147em}{0ex}}-\frac{31}{10}\phantom{\rule{0.147em}{0ex}}\mathit{is}\phantom{\rule{0.147em}{0ex}}-\frac{10}{31}$

To get an inverse number, swap the denominator of the part with the numerator, the

**sign remains**the same.