Editing Additive inverse (section)

== Common examples ==
When working with [[integer]]s, [[rational number]]s, [[real number]]s, and [[complex number]]s, the additive inverse of any number can be found by multiplying it by [[−1]].<ref name=":0" />[[Image:NegativeI2Root.svg|thumb|right|These complex numbers, two of eight values of [[root of unity|{{radic|1|8}}]], are mutually opposite]]
{| class="wikitable"
|+ Simple cases of additive inverses
! <math>n</math>
! <math>-n</math>
|-
| <math>7</math>
| <math>-7</math>
|-
| <math>0.35</math>
| <math>-0.35</math>
|-
| <math>\frac{1}{4}</math>
| <math>-\frac{1}{4}</math>
|-
| <math>\pi</math>
| <math>-\pi</math>
|-
| <math>1 + 2i</math> 
| <math>-1 - 2i</math>
|}

The concept can also be extended to algebraic expressions, which is often used when balancing [[equation]]s.
{| class="wikitable"
|+ Additive inverses of algebraic expressions
! <math>n</math>
! <math>-n</math>
|-
| <math>a - b</math>
| <math>-(a - b) = -a + b</math>
|-
| <math>2x^2 + 5</math>
| <math>-(2x^2 + 5) = -2x^2 - 5</math> 
|-
| <math>\frac{1}{x + 2}</math>
| <math>-\frac{1}{x+2}</math>
|-
| <math>\sqrt{2}\sin{\theta} - \sqrt{3}\cos{2\theta}</math>
|<math>-(\sqrt{2}\sin{\theta} - \sqrt{3}\cos{2\theta}) = -\sqrt{2}\sin{\theta} + \sqrt{3}\cos{2\theta}</math>
|}