You are here
Homeinverse number
Primary tabs
inverse number
The inverse number or reciprocal number of a nonzero real or complex number $a$ may be denoted by $a^{{1}}$, and it means the quotient $\frac{1}{a}$ (so, it is really the $1^{\mathrm{th}}$ power of $a$).

Two numbers are inverse numbers of each other if and only if their product is equal to 1 (cf. opposite inverses).

If $a$ ($\neq 0$) is given in a quotient form $\frac{b}{c}$, then its inverse number is simply
$\left(\frac{b}{c}\right)^{{1}}=\frac{c}{b}.$ 
Forming the inverse number is also a multiplicative function, i.e.
$(bc)^{{1}}=b^{{1}}c^{{1}}$ (to be more precise, it is an automorphism of the multiplicative group of $\mathbb{R}$ resp. $\mathbb{C}$).
Defines:
reciprocal number
Related:
ConditionOfOrthogonality, InverseFormingInProportionToGroupOperation
Synonym:
inverse, reciprocal
Type of Math Object:
Definition
Major Section:
Reference
Parent:
Groups audience:
Mathematics Subject Classification
12E99 no label found00A05 no label found Forums
 Planetary Bugs
 HS/Secondary
 University/Tertiary
 Graduate/Advanced
 Industry/Practice
 Research Topics
 LaTeX help
 Math Comptetitions
 Math History
 Math Humor
 PlanetMath Comments
 PlanetMath System Updates and News
 PlanetMath help
 PlanetMath.ORG
 Strategic Communications Development
 The Math Pub
 Testing messages (ignore)
 Other useful stuff
 Corrections