# absolute value

## English

English Wikipedia has an article on:
Wikipedia

### Pronunciation

• (US) IPA(key): /ˈæb.səˌlut ˈvæl.ju/, /ˌæb.səˈljut ˈvæl.ju/

### Noun

absolute value (plural absolute values)

1. (mathematics) For a complex number ${\displaystyle a+bi}$, the principal square root of the sum of the squares of its real and imaginary parts, ${\displaystyle {\sqrt {a^{2}+b^{2}}}}$. Denoted by | |.
The absolute value |x| of a real number x is ${\displaystyle {\sqrt {x^{2}}}}$, which is equal to x if x is non-negative, and −x if x is negative.