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Symbols · Notation and constants

|x| Absolute value

Say it: “the absolute value of x”, “mod x”

What it means

The size of a number without its sign, so |−3| = 3. For a complex number, its distance from zero; for a vector, its length.

Read aloud in real formulas

Algebra

|x − 2| < 1

Aethel says

the absolute value of x minus 2, is less than 1

x is within 1 of 2

Complex numbers

|z| = √(a² + b²)

Aethel says

the absolute value of z, equals the square root of the quantity a squared plus b squared

the modulus of a + bi

Typing it

LaTeX
|x|, \lvert x \rvert
Unicode
U+007C

Formulas that use it

Questions

How do you say |x| out loud?

It is usually read “the absolute value of x”, and also “mod x”.

What does |x| mean in maths?

The size of a number without its sign, so |−3| = 3. For a complex number, its distance from zero; for a vector, its length.

How do you type |x|?

In LaTeX, write |x|, \lvert x \rvert. Its Unicode code point is U+007C.

Related symbols

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