# How to denote integer number(ℤ) symbol in LaTeX?

Mathematically, set of integer numbers are denoted by blackboard-bold() form of “Z”. And the letter “Z” comes from the German word Zahlen(numbers). Blackboard-bold is a style used to denote various mathematical symbols. For example natural numbers, real numbers, whole numbers, etc.

In latex, the \mathbb command is used to convert a latter to blackboard-bold form, and the latter is passed as an argument in the command.

And this \mathbb command is included in more than one package. For example

 amsfonts \mathbb{Z} → amssymb \mathbb{Z} → txfonts \mathbb{Z} → pxfonts \mathbb{Z} →
\documentclass{article}
\usepackage{amsfonts}
\begin{document}
$$\mathbb{Z}\subset\mathbb{Q}$$
$$\mathbb{Z}=\{\ldots,-2,-1,0,1,2,\ldots\}$$
\end{document}

Output :

Integer number sets are divided into different parts depending on the positive and negative and those parts are denoted by different symbols.

## Positive integer symbol

Positive integer symbols have been identified in different ways by different authors in different books. E.g. +, +, and >.

\documentclass{article}
\usepackage{amsfonts}
\begin{document}
$$\mathbb{Z}^{+}=\{1,2,3,\ldots\}$$
$$\mathbb{Z}_{+}=\{1,2,3,\ldots\}$$
$$\mathbb{Z}^{>}=\{1,2,3,\ldots\}$$
\end{document}

Output :

## Non-negative integer symbol

The second is the non-negative integer which includes all the positive numbers including zero. And which is denoted by 0+ and symbols.

\documentclass{article}
\usepackage{amsfonts}
\begin{document}
$$\mathbb{Z}^{0+}=\{0,1,2,3,\ldots\}$$
$$\mathbb{Z}^{\geq } =\{0,1,2,3,\ldots\}$$
\end{document}

Output :

## Non-zero integer symbol

And the third is the non-zero integer denoted by the and* symbols.

\documentclass{article}
\usepackage{amsfonts}
\begin{document}
$$\mathbb{Z}^{\neq}=\mathbb{Z}-\{0\}$$
$$\mathbb{Z}^{*} =\{\dots,-2,-1,1,2,\ldots\}$$
\end{document}

Output :

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