---
tag: 0VM8B2SB4P
kind: concept
name: Decimal expansion
aliases: [decimal-representation]
msc: [11A63]
sources:
  - url: https://en.wikipedia.org/wiki/Decimal_representation
    locator: lead section
same_as:
  wikidata: Q1376876
  wikipedia: Decimal representation
---

## Summary

A decimal expansion writes a nonnegative real number as an integer part and an infinite sequence of digits after the decimal point.
It represents the number as a sum of multiples of powers of $10$.
For example, $1/4 = 0.25000\dots$ and $1/3 = 0.333\dots$.