Definition:Decimal Expansion/Decimal Point

(Redirected from Definition:Decimal Point)

Definition

Let $x \in \R$ have a decimal expansion:

$n. d_1 d_2 d_3 \ldots$

The dot that separates the integer part from the fractional part of $x$ is called the decimal point.

That is, it is the radix point when used specifically for a base $10$ representation.

Also denoted as

The usage of the decimal point varies between the various cultures.

The American system is to use a dot placed on the line:

$12.345$

The British system is to place the dot centrally:

$12 \cdotp 345$

The European system is to use a comma:

$12, \! 345$

Consequently the thousands separator for European numbers is either a dot:

$12.345, \! 678$

or a space:

$12 \, 345, \! 678$

In $\mathsf{Pr} \infty \mathsf{fWiki}$ the British and American systems can be found for the decimal point, while the European usage of the space is generally used for the thousands separator.
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9558928608894348, "perplexity": 1330.409160098413}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-26/segments/1560627999261.43/warc/CC-MAIN-20190620145650-20190620171650-00085.warc.gz"}