The Mathematical Symbol "Per Ten Thousand Sign (‱)"

The "Per Ten Thousand" Symbol (‱): Understanding Proportional Values

When it comes to representing fractional or proportional values, various symbols facilitate clarity and brevity. One such symbol is the ‱ - known as the "Per Ten Thousand Sign". Often overshadowed by its more common counterpart, the percentage sign (%), the per ten thousand sign has its unique applications, especially in fields requiring a finer granularity of measurement. Let's delve deeper into the uses and significance of ‱.

Essence of the ‱ Symbol

Just as the percentage sign represents parts per hundred, the ‱ symbol stands for parts per ten thousand. This allows for representation of values with a precision of up to four decimal places as whole numbers when using this notation.

Example 1: Financial Reports

In a country's financial report, a GDP growth of 0.0325 can be represented as 325‱. This provides a clear and easily readable figure, especially when comparing minor fluctuations year on year.

Example 2: Quality Control

In industries where ultra-precision is required, defects or deviations might be measured in parts per ten thousand. If a manufacturing process has a defect rate of 0.0012, it can be denoted as 12‱.

Advantages of Using ‱

While the per ten thousand notation might seem niche, it offers several benefits:

  • Precision: Enables representation of very small values without resorting to decimals.
  • Readability: Provides a more straightforward way for readers to comprehend values, especially in tables or charts where precision matters.
  • Standardization: Offers a consistent approach in industries or fields where such granular measurements are standard.

Though it's less common than the percentage sign, the ‱ symbol serves a crucial role in specific contexts, ensuring that data is presented as precisely and understandably as possible.

In summary, the ‱ symbol offers a window into the world of hyper-precision. By representing parts per ten thousand, it allows experts in various fields to communicate data with an added layer of granularity, making it an invaluable tool in the right context.

Mathematical symbol 'Per Ten Thousand Sign'

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Codes for the ‱ Symbol

The Symbol
Alt CodeAlt 8241
HTML Code‱
HTML Entity‱
CSS Code\2031
Hex Code‱

How To Insert the ‱ Symbol

(Method 1) Copy and paste the symbol.

The easiest way to get the ‱ symbol is to copy and paste it into your document.

Bear in mind that this is a UTF-8 encoded character. It must be encoded as UTF-8 at all stages (copying, replacing, editing, pasting), otherwise it will render as random characters or the dreaded �.

(Method 2) Use the "Alt Code."

If you have a keyboard with a numeric pad, you can use this method. Simply hold down the Alt key and type 8241. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)

(Method 3) Use the HTML Decimal Code (for webpages).

HTML TextOutput
<b>My symbol: &#8241;</b>My symbol: ‱

(Method 4) Use the HTML Entity Code (for webpages).

HTML TextOutput
<b>My symbol: &pertenk;</b>My symbol: ‱

(Method 5) Use the CSS Code (for webpages).

CSS and HTML TextOutput
span:after {
content: "\2031";}
<span>My symbol:</span>
My symbol: ‱

(Method 6) Use the HTML Hex Code (for webpages and HTML canvas).

HTML TextOutput
<b>My symbol: &#x2031;</b>My symbol: ‱
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x2031 to place the ‱ symbol on your canvas. For example:
JavaScript Text
const x = "0x"+"E9"
ctx.fillText(String.fromCodePoint(x), 5, 5);

(Method 7) Use the Unicode (for various, e.g. Microsoft Office, JavaScript, Perl).

The Unicode for ‱ is U+2031. The important part is the hexadecimal number after the U+, which is used in various formats. For example, in Microsoft Office applications (e.g. Word, PowerPoint), do the following:
[Hold down Alt]
[Press x]

(The 2031 turns into ‱. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u2031. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u2031"
document.write("My symbol: " + str)
My symbol: ‱