![]() | This template is used on 271,000+ pages. To avoid major disruption and server load, any changes should be tested in the template's /sandbox or /testcases subpages, or in your own user subpage. The tested changes can be added to this page in a single edit. Consider discussing changes on the talk page before implementing them. Preview message: Transclusion count updated automatically (see documentation). |
This template calculates the (decimal) order of magnitude of numbers within the ranges 10300 to 10−300 and −10−300 to −10300.
The acceptable input and the output produced are optimised for use in other templates.
{{Order of magnitude|123400}}
→ 5{{Order of magnitude|12340}}
→ 4{{Order of magnitude|1234}}
→ 3{{Order of magnitude|123.4}}
→ 2{{Order of magnitude|12.34}}
→ 1{{Order of magnitude|1.234}}
→ 0{{Order of magnitude|.1234}}
→ -1{{Order of magnitude|.01234}}
→ -2{{Order of magnitude|0}}
→ 0{{Order of magnitude}}
→ 0The input must be an unformatted number, or the template will emit errors:
{{Order of magnitude|}}
→ Expression error: Unexpected = operator{{Order of magnitude|123,400}}
→ Expression error: Unrecognised punctuation character ","{{Order of magnitude|foo}}
→ Expression error: Unrecognised word "foo"This template calculates the order of magnitude of a number, using the natural logarithm of the absolute value of the number, divided by the log of 10. The amount is adjusted for truncation error in the digital format, and the floor number of the results is used. The magnitude of fractions, such as 0+1/1000 (-3), will also be calculated. The code uses four expansion-depth levels.
TemplateData for Order of magnitude
This template calculates the order of magnitude of numbers within the ranges 10^300 to 10^−300 and −10^−300 to −10^300.
Parameter | Description | Type | Status | |
---|---|---|---|---|
Number | 1 | The number to find the order of magnitude of | Number | required |