Template:Significant figures
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This template has two different functions dependent on input.
- If only one parameter is given the template counts the number of significant figures of the given number within the ranges 1012 to 10−12 and −10−12 to −1012. It ignores any digits outside this range.
- If two parameters are given the template rounds the first number to the number of significant figures given by the second. If the given number has 10 or more digits, the result is returned in scientific notation.
Examples
Two parameters
{{significant figures|123.456|7}}→ 123.4560{{significant figures|123.456|6}}→ 123.456{{significant figures|123.456|5}}→ 123.46{{significant figures|123.456|4}}→ 123.5
{{significant figures|123,456|3}}→ 123,000{{significant figures|12345.6|3}}→ 12,300{{significant figures|1234.56|3}}→ 1,230{{significant figures|12.3456|3}}→ 12.3{{significant figures|1.23456|3}}→ 1.23
{{significant figures|.123456|3}}→ 0.123{{significant figures|.0123456|3}}→ 0.0123{{significant figures|.00123456|3}}→ 0.00123{{significant figures|0.123456|3}}→ 0.123{{significant figures|0.0123456|3}}→ 0.0123{{significant figures|0.00123456|3}}→ 0.00123
{{significant figures|123.456|2}}→ 120{{significant figures|123.456|1}}→ 100{{significant figures|123.456|0}}→ 0
{{significant figures|987654321|9}}→ 987,654,321{{significant figures|987654321|8}}→ 987,654,320{{significant figures|987654321|7}}→ 987,654,300{{significant figures|987654321|6}}→ 987,654,000{{significant figures|987654321|5}}→ 987,650,000{{significant figures|987654321|4}}→ 987,700,000{{significant figures|987654321|3}}→ 988,000,000{{significant figures|987654321|2}}→ 990,000,000{{significant figures|987654321|1}}→ 1,000,000,000
{{significant figures|9876543210|3}}→ 9.88×109{{significant figures|98765432100|3}}→ 9.88×1010{{significant figures|987654321000|3}}→ 9.88×1011{{significant figures|9876543210000|3}}→ 9.88×1012
One parameter
{{significant figures|123400}}→ 4{{significant figures|12340}}→ 4{{significant figures|1234}}→ 4{{significant figures|123.4}}→ 4{{significant figures|12.34}}→ 4{{significant figures|1.234}}→ 4
{{significant figures|0.1234}}→ 4{{significant figures|0.01234}}→ 4{{significant figures|0.001234}}→ 4{{significant figures|.1234}}→ 4{{significant figures|.01234}}→ 4{{significant figures|.001234}}→ 4
{{significant figures|-123.4}}→ 4{{significant figures|-12.34}}→ 4{{significant figures|-1.234}}→ 4
Supporting templates and modules
- {{Significant figures/rnd}}, which uses {{Rnd}}, which uses {{#invoke:Math|precision_format}}
- {{Significant figures/sum}}, which uses {{Precision}}, which uses {{#invoke:Math|precision}}
- {{Order of magnitude}}