Formula:Rnd

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Documentation icon Documentatio formulae[considerabit] [recense] [historia]

Usage[fontem recensere]

This template rounds {{{1}}} to {{{2}}} decimal places (goes the other way for negatives) and includes trailing zeros. Scientific notation is used for numbers greater than or equal to 1×109, or less than 1×10−4.

Compare:

  • {{rnd|2.0004|3}} gives 2.000
    • whereas {{#expr:2.0004 round 3}} gives 2
  • {{rnd|0.000020004|7}} gives 2.00×10−5
  • {{rnd|0|8}} gives 0.00000000
  • {{rnd|154268|-3}} gives 154 000
  • {{rnd|1200004|-1}} → 1 200 000
  • {{rnd|1300004|-1}} → 1 300 000
  • {{rnd|4.1e6|9}} → 4 100 000.000000000
  • {{rnd|4.1e6|10}} → 4 100 000.0000000000
  • {{rnd|1542689271|-7}} → 1.54×109
  • {{rnd|1542689271|2}} → 1.542689271×109
  • {{rnd|7e9|-9}} → 7×109
  • {{rnd|-123|1}} → −123.0
  • {{rnd|-1200007|-2}} → −1 200 000
  • {{rnd|-1234567899|-7}} → −1.23×109

As with #expr, the total number of significant digits is not more than 14:

  • {{rnd|1234567890.123456789|10}} → 1.2345678901235×109
  • {{rnd|123456789.0123456789|10}} → 123 456 789.0123500000
  • {{rnd|.0001234567890123456789|20}} → 0.00012345678901235

Internal details[fontem recensere]

The template uses three subtemplates:

  • {{rnd/-}} — for trailing zeros
  • {{rnd/e+}} — for scientific notation for numbers greater than or equal to 109 or less than or equal to −109
  • {{rnd/e−}} — for scientific notation for numbers greater than −10−4 and less than 10−4 but not equal to zero

Related pages[fontem recensere]