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Homework Help: What does it mean by the approximate to four decimal place accuracy?

  1. Mar 26, 2012 #1
    【what] does it mean by the term" approximate to four decimal place accuracy"

    hey

    I have a question. What does it mean by the term " approximate to four decimal place accuracy". For instance, I want to approximate cos(pi/5) to four decimal place using the macluarin series.



    The actual value of cos(pi/5) is: 0.809016994


    Does this mean that the first five decimal place of the value I obtain from the series must match exactly as 0.80901? What about the rounding?
    What if I got something like
    1)0.809071
    2) 0.809014

    Do they still fit into the problem?
     
  2. jcsd
  3. Mar 26, 2012 #2

    phinds

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    Gold Member

    Re: 【what] does it mean by the term" approximate to four decimal place accuracy"

    I think "approximate to 4 decimal places" means 4 significant digits with the last one plus or minus 5, which mean for .809016994, the range of valid answers would be about from .8085 to .8095
     
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