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    robkelly2242's Avatar
    robkelly2242 Posts: 57, Reputation: 0
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    #1

    Mar 6, 2008, 12:43 AM
    useful approximations
    There are some approximations that make it easier to do quick mental calculations. Some of the ones I use most are;
    (1) Number of seconds in a year = pi x10^7.

    (2) speed of light = 1g (9.8m/sec/sec) for one year

    (3) 6% for 60 days = 1%

    Does anyone out there have any others?
    iamthetman's Avatar
    iamthetman Posts: 105, Reputation: 8
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    #2

    Mar 17, 2008, 12:57 PM
    pi = 3.14
    e = 2.718
    Number of weeks in a year is 52
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #3

    Mar 18, 2008, 08:15 AM
    pi approx = sqrt(10)

    speed of light times 1 nano second= 1 foot

    1 parsec = pi light years
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #4

    Mar 18, 2008, 09:00 AM
    One of the best fractional approximations to pi is 355/113

    355/113=3.14159292035

    Pi to 11 places is 3.14159265359
    robkelly2242's Avatar
    robkelly2242 Posts: 57, Reputation: 0
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    #5

    Mar 18, 2008, 11:54 PM
    Quote Originally Posted by iamthetman
    pi = 3.14
    e = 2.718
    Number of weeks in a year is 52
    You're not very smart, are you?
    robkelly2242's Avatar
    robkelly2242 Posts: 57, Reputation: 0
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    #6

    Mar 19, 2008, 12:14 AM
    Thanks, ebaines and galacticus. Ebaines, the idea that light moves one foot in 10^-9 sec will be a really useful concept for figuring response times, etc. Rob
    iamthetman's Avatar
    iamthetman Posts: 105, Reputation: 8
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    #7

    Mar 19, 2008, 09:13 AM
    Quote Originally Posted by robkelly2242
    You're not very smart, are you?

    Oh sorry, you must be one of those people that actually thinks there are 52 weeks in a year.

    You asked for useful approximations and I certainly gave you some. In fact the approximations I gave you are much more commonly used than the others I've seen here.

    Perhaps my pi approximation is off by the thousandth decimal but it is still the most commonly used approximation.
    eeseely's Avatar
    eeseely Posts: 100, Reputation: 3
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    #8

    Mar 21, 2008, 08:42 AM
    When I used my slide rule, I entered 22/7 as a close approximation for PI.

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