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Math Help - Leap year

  1. #1
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    Leap year

    They say in 100 years there are 24 leap years, if every fourth year is a leap year, should not it be 25?
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  2. #2
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    Re: Leap year

    Quote Originally Posted by hisajesh View Post
    They say in 100 years there are 24 leap years, if every fourth year is a leap year, should not it be 25?
    Hi hisajesh!

    The rule is slightly more complex.
    Every century is not a leap year, except multiples of 400.
    So 2000 is a leap year, but 2100, 2200, and 2300 are not leap years.

    In 400 years we would get 100 leap years according to your rule, but 3 of them will not be a leap year, leaving only 97 leap years.
    This means that in 100 years, there are actually 97/4=24.25 leap years.
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    Re: Leap year

    Hi Dear
    ILikeSerena Your opinion is similar with me.

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    Re: Leap year

    Nice write ILikeSerena.I thinks your answer is correct.
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    Re: Leap year

    @ILikeSerena: Every year consists of 365 days and 5 hours and 48 minutes and few seconds..which is close to 365 days and 6 hours.
    If that is the case every fourth year should make 366 days making it a leap year????
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    Re: Leap year

    Quote Originally Posted by hisajesh View Post
    @ILikeSerena: Every year consists of 365 days and 5 hours and 48 minutes and few seconds..which is close to 365 days and 6 hours.
    If that is the case every fourth year should make 366 days making it a leap year????
    Yes. Every fourth year is a leap year... with the exceptions noted earlier.
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  7. #7
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    Re: Leap year

    The exceptions being made BECAUSE the year is NOT exactly 365.25 days. By the time every century rolls around, we will have come very close to having had an extra day because of all the leap days, which is why that year is NOT a leap year.
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