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This question is back-to-front. It would be much better to ask, "What problems would arise if we didn't round the year to 365 days?"

Problem 1.

Earth's tilt relative to the sun would change a little each year and winter weather would come earlier and earlier. After about 600 years it would be snowing in mid-summer and the hottest days would be in the middle of winter.

Problem 2.

If every year were 365 .25 days as it really is, then the new year would start at six o'clock in the morning every fourth year and at midday each year after that and at 6pm too sometimes. The parties would be difficult to arrange and people wouldn't be too happy with the parties starting at 6am.

Problem 3.

Years would not begin on the first of January except once every thousand years or so.

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Q: What promblems arise from rounding a year to 365 days?
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