which of the following years are leap years and why?

Question

1800, 1850, 1852, 1900, 2000, 2040, 3000, 4000

Answer 1

In order to get a closer approximation, it was decided to have a leap day 97 years out of 400 rather than once every four years. This would be implemented by making a leap year every year divisible by 4 unless that year is divisible by 100. If it is divisible by 100 it would only be a leap year if that year was also divisible by 400.[2][3] So, in the last millennium, 1600 and 2000 were leap years, but 1700, 1800 and 1900 were not. In this millennium, 2100, 2200, 2300, 2500, 2600, 2700, 2900 and 3000 will not be leap years, but 2400 and 2800 will be. The years that are divisible by 100 but not 400 are known as "exceptional common years". By this rule, the average number of days per year will be 365 + 1/4 - 1/100 + 1/400 = 365.2425.

Answer 2

Hello friend,

There is a rule that 97 years have leap day out of every 400 years.This would be implemented by making a leap year every year divisible by 4 unless that year is divisible by 100. If it is divisible by 100 it would only be a leap year if that year was also divisible by 400. So, in the last millennium, 1600 and 2000 were leap years, but 1700, 1800 and 1900 were not. In this millennium, 2100, 2200, 2300, 2500, 2600, 2700, 2900 and 3000 will not be leap years, but 2400 and 2800 will be. The years that are divisible by 100 but not 400 are known as "exceptional common years".
So answer is 1852,2000,2040 & 4000 are leap years and 1800,1850,1900 and 3000 are not.

Answer 3

1852, 2000, 2040, 4000

NOTE: 1800, 1900, 3000 are NOT leap years.
The general rule is that the year must be divisible by 4. HOWEVER if it is a multiple of 100, then it must be divisible by 400 to be a leap year.

Answer 4

The definition of a leap year goes as follows:

A leap year is every year divisible by 4 unless that year is divisible by 100. If it is divisible by 100 it would only be a leap year if that year was also divisible by 400.

Merely being divisible by 4 isn't sufficient to be a leap year. That means the leap years are: 1852, 2000, 2040, 4000.

1800, 1900, and 3000 are not leap years because, although it is divisible by 4, it is not divisible by 400.

Answer 5

divide each by 4 and the ones without remainders are leap years: 1800, 1852, 1900, 2000, 2040, 3000, and 4000

plus, 4 goes evenly into 100 so any number that factors to 100 will be a leap year.

yay math! lol

Answer 6

Every year evenly divisible by four is a leap year
--Unless it is evenly divisible by 100 in which case it is not
----Unless it is evenly divisible by 400 in which case it is after all

So the leap years in the list are:

1852, 2000, 2040, and 4000
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