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Parity is the "evenness" or "oddness" of a number.

If you add an even number to anything, the result will have the same parity as what you started with. Adding an even number to something that was odd gives you a sum that is odd.

To see "why" this happens may be beyond 2nd grade math:

"Even" numbers are multiples of two. This means that any even number can be written as a sum of a bunch of twos: 10 = 2 + 2 + 2 + 2 + 2, for example.

Adding an even number to an even number just adds more twos, so the sum is even.

"Odd" numbers can't be written just as a sum of twos. Adding an even number adds some twos, but you can't get rid of whatever was not a two in the original sum. This means that the sum of an even and odd number is odd.

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Q: This is for a second grade math why is the sum alway odd when you add a even and odd number?
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