Why adding an even and odd number always results in an odd number – The Math Behind It.

even +/- odd=

odd

The result of adding an even number with an odd number is always an odd number.

For example:
– 2 + 3 = 5
– 4 + 1 = 5
– 6 + 7 = 13

To understand why this happens, we need to remember that even numbers can be expressed as 2n, where n is an integer. Therefore, if we add an even number with an odd number, we get:

(2n) + (2m + 1) = 2(n + m) + 1

The expression 2(n + m) is an integer, and adding 1 to it will always result in an odd number.

So, the sum of an even number and an odd number is always an odd number.

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