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In math, even is just another way of saying divisible by 2.

If you add or subtract two numbers that share a divisor, the resulting number will also share that divisor. So the sum or difference of a pair of even numbers will (always and also) be divisible by two.

In algebraic terms:

- If a/2 results in a whole number, then a must be even. Likewise, b/2.

- a/2 - b/2 = (a-b)/2.

- So if both a/2 and b/2 are whole numbers, then their difference must be, as well.

Q: Why is an even number minus an even number an even number?

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"IT IS ALWAYS A ODD"

There is need for a conjecture. It is an easily proven fact that an even number minus an even number is always an even number.

The answer is an odd number.

an odd number.

It would be even.

Related questions

"IT IS ALWAYS A ODD"

Any even number minus another even number is either even or zero. Any odd number minus another odd number is also either even or zero.

There is need for a conjecture. It is an easily proven fact that an even number minus an even number is always an even number.

even

YES

There is no answer to the question. An even number minus an even number gives an answer that is even. So the difference of two evens cannot be 25.

its another even number.

An odd number minus an odd number is an even number.

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even minus odd will be odd.

Because the second number from an odd number is odd, and every other number is an odd number. In fact, if you add or subtract an even number with any number, the result keeps the same parity as the other number. So an odd number minus an even number is odd, while an even number minus and even number is even.

is an even number. EXAMPLE: 6 - 2 = 4- even.

The answer will be odd.