The difference between either 2 even or 2 odd numbers always result in an even number, right ?

Question

And, the difference between an even and odd numbers always result in odd number. Agree ?

Answer 1

yes.
even numbers 2n - 2p = 2(n-p)
odd (2n+1) - (2p+1) = 2n - 2p = 2(n-p)

ah
even - odd = 2n - (2p+1) = 2(n-p) -1 is odd

what else do you want to know ?.

Answer 2

Yes. The rules are very simple in this case:

(Odd ± Odd) = Even

Reason:

For a number to be odd, it has to have an extra 1 that makes it unable to divide perfectly by 2. Any two such odd numbers when added will combine their residual ones, which add to 2, so the resulting sum or difference of any two odd numbers will be even in all cases.




(Odd ± Even) = Odd

Reason:

An even number always divides perfectly by 2. If any odd number is added to or subtracted from an even number, then the resulting sum or difference is always odd, since adding or subtracting will produce a result that is always ±1 away from being an even number,





An odd number of odd values always sums to an odd result and an even number of odd values always sum to an even result.

Any number of even values always produces an even sum.

Answer 3

Yes. Think of odd numbers as multiplying negative numbers too and you'll have the same result (except the negative numbers turn out to be positive).

Answer 4

yes, except when the difference you end up with is 0. Zero is mostly defined an even number. However, if you go to Las Vegas and play roulette, a bet on "even" loses when a 0 comes up.

Answer 5

Let n,m,p,q be Integers.
Difference of two even numbers: 2n - 2p = 2(n - p). Let m = n - p
imples 2n - 2p = 2m (EVEN)
Dfference of two odd numbers: (2n + 1) - (2p + 1) = 2n + 1 - 2p - 1 = 2n - 2p = 2m (EVEN)
Difference of even and odd number: 2n - (2p + 1) = 2n - 2p -1 = 2m - 1. let m = q +1
implies 1n - 2(p + 1) = 2(q + 1) - 1 = 2q + 2 - 1 = 2q + 1 (ODD)
So yes I agree

Answer 6

Agreed.

Answer 7

Yes it Does!

Answer 8

Good job dude.

Answer 9

sounds like a stabe theory, what would einstine do

Answer 10

no matter how many times you try it it always works out...