Zero is Odd or Even?

Hi guys!!!

What do you have for lunch today? I’m very busy with mountain of assignments and just ate 2 slices of banana cake for lunch. Yummy! I walked to the corner of my classroom to throw the cakes’ box into the dustbin. Something pop up in my mind!

I asked myself this and that!

Q: Why I wanna throw the box?

A: Because it is empty. I already ate all the cakes. *In the other word there is ZERO cake in the box*

Q: Obviously ZERO is a number and we classify number as odd or even number right? Then, what about ZERO? It is odd or even?

I asked my friends whether zero is odd or even. Some of them answered zero is odd and others said zero is even. Few of them said zero is neither odd nor even! And most of them getting confused. They did not sure either it is odd or even number.

Just like what I said in the post Maths Got Pizza, nowadays math is more than accepting facts. We need to digest it properly and proof the statement to convince others that we are saying the truth.

From my view, ZERO IS EVEN NUMBER. Let’s clear this confusion before the lunch break end.

Proof 1:

Firstly, we need to recall the basic definition of even numbers. As our primary teacher taught us, even number is something that can be divided by 2 and have no remainder. For example:

14 / 2 = 7

18 / 2 = 9

20 / 2 = 10

0 / 2 = 0

Well, it can be clearly seen that zero also can be divided by 2. In fact, mathematician believe that zero is the most even number since it can be divided by 2 repeatedly and still got zero as the answer.

0 / 2 = 0

0 / 2 = 0

0 / 2 = 0

.

.

.

and so on.

Proof 2:

Digest this number line guys. Imagine it is the fish bone, eat carefully. Open your eyes wider!

From the number line, I can simply conclude that the pattern of a number line is {…, odd, even, odd,…} Means here, the position of even numbers and odd numbers are alternate.

3   4   5

7   8   9

-1   0   1

Once again, it is really obvious that ZERO lies between two odd numbers, -1 and 1.

Proof 3:

If n is an odd integer, then 3n + 5 is an even integer

To proof this statement, I assume that n is an odd integer.

Since n is odd, we can write n = 2k + 1 for some integer k.

Now, we have 3n + 5 = 3 (2k + 1) + 5 = 6k + 3 + 5 = 6k + 8 = 2 (3k + 4).

Since 3k + 4 is an integer, 3k + 5 is even.

But when we substitute n = 0 , where n is an odd integer, we get 3(0) + 5 = 5.

This contradicts above statement as 5 is an odd integer.

Therefore, zero is not an odd integer.

To conclude, we have proof that zero is EVEN integer.

WOW! I can’t believe I just showed you 3 proofs on why zero is even during this lunch break guys. Really hope we have learn something new today. I guess we have gain some weights! Till then, have a great day ahead buddies.

THE MATHELICIOUS

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