This is the example my teacher used. however, i still don't understand what makes the integers even or odd. i was hoping someone here could me understand the difference.

Here's what makes an integer odd:It is NOT a multiple of 2. When divided by 2, the quotient would be a decimal or have a remainder or fraction. Here's what makes an integer even:It is a multiple of 2. When divided by 2, the quotient has a whole number.

The odd numbers from one to 10 are: 1, 3, 5, 7, 9.

The even numbers from one to 10 are: 2, 4, 6, 8, 10.

With big numbers, if it ends with any of the odd numbers from one to ten, listed above, it would be odd. This goes for the same with even.With the x + 2, x + 4, etc:An odd number and even number has a pattern....

[odd, even, odd, even, odd...] [1, 2, 3, 4, 5]

So, if x was an odd number, adding it by 2, 4, 6, etc. will result in another odd number.

Here's an example:

See how x is an odd number and the sum of the number and two makes another odd number?

The same can go with an even number:

See how x is an even number and the sum of the number and six makes another even number?

I hope my answer helps you understand even and odd numbers.

The answer is a hope i