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Karo-lina-s [1.5K]
2 years ago
10

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 help me understand the difference.

Mathematics
1 answer:
kow [346]2 years ago
6 0

Answer:

<h2>Here's what makes an integer odd:</h2>
  • It is NOT a multiple of 2.
  • When divided by 2, the quotient would be a decimal or have a remainder or fraction.

<h2>Here's what makes an integer even:</h2>
  • It is a multiple of 2.
  • When divided by 2, the quotient has a whole number.

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

<em>The even numbers from one to 10 are: 2, 4, 6, 8, 10. </em>

  • 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.
<h2>With the x + 2, x + 4, etc:</h2>
  • 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:

x= 17\\x + 2 = ?\\(17) + 2 = 19

<em>See how x is an odd number and the sum of the number and two makes another odd number? </em>

The same can go with an even number:

x=2\\x + 6 = ?\\(2) + 6= 8

<em>See how x is an even number and the sum of the number and six makes another even number? </em>

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

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