**Odd Numbers:**

Parity is a term we use to express if a given whole number is even or odd. An odd number is a whole number which is not a multiple of two. If it is divided by two the result is a fraction. One is the first odd number. The next four greater odd numbers are three, five, seven, and nine. So some successive odd numbers are: {1,3,5,7,9,11,13,15,17,19,21,23,25...}.

**Even Numbers:**

A even number is a whole number which is "equitably divisible" by two. This implies if the whole number is divided by 2, its result has no leftover remainder. Zero is a considerably number since zero separated by two equivalents zero. Indeed, even numbers can be either positive or negative.

An integer that is not an even number is an odd number.

**Addition and Subtraction:**

Integer addition and subtraction follows these rules:

Note: the symbol '±' mean either addition or subtraction.

even ± even = even

even ± odd = odd

odd ± odd = even

To find the set of even natural numbers, we use 2N where N is any natural number. Any number multiplied with an even number will result in an even number. For example:

0N, 2N, 4N, 6N, ... (where N is any natural number)

the result is always an even number.

**Finding if number is even or odd:**

Finding if a number is even or odd can be confusing for newcomers. However, the solution is simple using the modulus operator.

The % (this symbol is known as “mod”) symbol used in mathematics tells what the remainder is when 2 the two numbers are divided. If remainder is 1, that it is odd number, and if remainder is 0 then it is an even number.

For example, 5 % 2 = 1, so it is an odd number.

6 % 2 = 0, so it is an even number.

**Odd and Even number worksheet:**

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