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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:

odd-even-numbers-worksheet

 

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