Even and Odd Numbers

In mathematics, even numbers are integers that can be divided by 2 without leaving a remainder, while odd numbers are integers that cannot be divided by 2 without leaving a remainder.

For example, 2, 4, 6, 8, and 10 are even numbers because they can be divided by 2 without leaving a remainder (2/2=1, 4/2=2, 6/2=3, 8/2=4 and 10/2=5). On the other hand, 1, 3, 5, 7, and 9 are odd numbers because they cannot be divided by 2 without leaving a remainder (1/2=0.5, 3/2=1.5, 5/2=2.5, 7/2=3.5, 9/2=4.5).

Another way to check whether a number is even or odd is to look at its last digit. Even numbers always end in 0, 2, 4, 6, or 8, and odd numbers always end in 1, 3, 5, 7, or 9.

Even numbers have some special properties and are useful in many mathematical operations. For example, the sum of two even numbers is always even, the product of two even numbers is always even, and the square of an even number is always even.

Odd numbers also have some special properties and play an important role in many mathematical operations. For example, the sum of two odd numbers is always even, the product of two odd numbers is always odd, and the square of an odd number is always odd.

In summary, even numbers are integers that can be divided by 2 without leaving a remainder, while odd numbers are integers that cannot be divided by 2 without leaving a remainder. Another way to check whether a number is even or odd is to look at its last digit. Even and odd numbers have some special properties and play an important role in many mathematical operations.