Even and odd numbers

Even and Odd Numbers

Let's explore even and odd numbers! Imagine you have marbles to share equally with a friend.
In the first case, you have 8 marbles. Can you split them evenly?

Now, if you have 9 marbles, can you still split them evenly?

Answer

For 8 marbles, each of you can get 4 marbles, with none left over.

For 9 marbles, each of you can get 4, but there’s 1 marble left over.

Numbers that split evenly with none left are even. Numbers with one left over are odd.

Definition Even number

An even number is a number that you can divide into 2 equal groups with no leftovers.
Examples: \(0, 2, 4, 6, 8, 10, 12, 14, \dots\)

Definition Odd number

An odd number is a number that cannot be divided into 2 equal groups without leaving one out.
Examples: \(1, 3, 5, 7, 9, 11, 13, 15, \dots\)

Example

Is 6 even or odd?

Answer

6 is even because you can divide it into 2 equal groups of 3 apples: