This original article was first published here: Even and Odd Whole Numbers.

Numbers form an important part of a child’s math learning. They are the basic building blocks in developing math skills like counting, place value, and arithmetic calculation. There are different number sets with their own significance and learning challenges. Whole numbers are the set of numbers that include non-negative numbers without fractions or decimals. For example, the numbers ten and number six are whole numbers. It is usually the first set of numbers introduced after a child learns to count. This number set includes natural numbers along with zero.

## Why do we Need Whole Numbers?

Numbers are used everywhere around the world. Everyone needs to perform some counting, addition, or subtraction of numbers on a daily basis. Recognizing and counting numbers is an important life skill we all have been using since the time we started counting toys or candies from two or three years of age. As we grow, we need this skill to count the prices of our various things in our life. Thus, gaining a deep number sense is highly crucial for everyone to develop. Determining even and odd whole numbers is an essential part of establishing number sense. It includes understanding even and odd numbers to perform various operations on them.

## What are Even and Odd Whole Numbers

All whole numbers without zero can be specified as either even numbers or odd numbers. A whole number is “even” if it is divisible by two without a remainder. For instance, six divided by two gives three, so the number six is an even number, and all the numbers that end in 0, 2, 4, 6, and 8 are even numbers.

Odd numbers are the whole numbers that are not completely divisible by two. That means, when we try to divide any odd by two, it leaves a remainder. For example, seven divided by two gives three with a remainder of one, so it is an odd number, and all the numbers that end in odd numbers are called odd numbers.

## Basic Operations With Even And Odd Whole Numbers

It is necessary to memorize a few rules for the way odd, and even numbers work together in equations.

### Addition Rules:

- When an even number is added to an even number, it results in an even number. For example, 4 + 6 = 10; when four is added to six, the result is ten which is an even number.
- When an odd number is added to an odd number, it results in an even number. For example, 3 + 5 = 8, when an odd number, say three, is added to the odd number five, the result is eight, which is an even number.
- When an odd number is added to an even number, the result is an odd number. For example, 5 + 2 = 7, when an odd number, say five, is added to an even number two, the result is seven which is an odd number.

### Subtraction Rules

The subtraction rules of odd and even whole numbers are the same as the addition rules.

- When an even number is subtracted from an even number, it results in an even number. For example, 6 – 2 = 4, when two is subtracted from six, the result is four, which is an even number.
- When an odd number is subtracted from an even number, the result is an odd number. For example, 8 – 5 = 3, when an odd number, let us say five, is subtracted from an even number eight, the result is three, which is an odd number.
- When an odd number is subtracted from an odd number, the result is an even number. For example, 9 – 5 = 4, when an odd number, say five, is subtracted from an odd number nine, the result is four, which is an odd number.

### Multiplication Rules

The multiplication rules are quite different from the addition and subtraction of even and odd numbers.

- Even numbers multiplied by even numbers give even numbers. For example: 8 x 4 = 32.
- An even number multiplied by an odd number gives an even number. For example: 2 x 7 = 14.
- An odd number multiplied by an odd number gives Odd number. For example 3 x 9 = 27.

Lastly, division of odd and even numbers but there are no specific rules for the division of odd and even numbers.

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