### Even and Odd Number Worksheets

Students determine if a number can be classified as even or odd. Kids really love the mazes and puzzles. Try them, we're sure you'll have fun.

1. Even and Odd Numbers Double Digits - Identify the classification of each number by writing "Even" or "Odd".
2. Even and Odd Numbers Triple Digits - We now move the skill up to defining numbers in three digit form.
3. Even and Odd Numbers Quadruple Digits - Up the skill to include 4 numbers. Hopefully by now students understand that the ending digit defines the number.
4. Odd or Even Circle and Color - Students pick the numbers out rather than creating the numbers. Time to break out the crayons. This can even be used as a quick quiz.

These are more application type worksheets. Students actually use this skill to solve some sort of puzzle.

1. Even and Odd Bubbles - A quick coloring activity. A fun way to review this skill. Students just color the defined numbers.
2. Even and Odd Picture Counts - This is very basic and includes counting. A quick review on counting followed by classfying the number you determined in the count.
3. Even and Odd Word Problems - We present students with a real life situation where they have to thinking critically. We put students in a quick scenario and ask them to determine if what is in front of them is even or odd.
4. Even Number Maze - Help Fido find his food bowl. He's super hungy! This is a real fun one. Fido needs your help to get to dish food dish. Help Fido by follow the even numbers to his bowl.
5. Odd Number Maze - P.J. the frog is trying to get to his dinner table. Help him out! Poor old P.J. the frog is hungry. Help him find his way to his dinner (flies) by following the odd numbers.

## Why Do We Classify Numbers as Even or Odd?

Classification of any group of objects is simply done for the purpose of making it easy to understand and study them. Similarly, we classify numbers in different groups like natural, even, or odd, etc. Knowing which type of number, we are dealing with helps solve mathematical problems.

There are different uses for each type of number in different equations.

Natural

Natural numbers are positive integers; the smallest natural number is 1. The numbers 1, 2, 3, 4, 5,.., etc., all are known as natural. They can go up to infinity so we cannot obtain the largest natural number. The natural forms differ by 1, e.g. the consecutive natural numbers 2 and 3 have a difference of 1. If x is a natural number, the series of numbers after x would be, x + 1, x + 2, x + 3, and so on.

Even Natural

Natural numbers are classified as even or odd. Even numbers are those that can be divided by 2, and the answer is a whole number. Values like 32, 8, and 16 are divisible with 2, to give the numbers, 16, 4, and 8, respectively.

Odd Natural

Odd numbers cannot be divided by 2 with a result of a whole number. Examples of odd values are 1, 3, 5, 7, etc. If we divide an odd number with 2, it will result in a fraction. For example dividing 5 by 2, will give the result 2.5.

Fractions

They contain two integers, which are present as numerator, the top number, and denominator, the bottom number. For example,5/8 , where 5 is a numerator, and 8 is a denominator.

Whole

Whole numbers do not have decimal or fraction. For example, 0, -25, 18 are all whole numbers. Whole numbers are called integers, and all of them are natural numbers, except for 0.

Negatives

Negative numbers are values that are below zero. For example, -9, -32, etc.

Integers

The integers are all the natural numbers, 0 and negatives of natural numbers. Hence there are infinite integer numbers on the positive side and infinite integers on the negative side of 0. E.g., ……, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, …., etc.

What Are They?

Numbers are used to express a quantity, measurement, or counting. It is an arithmetic value used in calculations. We can classify them into even and odd numbers.

Even numbers are those values which can be divided by 2, and leave no remainder behind. Even numbers always end in integers 0, 2, 4, 6 or 8.

The general formula for an even number is n (n + 1), where n is a natural number.

For example, if n = 1, then 1 (1 + 1) = 2. If n = 2, then 2 (2 + 1) = 6, n = 3, then 3 (3 + 1) = 12.

Examples of even values are 30, 26, 118, 74, 1000, etc.

An odd number cannot be divided by 2 and give a whole number. When they are divided by 2, they leave a remainder of 1. All odd numbers end in 1, 3, 5, 7 or 9.

The general formula of an odd number sequence is (2n - 1,) where n is a natural number.

For example, if n = 1, then (2 x 1) - 1 = 1. If n = 2, then (2 x 2) - 1 = 3, n = 3, then (2 x 3) - 1 = 5, and so on.

Examples of odd values are 55, 63, 5, 999, etc.

How to Identify a Number as Even or Odd

We check the last number of our integer. If our integer ends in 0, 2, 4, 6, or 8, then it is an even number and is divisible by 2. For example, 236 divided by 2 gives 118, which is a whole number, whereas 235 divided by 2 gives 117.5, which has a decimal. Hence 236 is an even number, and 235 is an odd number.

Think of an even number as two groups in which equal amount of numbers are present. If we have a number 4, dividing it into 2 groups will have 2 elements in each group. If we take number 7, one group will have 3 elements and the other will have 4 elements. This means that if we take out 1 element from the bigger group, we will be left with two equal groups, or an even number.

Taking the same example of number 7, taking out remainder 1 from the group of 4 elements will make two equal groups of 3 elements.

Simply put, divide a number e.g. 8 or 15, by 2. The equation would look like this; 8/2 , or 15/2. If the remainder is 0, then the number is even. 8/2 = 4, so the number 8 is an even number.

Whereas if the remainder is 1, then the number is odd. 15/2 = 7.5.

Using Them In Common Operations

Even + Even = Even, E.g. 2 + 12 = 14.
Even + Odd = Odd, E.g. 8 + 5 = 13.
Odd + Odd = Even, E.g. 7 + 15 = 22.

Subtraction:

Even - Even = Even, E.g. 6 - 4 = 2.
Even – Odd = Odd, E.g. 18 – 3 = 15.
Odd – Odd = Even, E.g. 25 – 5 = 20.

Multiplication:

Even x Even = Even, E.g. 2 x 6 = 12.
Even x Odd = Even, E.g. 6 x 7 = 42.
Odd x Odd = Odd, E.g. 3 x 3 = 9.

Where Does Zero Fit?

Zero is an even number. This is because when 0 is divided by 2, the resulting number is 0, which is a whole number. This makes 0 an even number.