Even and Odd Numbers

We will discuss here about the even and odd numbers.

Even Numbers:

Even and Odd Numbers

In this picture, there are 12 dots. Let us make pairs we observe that all the dots are paired and no dot is left, so we say 12 is an even number.


Even Numbers

In this picture, there are 8 dots and all are paired so 8 is an even number.

In general we can say that all those numbers that can be put into pairs are called even numbers, that is, all those numbers which come in the table of two are even numbers.

Or, we can say those numbers which are exactly divisible by 2 are called even numbers. We can obtain even numbers by multiplying 2 with whole numbers.

As we know that exactly divisible means no remainder is left when we divide a number by another number. If we divide 12 by 2 we get 6 as quotient and no remainder is left. So, 12 is an even number.

There are so many numbers which are divisible by 2. The numbers which are divisible by 2 are the multiples of 2. When we multiply 2 by another number, the product is called a multiple of 2.

For example, 2 × 0 = 0, 2 × 1 = 2, 2 × 2 = 4, 2 × 3 = 6, 2 × 4 = 8, etc.

Hence, even numbers end in 0, 2, 4, 6, 8.


Thus, every multiple of 2 is called an even number or the number which has 2 as one of its factors is known as an even number.

For example, 2, 4, 6, 8, 10……36, 38, 40……etc. are the multiples of 2 or 2 is one of the factors of these numbers.

So, all these numbers are called even numbers.

Thus, any number divisible by 2 is an even number.

Example on Even Numbers:

Find the even numbers between 5 and 15. The numbers between 5 and 158 are: 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.

We observe that 6, 8, 10, 12 and 14 are exactly divisible by 2.

So, they are even numbers.


Odd Numbers:

Odd Numbers

In this picture, there are 11 dots. We observe that all the dots are not paired up. One dot is left unpaired. Such numbers that cannot be put into pairs are called odd numbers.

Or, we can say those numbers which are not exactly divisible by 2 are called odd numbers. Or, we can say that, the number which is not even or not divisible by 2 is called an odd number.

For example, 13 is not exactly divisible by 2 because it leaves 1 as remainder when we divide it by 2. So, 13 is an odd number.

Odd numbers are not the multiples of 2. 

For example, 1, 3, 5, 7, 9, 11, 13, 15, ……., 51, 53, ……., etc., cannot be obtained by multiplying 2 by any other number. They are odd numbers. Hence, odd numbers end in 1, 3, 5, 7, and 9.


Example on Odd Numbers:

Find the odd numbers between 13 and 20. The numbers between 13 and 20 are: 13, 14, 15, 16, 17, 18, 19, 20.

We observe that 13, 15, 17 and 19 are not exactly divisible by 2.

So, they are odd numbers..

A number which is a multiple of 2 is an even number and that which is not multiple of 2 is an odd number.


Two objects form a pair. Thus, one object does not form any pair. If there are three objects, there is one pair and one object is left. If there are four objects, these form two pairs. If there are five objects, these form two pairs and one object is left.

Even and Odd Numbers

The numbers that make perfect pairs are called even numbers.

For example: 34, 56, 780, 1212, 490


The numbers do not make perfect pairs are called odd numbers.

For example: 79, 851, 233, 2777, 609


Properties of Even and Odd numbers:

1. The sum of two even numbers is always an even number.

For example: 14 + 258 = 272.


2. The sum of two odd numbers is always an even number.

For example: 769 + 147 = 916


3. The sum of one odd and one even numbers is always an odd number.

For example: 67 + 232 = 299


4. Even Numbers ends in 0, 2, 4, 6, 8.

For example: 24 is an even number since 24 ends in 4.

                    120 is an even number since 120 ends in 0.


5. Odd Numbers ends in 1, 3, 5, 7, 9.

For example: 73 is an odd number since 73 ends in 3.

                    129 is an odd number since 129 ends in 9.


Question and Answer on Even and Odd Numbers:

I. Tick (P) the even numbers and cross (û) the odd numbers:

(i) 250

(ii) 123

(iii) 358

(iv) 247

(v) 888

(vi) 129

(vii) 879

(viii) 2577

(ix) 2468

(x) 9003

(xi) 2758

(xii) 6881

(xiii) 1554

(xiv) 5565

(xv) 1747

(xvi) 5568

(xvii) 8785

(xviii) 252

(xix) 2475

(xx) 1454

(xxi) 1297

(xxii) 666

(xxiii) 2199

(xxiv) 2211


Answer:

I. (i) Even Number P

(ii) Odd Number û

(iii) Even Number P

(iv) Odd Number û

(v) Even Number P

(vi) Odd Number û

(vii) Odd Number û

(viii) Odd Number û

(ix) Even Number P

(x) Odd Number û

(xi) Even Number P

(xii) Odd Number û

(xiii) Even Number P

(xiv) Odd Number û

(xv) Odd Number û

(xvi) Even Number P

(xvii) Odd Number û

(xviii) Even Number P

(xix) Odd Number û

(xx) Even Number P

(xxi) Odd Number û

(xxii) Even Number P

(xxiii) Odd Number û

(xxiv) Odd Number û


II. Are the following numbers odd or even?

(i) 2782

(ii) 809

(iii) 2133

(iv) 7605

(v) 170

(vi) 5698

(vii) 6544

(viii) 3999

(ix) 4004

(x) 5000

(xi) 1093

(xii) 22

(xiii) 825

(xiv) 9329

(xv) 6003

(xvi) 1934

(xvii) 1918

(xviii) 431

(xix) 123

(xx) 89


Answer:

II. (i) Even Number

(ii) Odd Number

(iii) Odd Number

(iv) Odd Number

(v) Even Number

(vi) Even Number

(vii) Even Number

(viii) Odd Number

(ix) Even Number

(x) Even Number

(xi) Odd Number

(xii) Even Number

(xiii) Odd Number

(xiv) Odd Number

(xv) Odd Number

(xvi) Even Number

(xvii) Even Number

(xviii) Odd Number

(xix) Odd Number

(xx) Odd Number

Related Concept

Factors and Multiples by using Multiplication Facts

Factors and Multiples by using Division Facts

Multiples

Properties of Multiples

Examples on Multiples

Factors

Factor Tree Method

Properties of Factors

Examples on Factors

Even and Odd Numbers

Even and Odd Numbers Between 1 and 100

Examples on Even and Odd Numbers



4th Grade Math Activities

From Even and Odd Numbers to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Counting Numbers from 1 to 50 | Match the Number | Missing Numbers

    Apr 04, 25 03:46 PM

    Math Coloring Pages on Counting Number Oredr
    In counting numbers from 1 to 50, recognize the numbers, count and then join the numbers in the correct number order. Here we mainly need eye-hand coordination to draw the picture and maintain the num

    Read More

  2. Counting Eleven to Twenty with Numbers and Words |Numbers from 11 - 20

    Apr 04, 25 03:21 PM

    Counting eleven to twenty with numbers and words are explained below. One ten and one more is eleven. Eleven comes after ten. One ten and two more is twelve. Twelve comes after eleven.

    Read More

  3. 5th Grade BODMAS Rule Worksheet | PEMDAS | Order of operations|Answers

    Apr 03, 25 03:11 PM

    5th Grade BODMAS Rule Worksheet
    In 5th Grade BODMAS Rule Worksheet you will get different types of problems on mathematical expressions involving different operations, mathematical expression with 'brackets' and 'of' and simplifying…

    Read More

  4. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Apr 03, 25 02:58 PM

    Worksheet on Simplification
    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  5. Divisible by 2 Video |Test of Divisibility by 2 Trick| Rules| Examples

    Apr 03, 25 10:25 AM

    Divisible by 2
    A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2. So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.

    Read More