\nEven Numbers:<\/strong> Numbers that are divisible by 2 and leaves a remainder 0 or no remainder are called Even Numbers.
\nOdd Numbers:<\/strong> Numbers that are not divisible by 2 or leaves a remainder 1 when divided by 2 are called Odd Numbers.<\/p>\n
Even and Odd Numbers Set Representation<\/h3>\n
Sets Representation of Even and Odd Numbers can be denoted using the<\/p>\n
- \n
- Even = {2k : k \u03f5 Z}<\/li>\n
- Odd = {2k + 1 : k \u03f5 Z}<\/li>\n<\/ul>\n
Even Number is an integer represented in the form of n= 2k and Odd Number is an integer represented in the form of n = 2k+1. This is applicable only for integers.<\/p>\n
Properties of Even and Odd Numbers<\/h3>\n
Below is the list of some of the properties of Even and Odd Numbers. They are along the lines<\/p>\n
- \n
- The Sum of Two Even Numbers is always an Even Number.<\/li>\n
- Sum of Two Odd Numbers is also an Odd Number.<\/li>\n
- The Sum of an Even and Odd Number is an Odd Number.<\/li>\n
- Even is completely divisible by 2 and leaves a remainder 0.<\/li>\n
- Odd Number will not be completely divisible by 2 and leaves a remainder 1.<\/li>\n
- Even Number ends with digits 0, 2, 4, 6, 8 whereas Odd Numbers end with digits 1, 3, 5, 7, 9.<\/li>\n<\/ul>\n
How to Check if a Number is Even or Odd? | Identifying Even and Odd Numbers<\/h3>\n
We know that Even Numbers ends with the digits 0, 2, 4, 6, 8 and odd numbers end with digits 1, 3, 5, 7, 9, etc. So, in order to determine whether a number is even or odd, you just need to comprehend the digit in one’s place. This single number helps to tell whether the entire number is even or not without actually performing division and looking at the remainder.<\/p>\n
Example:<\/strong> 23456 this is an even number as the last digit is 6.
\n1231 is an odd number as the last digit is 1.<\/p>\nOdd and Even Numbers Flowchart<\/h3>\n
Below is the flowchart for Odd and Even Numbers. You can easily understand the differences between even and odd numbers and their working by checking out the below pictorial representation.<\/p>\n
![\"Odd](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/05\/Odd-and-Even-Numbers-Flowchart.png\")
<\/p>\nEven and Odd Numbers<\/h3>\n
If we can divide digits into two groups having an equal number of elements in each then the number is an even number. In the case of odd numbers, this is not possible and we will have a remainder 1.<\/p>\n
![\"Even](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/05\/Even-and-Odd-Numbers.png\")
<\/p>\nEven numbers end in 2, 4, 6, 8, and 0, irrespective of the preceding digits they have.<\/p>\n
Odd Numbers ends in 1,3,5,7,9, independent of the preceding digits they have.<\/p>\n
List of Even and Odd Numbers Between 100<\/h3>\n
Check out the below image to know the list of Even And Odd Numbers Between 1 and 100<\/a>. We have represented the Even Numbers marked in Red and Odd Numbers marked in Black for easy identification. Take a Printout of this handy image for free and try to learn the Even and Odd Numbers List between 1 to 100 in no time.<\/p>\n
![\"Odd](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/05\/Odd-and-Even-Numbers-Chart.png\")
<\/p>\nHow to Teach Even and Odd Numbers? | Even and Odd Numbers Songs for Kids<\/h3>\n
Help your kids learn about the Even and Odd Numbers in a fun and engaging way by making use of the below provided Elementary Math Songs for Even and Odd Numbers. Sing along these songs on Odd and Even Numbers and learn to identify them, properties, etc. easily.<\/p>\n
Even number song (elementary math)<\/b>
\nSplit em up,
\nEvens split,
\nDown the middle,
\nSplit em up,
\nEvens split,
\nSay this rhyme…
\nEven numbers split,
\nRight down the middle,
\nHalf and half,
\nMake even numbers
\nEvery time<\/p>\n0, 2-4-6-8
\n0, 2-4-6-8
\nSay this rhyme,
\nIf ANY number ends,
\nWith one of those digits,
\nThen that number’s even,
\nEvery time…<\/p>\nOdd number song (elementary math)<\/b>
\nOdd numbers
\nOdd numbers
\nCan’t be beat,
\nThose 5 digits,
\nAre so sweet…
\nHey odd numbers!
\nGo odd numbers!
\n1,3,5,7,9
\nThe only odd digits,
\nAll the time!
\nHey odd numbers!
\nGo odd numbers!
\n1,3,5,7,9
\nThe only odd digits,
\nAll the time!
\nHey odd numbers!
\nGo odd numbers!<\/p>\nOdd and Even Number Song<\/b>
\nA song about Odd and Even Numbers
\nIf a number is even you can break it into two equal groups.
\nIf a number is odd then you can’t
\nEven numbers all end with 0, 2, 4, 6, or 8
\nAnd the numbers that are odd, well they don’t.<\/p>\n","protected":false},"excerpt":{"rendered":"In this article, we will discuss in detail the classification of real numbers namely even and odd numbers. Check out the Definition of Even and Odd Numbers, Set Representation, Flow Chart, Properties, etc. Refer to the further modules to identify even and odd numbers, list of even and odd numbers between 1 to 100. Be … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":109762,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/05\/Odd-and-Even-Numbers.png","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/109002"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=109002"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/109002\/revisions"}],"predecessor-version":[{"id":135851,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/109002\/revisions\/135851"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media\/109762"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=109002"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=109002"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=109002"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}