Odd Number
Pronunciation: /ɒd ˈnʌm bər/ Explain
A
number
is odd if it is not evenly divisible by 2.^{[1]} Expressed
mathematically, odd integers are in the form 2k+1 where k
is an integer. In set notation, odd integers are
Properties of odd numbers
- The sum of two odd numbers is an even number.^{[2]}
- The sum of two consecutive numbers is always odd.^{[2]}
- The sum of an even and an odd number is always odd.^{[2]}
References
- odd. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 12/21/2009. http://www.merriam-webster.com/dictionary/odd.
- Antonella Cupillari. The Nuts and Bolts of Proofs, Third Edition: An Introduction to Mathematical Proofs. 3rd edition. pg 12. Academic Press. June 3, 2005. Last Accessed 2/1/2010. Buy the book
More Information
- McAdams, David E.. Even Number. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 3/12/2009. http://www.allmathwords.org/en/e/evennumber.html.
Cite this article as:
McAdams, David E. Odd Number. 5/5/2011. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/o/oddnumber.html.
Image Credits
Revision History
12/21/2009: Added "References". (
McAdams, David E.)
1/4/2009: Changed equation to image. (
McAdams, David E.)
8/26/2008: Added 'More Information'. (
McAdams, David E.)
7/8/2008: Initial version. (
McAdams, David E.)