Property of Division by 1

Pronunciation: /ˈpɹɑp.ər.ti ʌv dɪ.vɪ.ʒən baɪ wʌn/ Explain

four dots on the left, an arrow pointing from left to right labeled '4 divided by 1 = 4' and 'divide into one group', and four dots in a box on the right.
Figure 1: Division by 1.

What do you get if you divide a set of objects into groups of 1? You get the same number you started with. So, any number divided by 1 remains unchanged. a / 1 = a.


  1. McAdams, David E.. All Math Words Dictionary, property of division by 1. 2nd Classroom edition 20150108-4799968. pg 146. Life is a Story Problem LLC. January 8, 2015. Buy the book

Cite this article as:

McAdams, David E. Property of Division by 1. 4/28/2019. All Math Words Encyclopedia. Life is a Story Problem LLC.

Image Credits

Revision History

4/28/2019: Changed equations and expressions to new format. (McAdams, David E.)
3/28/2019: Corrected image. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
12/1/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
8/3/2018: Initial version. (McAdams, David E.)

All Math Words Encyclopedia is a service of Life is a Story Problem LLC.
Copyright © 2018 Life is a Story Problem LLC. All rights reserved.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License