Zero Sum
Pronunciation: /ˈzɪər.oʊ sʌm/ Explain
- A zero sum is made by adding a value and
its additive inverse. Zero sums are used in
canceling
while
simplifying.
Canceling Using a Zero Sum
Step | Equation | Description |
1 | x + 3 = 5 |
This is the equation to simplify. |
2 | x + 3 - 3 = 5 - 3 |
Subtract 3 from both sides. The
3 - 3 on the left
side of the equation is a zero sum. |
3 | x + 0 = 2 |
Simplify the constant terms |
4 | x = 2 |
Apply the additive property of zero to transform
x + 0 to
x. This is the solution. |
- In game theory, a zero sum game is a game where the gains of
one player must be offset by the losses of other players. See
Zero sum game in
Wikipedia Encyclopedia.
References
- McAdams, David E.. All Math Words Dictionary, zero sum. 2nd Classroom edition 20150108-4799968. pg 192. Life is a Story Problem LLC. January 8, 2015. Buy the book
Cite this article as:
McAdams, David E. Zero Sum. 5/13/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/z/zerosum.html.
Revision History
5/13/2019: Changed equations and expressions to new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
12/17/2018: Removed broken links, updated license, implemented new markup. (
McAdams, David E.)
9/28/2009: Changed example from paragraph to table. (
McAdams, David E.)
12/24/2008: Initial version. (
McAdams, David E.)