Cancel
Pronunciation: /ˈkæn.səl/ Explain
To cancel is to
simplify
an
expression
using sums totaling 0 and
common factors.
Cancellation is the process of canceling.
Example 4: Simplify
Step | Expression | Explanation |
1 | |
The fraction will be
simplified
using cancellation. |
2 | |
Factor
the numerator
and denominator of the fraction.
6xy = 2·3·x·y
and 10x=2·5·x. |
3 | |
Find the common factors
of the numerator and denominator. The common factor is
2x. Use the associative property of
multiplication to group the common factors together. |
4 | |
Since anything divided by itself is 1, use the
substitution property of equality
to substitute
1 for
2x / 2x. |
5 | |
Use the multiplicative property of 1
to eliminate the 1 from the expression. |
6 | |
The fraction 6xy / 10x can be
simplified to 3y / 5, assuming x
is not 0. |
Table 3 |
References
- McAdams, David E.. All Math Words Dictionary, cancel. 2nd Classroom edition 20150108-4799968. pg 29. Life is a Story Problem LLC. January 8, 2015. Buy the book
Cite this article as:
McAdams, David E. Cancel. 4/14/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/cancel.html.
Image Credits
Revision History
4/14/2019: Updated equations and expressions to new format. (
McAdams, David E.)
3/1/2019: Corrected formatting. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
6/22/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (
McAdams, David E.)
1/4/2010: Added "References". (
McAdams, David E.)
12/24/2008: Expanded examples and used images for equations. (
McAdams, David E.)
4/22/2008: Initial version. (
McAdams, David E.)