Concept explainers
To prove : Commutative property applies to division or not.
Explanation of Solution
Formula used:
Commutative property is given by:
Proof:
Commutative Property:
According to commutative property an expression must give the same answer if we swap the operands. It can be applied to addition and multiplication.
Commutative property doesn’t apply to division.
This can be proved with the help of a simple example where,
Thus,
And if the values are swapped, that is
Thus,
which is not equal to the above value
Therefore,
Hence, it is proved that division is not commutative.
Chapter 1 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
College Algebra
College Algebra (7th Edition)
Linear Algebra and Its Applications (5th Edition)
College Algebra
Calculus: Early Transcendentals (2nd Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education