Concept explainers
To convince : That why 0 has no reciprocal.
Answer to Problem 24WE
The explanation is shown below.
Explanation of Solution
Given information :
Use the zero-product property to give a convincing argument why 0 has no reciprocal.
Calculation :
Since, zero- product property states that if the product of two factors is zero, than one or both of them are zero.
Also, the product of any number and its multiplicative inverse is always equal to 1.
So, if 0 has a reciprocal of
Hence,
It is concluded that the reciprocal of 0 does not exist.
Chapter 2 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Additional Math Textbook Solutions
Intermediate Algebra (7th Edition)
Introductory and Intermediate Algebra for College Students (5th Edition)
Differential Equations and Linear Algebra (4th Edition)
Algebra and Trigonometry
College Algebra (7th 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