Group axiom operation +,-,*,/ which satisfies R,C,W,Z,Q number system answer Why?

Asked by Last Modified  

7 Answers

Follow 2
Answer

Please enter your answer

Math Magician

1) All except W are groups under addition. In W, 1 has no additive inverse.
Comments

Senior Mathematics Faculty

All the set R, C, W, Z and Q satisfy all the axioms with respect to the operation + and * only. But only R and C satisfy all the group axioms with respect to the binary operation +,-,*,/ since only these two sets are closed wrt to the given operations.
Comments

Mathematics Teacher with 5 years experience

Because the operation satisfies the four axioms viz. closure law, associative law, identity and inverse so (R,+), (R,-), (R,*), (R,/) are all groups and (Z,+), (Z,-) are groups but(Z,*) is not a group because only -1&1 has inverse element
Comments

Tutor

group axiom operation + satisfy R,C,W,Z,Q because this operation is unidirectinal
Comments

Mathematics Teacher

Z W, R, C,Q. form group on the operation +,
Comments

Mathematics Teacher

Z,R,C,Q FORM GROUP ON THE OPERATION -,
Comments

math

only addition and multiplication are satisfied by all these number systems
Comments

View 5 more Answers

Related Questions

I want to post my availability to work as a freelancer for doing Software development or testing related work, or even technical content writing. How can I place myself on UrbanPro?
Hello, Good morning! I recommend following couple of options for you in order to showcase your skills and share your experience among others. 1. Build your strong profile over elance or freelance portal....
Profile Photo
Nilambari
1 0
View Comments7
Which book is referred for electromagnetics?
Introduction to Electrodynamics by David Griffiths
Profile Photo
Menakshi
How should I study Class 12 mathematics without coaching?
Solve R. D SHARMA (REFERENCE BOOK) FROM BASIC LEVEL TO HIGHER LEVEL. And YOU MUST TAKE HELP FROM YOUR SCHOOL MATHS TEACHER.
Profile Photo
My
0 0
View Comments7
Can any one tell me what is the package of crash course for IIT mains including physics, chemistry and maths.
PROGRAM FOCUS & OBJECTIVES Crash Course for AIEEE++, 2012 is designed in such a way that it would help in plugging loopholes, clear stumbling blocks and tone up your skill. Besides this the program will...
Profile Photo
Divya
Is pi is greater than or less than 22/7?.
Actually pi is less than 22/7. You can prove it by solving this problem.
Profile Photo
Manisha

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Studying mathematics and related subjects
learning mathematical concepts requires two preconditions - that you understand and write rigorous proofs for even simple concepts and that you understand it intuitively. If either you didnt develop an...
Profile Photo

Innovation: A State-of-the-Science
Innovation research has flourished over the last 30 years. Innovative approaches which might formerly have been seen as inappropriate and disrespectful, have become increasingly sought by organizations...
Profile Photo

Biotechnology
Hi, We all know that only GOD possesses the power of creation, maintenance, and destruction but do you know that there is an enzyme which possesses power similar to GOD (i.e. creation, maintenance, and...
Profile Photo

Cytoplasmic Inheritance
Cytoplasmic Inheritance: Mitochondria and chloroplasts are semiautonomous organelles in eukaryotic organisms that contain DNA. Both mtDNA and cpDNA encode some but not all of the information needed for...
Profile Photo

OOPS: Polymorphism
Polymorphism:Polymorphism (from the Greek meaning "having multiple forms") is the characteristic of being able to assign a different meaning or usage to something in different contexts - specifically,...
Profile Photo

Recommended Articles

E-learning is not just about delivering lessons online. It has a much broader scope that goes beyond manual paper or PowerPoint Presentations. To understand the reach of E-learning and how the whole process works in developing the Educational system, we will discuss a few points here. Let us find out how this new learning...

Read full article >

Once over with the tenth board exams, a heavy percentage of students remain confused between the three academic streams they have to choose from - science, arts or commerce. Some are confident enough to take a call on this much in advance. But there is no worry if as a student you take time to make choice between - science,...

Read full article >

Learning for every child starts from a very young age. While the formal methods include school curriculums and private lessons, the informal methods include dancing, music, drawing, and various fun-filling activities. Playing games and practising these types of activities helps the children get out of boredom and...

Read full article >

Appearing for exams could be stressful for students. Even though they might have prepared well, they could suffer from anxiety, tension etc. These are not good for their health and mind. However, following a few exam preparation tips can save them from all these and help them to score good marks. Let’s find out all...

Read full article >

Looking for BSc Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you