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
Dislike Bookmark

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
Dislike Bookmark

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
Dislike Bookmark

Tutor

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

Mathematics Teacher

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

Mathematics Teacher

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

math

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

View 5 more Answers

Related Questions

Can I get Bsc Maths tuition in Kochi ?
Yes, you can getting by Online if you have Skype
Arjun
Proved mathematically the height of mirror be half then the height of the object to get full image in mirror.
Assume that the object (AB) height is h which is same as the image (A'B') height. CD is the mirror. We all know that angle of incidence (i) = angle of reflection (r). As a result, the path traced by...
Yogesh
0 0
View Comments7
Why HCL is a polar covalent compound?
Because Cl is electronegative in nature and attracts bonded pair of elecrons.
Mousumi
Is it necessary to go to coaching or tuition for English in class 12 CBSE?
I think those students who are studying in a CBSE schools.They won't need.
Brahma
0 0
View Comments6
Is there any benefit to take IIT coaching in class 12?
Coaching institutes play a role of facilitator , be it for iit jee or any other exam. These institutes provide a system for students and by system I mean the completion of syllabus, regular test and Assessment,...
Raj
0 0
View Comments6

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

Ask a Question

Related Lessons

lecture on calculus

Aakrsh

0 0
View Comments0
Easy ways to remember Periodic Table
You can easily remember the Periodic table by remembering some Hindi Mnemonics Group 1 is known as alkali metals. It includes Lithium (Li), Sodium (Na), Potassium (K), Rubidium (Ru), Caesium (Cs), and...

Anirban Ghosh

1 0
View Comments0
How To Prepare For Any Exam?
1. Prepare mentally yourself to give an exam. 2. Know the benifit of passing the exam it encourages you to do your best. 3. Never think about failure. 4. Be confident. 5. Watch and solve old papers. 6....
M

Mohit S.

1 0
View Comments0
B.Sc. Chemistry - Rigid Rotator.
The rigid rotor is a mechanical model that is used to explain rotating systems. It a 3-dimensional object, such as a top. To orient such an object in space 3 angles known as euler angles are required. The...

Nidhi T.

0 0
View Comments0
Some Interview Questions And Answers For Fresher Level On Pointers
What is a void pointer? Void pointer is a special type of pointer which can reference or point to any data type. This is why it is also called as Generic Pointer. As a void pointer can point to any...

Shiladitya Munshi

0 0
View Comments0

Recommended Articles

The Trend of E-learning and it’s Benefits

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 >

Science, Arts Or Commerce - Which One To Go For?

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 >

5 Engaging Activities For Children To Get...

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 >

6 Exam Hall Tips To Follow, For Every Good Student

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 >

Find BSc Tuition near you
BSc Tuition in Bangalore
BSc Tuition in Delhi
BSc Tuition in Hyderabad
BSc Tuition in Chennai
BSc Tuition in Kolkata
BSc Tuition in Mumbai
BSc Tuition in Pune
BSc Tuition in Noida
BSc Tuition in Chandigarh
BSc Tuition in Jaipur

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