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

What is macro functions in c language?
Is used to define function in c like #define f(x,y)=x+y
Mahesh
0 0
8
Will the JEE coaching fulfill the requirement for the class 12?
Yes it will. Since the concepts are made stronger it helps. But the student should also have the time management skill to prepare the answers to answer the way CBSE expects
Millennium
0 0
5
Is there a central website to help research colleges in bangalore? if not, any other suggestion to help research colleges
www.santoshifamily.com for mathematics
Aravindh
Is coaching important for the class 12 science exam?
No need. The thing is you must have basics and be upto date in reading and learning. Just need a compressuve reading of lessons as many times as possible and practice bits questions. It is enough to get good result.
Mrinal Kanti
0 0
5
What is a machine?
A machine is a tool containing one or more parts that uses energy to perform an intended action. Machines are usually powered by chemical, thermal, or electrical means, and are often motorized.
Sumit

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

Ask a Question

Related Lessons

What Are The Two Forms Of #Include?
There are two variants of #include. The one is #include and the other one is #include”file”. In general the first form that is #include is used to include system defined header files which...

Shiladitya Munshi

0 0
0
A Tutorial On Dynamic Programming
What is Dynamic Programming? Dynamic Programming, DP in short, is an intelligent way of solving a special type of complex problems which otherwise would hardly be solved in realistic time frame. What...

Shiladitya Munshi

0 0
0
CSS awesome tips
CSS - Cascading Style Sheet is used to beautify Web pages and there are some common things which are very basic yet conceptual and very important for development. So here are some of the important tips...

Partha Roy

0 0
0
Principles of Inheritance and Variations

Kalpita

0 0
0
Unusual Properties of Water
The unusual properties of water are due to the strong attractions between adjacent water molecules, which gives the water great cohesion. It also has adhesion properties to other molecules. Each hydrogen...

Surekha T.

0 0
0

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 Gurgaon
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