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

Asked by Last Modified  

7 Answers

Learn BSc Tuition

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

How can I prepare for physical chemistry of class 12 without any coaching?
Physical chemistry, like any other stream of study, requires intricate interlinked study for proper understanding.For example,the concept of vapour pressure in the " solutions" chapter can be well fathomed...
Prabhu
0 0
6
Which book is referred for electromagnetics?
Introduction to Electrodynamics by David Griffiths
Menakshi
I want to start teaching for AutoCAD and 3ds max. how would that be possible?
If you plan to teach Autocad in person then it is easy. For online course your students and you both should have high speed broadband of minimum 10MBPS speed.
Shivangi
Anyone looking for Abacus Franchise?
No..Madam just I want to take classes at my residence/Online/Home Tutions
Deepika
What is embolism?
An embolism is the lodging of an embolus, which may be a blood clot, fat globule, gas bubble or foreign material in the bloodstream. This can cause a blockage in a blood vessel.
Balendra
0 0
5

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

Ask a Question

Related Lessons

The Coming Energy Revolution
Not Ethanol, not wind, not solar; none of the known & popular renewable alternatives, but rather a hydrogen based energy source. Is it LENR (Low Energy Nuclear Reactions)? Is it Fuel Cells? Is it a...

Raaj Santosh

1 0
0
Textile water waste treatment
extile wastewater purification: The textile industry is rated as one of the most polluting and chemically intensive industrial sectors (Uzal, 2015). -Chemicals like acids, alkalis, colours, high BOD/COD...

Biju G.

0 0
0
Cultivate the habit of writing whatever you have studied.
Reading is a must and very important but periodically write down what you have learned in your own words. This is really very helpful when you are preparing for the exams. Try to derive equations (Physics,...

Sivakumar

0 0
0
Key to Success in Mathematics
Following are keys to success in any mathematics exam: 1. Learn how formulas are derived. 2. Types of Interpretations of formulas. 3. Selected Examples to represent types of problems. 4. Good books...

Nilaish

0 0
0
Newton’s Laws Of Motion
Newton’s first law of motion states that a body continues to be in a state of rest or of uniform motion in a straight line unless it is acted upon by a net external force. Newton’s second...

Kamal Kumar

3 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 Lucknow
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