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

Time of the phone call is modeled with the expoential r.v with mean 12 minutes. calculate the probability that the call will last longer than half an hour.
e^(-2.5) =0.082
Balaprasad
How to get training for taking up online classes?
There are many applications like skype, netmeeting, hangout, webex etc. You can choose any one and start online classes.
Sharada K.
How does the creative arts help the learners to learn English?
Creative are make concept is long time you remember and is practical work make complite undestanding.
Fokhar
1 1
9
Looking for a computer programming expert.
Geetha, I can help you in Theory of computation. You need to study automata, pda, regular expression, turing machines. These are not tough topics. A good educator can help you understand these topics in...
Geetha
0 0
6
Normal name of LED?
A light-emitting diode (LED) in which the emissive electroluminescent layer is a film of organic compound that emits light in response to an electric current.
Sirigiri

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

Ask a Question

Related Lessons

AGRICULTURAL ECONOMICS
R

Richa M.

0 0
0
class 12

Vikas Mehra

0 0
0
Magic in C=> OFFSET OF MACRO in C [offsetof(TYPE, MEMBER)]
Here I am going to discuss an exciting macro in C. It will give you offset of a member within a structure. NULL or 0 address is typecasted to TYPE first. It won't result in segmentation fault as we are...

Jyotishkar D.

1 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
Chemistry Fluorocarbons
What are fluorocarbons? Give their method of preparation, properties and commercial applications Fluorocarbons, sometimes referred to as perfluorocarbons or PFCs, i.e. they contain only C and F, though...

Nidhi 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 Lucknow
BSc Tuition in Gurgaon

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