
Integers is not closed under -
(A) Addition
(B) Subtraction
(C) Multiplication
(D) None of these
Answer
509.4k+ views
Hint :- Integers :- Make use of the definition of integers which says that includes all the negative and non negative whole numbers but not decimals
............. -3 -2 -1 0 1 2 3 4.............
Complete step by step solution
The integers closed under addition, multiplication and subtraction, but not under division because
when you divide one integer by another, you don’t always get another integer.
For example :- and both are integers, but is not an integer.
Step – I
If we take any two integers, we multiply those integers; the result is also an integer. Hence, we can say that integers are closed under multiplication.
integer
Step – II
You had also seen the operation of addition so it we add
For example :- addition
Step – III
You had also seen the operation of subtraction so it we subtract
So (D) None of these is the right answer.
Note: In this question we were asked about integers;in case if the condition has been asked for any other set of numbers,(Real numbers,rational etc…)then solve it according to the condition given and give the answer.
Complete step by step solution
The integers closed under addition, multiplication and subtraction, but not under division because
when you divide one integer by another, you don’t always get another integer.
For example :-
Step – I
If we take any two integers, we multiply those integers; the result is also an integer. Hence, we can say that integers are closed under multiplication.
Step – II
You had also seen the operation of addition so it we add
For example :- addition
Step – III
You had also seen the operation of subtraction so it we subtract
So (D) None of these is the right answer.
Note: In this question we were asked about integers;in case if the condition has been asked for any other set of numbers,(Real numbers,rational etc…)then solve it according to the condition given and give the answer.
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
Gautam Buddha was born in the year A581 BC B563 BC class 10 social science CBSE

Write examples of herbivores carnivores and omnivo class 10 biology CBSE

Difference between mass and weight class 10 physics CBSE

List out three methods of soil conservation

Leap year has days A 365 B 366 C 367 D 368 class 10 maths CBSE

How does Tommy describe the old kind of school class 10 english CBSE
