Class 7 Exam > Class 7 Questions > With respect to which of the following operat...
Start Learning for Free
With respect to which of the following operations is closure property satisfied by the set of integers?
- a)+,×
- b)+,÷,×
- c)+,×,−
- d)+,−,÷
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
With respect to which of the following operations is closure property ...
The closure property states that when you perform an operation on any two numbers in a set, the result of the computation is another number in the same set .Since division can result in changing an integer in decimals. So its closed in addition, subtraction and multplication.
Most Upvoted Answer
With respect to which of the following operations is closure property ...
Addition (+)
b) Subtraction (-)
c) Multiplication (*)
d) Division (/)
a) Addition (+) satisfies closure property for the set of integers.
Explanation:
Closure property means that the result of an operation on any two elements of the set is also an element of the same set.
For addition of integers, if we take any two integers a and b, their sum a+b is also an integer. Therefore, the set of integers satisfies closure property for addition.
However, subtraction, multiplication, and division do not satisfy closure property for all pairs of integers. For example, if we subtract 5 from 3, the result (-2) is not an integer. Similarly, if we divide 4 by 5, the result (0.8) is not an integer. Therefore, options b, c, and d do not satisfy closure property for the set of integers.
b) Subtraction (-)
c) Multiplication (*)
d) Division (/)
a) Addition (+) satisfies closure property for the set of integers.
Explanation:
Closure property means that the result of an operation on any two elements of the set is also an element of the same set.
For addition of integers, if we take any two integers a and b, their sum a+b is also an integer. Therefore, the set of integers satisfies closure property for addition.
However, subtraction, multiplication, and division do not satisfy closure property for all pairs of integers. For example, if we subtract 5 from 3, the result (-2) is not an integer. Similarly, if we divide 4 by 5, the result (0.8) is not an integer. Therefore, options b, c, and d do not satisfy closure property for the set of integers.
Free Test
FREE
| Start Free Test |
Community Answer
With respect to which of the following operations is closure property ...
Add, subtract, multiply - you'll get an integer. Divide? Sometimes you might get a fraction which is not an integer.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Top Courses for Class 7View all
With respect to which of the following operations is closure property satisfied by the set of integers?a)+,× b)+,÷,×c)+,×,− d)+,−,÷Correct answer is option 'C'. Can you explain this answer?
Question Description
With respect to which of the following operations is closure property satisfied by the set of integers?a)+,× b)+,÷,×c)+,×,− d)+,−,÷Correct answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about With respect to which of the following operations is closure property satisfied by the set of integers?a)+,× b)+,÷,×c)+,×,− d)+,−,÷Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for With respect to which of the following operations is closure property satisfied by the set of integers?a)+,× b)+,÷,×c)+,×,− d)+,−,÷Correct answer is option 'C'. Can you explain this answer?.
With respect to which of the following operations is closure property satisfied by the set of integers?a)+,× b)+,÷,×c)+,×,− d)+,−,÷Correct answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about With respect to which of the following operations is closure property satisfied by the set of integers?a)+,× b)+,÷,×c)+,×,− d)+,−,÷Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for With respect to which of the following operations is closure property satisfied by the set of integers?a)+,× b)+,÷,×c)+,×,− d)+,−,÷Correct answer is option 'C'. Can you explain this answer?.
Solutions for With respect to which of the following operations is closure property satisfied by the set of integers?a)+,× b)+,÷,×c)+,×,− d)+,−,÷Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of With respect to which of the following operations is closure property satisfied by the set of integers?a)+,× b)+,÷,×c)+,×,− d)+,−,÷Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
With respect to which of the following operations is closure property satisfied by the set of integers?a)+,× b)+,÷,×c)+,×,− d)+,−,÷Correct answer is option 'C'. Can you explain this answer?, a detailed solution for With respect to which of the following operations is closure property satisfied by the set of integers?a)+,× b)+,÷,×c)+,×,− d)+,−,÷Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of With respect to which of the following operations is closure property satisfied by the set of integers?a)+,× b)+,÷,×c)+,×,− d)+,−,÷Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice With respect to which of the following operations is closure property satisfied by the set of integers?a)+,× b)+,÷,×c)+,×,− d)+,−,÷Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup