The set of rational numbers Q is CLOSED under all of the following operations EXCEPT:
AAddition of any two rationals
BDivision by zero
CMultiplication of any two rationals
DSubtraction of any two rationals
Answer & Solution
Correct answer: B. Division by zero
Rationals are closed under addition, subtraction, multiplication, and division (provided you do not divide by zero).
Division BY zero is undefined and breaks closure.
Keep practising Number Systems
Browse all Number Systems questions for CBSE Class 9, or explore more Mathematics topics.
Related questions
The set of INTEGERS is denoted by the symbol:How many rational numbers are there between any two distinct rationals?Compute (-3/5) × (10/9):Which of the following can be written as a rational p/q in lowest terms with q having ONLYThe difference between two positive integers is 63, and they are in the ratio 2:5. The smaSalil's mother is currently three times Salil's age. After 5 years, their ages will add upFind the value of the linear polynomial 5x − 3 at x = −1:What is the degree of the polynomial 5y³ + y² + 2y − 1?