Question

Which of these operations does not obey closure property for integers?

• A. Addition
• B. Subtraction
• C. Multiplication
• D. Division

Answer 1

The correct option is D Division

Closure property is not valid for division.
That is if a and b are integers then $\frac{a}{b}$ may not be an integer.
Example: 3 and 6 are integers. But $\frac{3}{6}=0.5$, which is not an integer.

$\therefore$ Integers are not closed under division.