Question

Which of the following properties does not hold good for division of integers?

• A. Closure property
• B. Commutative property
• C. Associative property
• D. Distributive property

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A Closure property
B Commutative property
C Associative property
D Distributive property

Division is not closed, as division by zero is undefined.
Division is not commutative, as $\frac{1}{2}$ is not same as $\frac{2}{1}$.
Division is not associative, as $\frac{\left(1/2\right)}{3}$ is not the same as $\frac{1}{\left(2/3\right)}$.
Division is not distributive, as $1/(2+2)\ne \frac{1}{2}+\frac{1}{2}$