Question

If zero is excluded from the set of rational numbers, then closure property holds true for the operations of

• A. multiplication
• B. division
• C. subtraction
• D. addition

Answer 1

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

The correct options are
A multiplication
B division
C subtraction
D addition

We know that rational numbers are closed under $\text{addition, subtraction}$ and $\text{multiplication}$.

In case of division, if $0$ is excluded from the set of rational number then they are closed under division too.

This is because, for any rational number $"a",a÷0$ is not a rational number.

Thus, in general, if $0$ is excluded from the set of rational numbers, then closure property holds true for all the four basic operations.