Question

Which operation is commutative for rational numbers?

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

Answer 1

Answer: (A), (C)

The correct options are
A Addition
C Multiplication

An operation is commutative if changing the order of operands does not change the result.

Addition and multiplication are commutative for Rational numbers.

$\text{For example,}$ $\frac{2}{3}+\frac{3}{2}=\frac{13}{6}$

and $\frac{3}{2}+\frac{2}{3}=\frac{13}{6}$
So addition is commutative.
Subtraction: $\frac{2}{3}-\frac{3}{2}=\frac{-5}{6}$

$\frac{3}{2}-\frac{2}{3}=\frac{5}{6}$
As we can see subtraction is not commutative.
Similarly, we can do for multiplication and division and check that multiplication is commutative while division is not.