Verify whether commutative property is satisfied for addition, subtraction, multiplication and division of the following pairs of rational numbers.

4 and

A. Commutative property for addition:

We have to prove,

⇒ 4 + 2/5 = 2/5 + 4

LHS,

RHS,

∴ LHS= RHS

∴ Commutative property for addition is satisfied.

B. Commutative property for subtraction:

We have to prove,

⇒ 4 – 2/5 = 2/5 – 4

LHS,

RHS,

∴ LHS ≠ RHS

∴ Commutative property for subtraction is not satisfied.

C. Commutative property for multiplication:

We have to prove,

⇒ 4 × 2/5 = 2/5 × 4

LHS,

RHS,

∴ LHS= RHS

∴ Commutative property for multiplication is satisfied.

D. Commutative property for division:

We have to prove that,

LHS,

⇒ 10

RHS,

∴ LHS ≠ RHS

∴ Commutative property for division is not satisfied.