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

A. Associative property for addition:

We have to prove that,

LHS,

RHS,

∴ LHS = RHS

∴ Associative property for addition is satisfied.

B. Associative property for Subtraction:

We have to prove that,

LHS,

RHS,

∴ LHS ≠ RHS

∴ Associative property for Subtraction is not satisfied.

C. Associative property for multiplication:

We have to prove that,

LHS,

RHS,

∴ LHS= RHS

∴ Associative property for multiplication is satisfied.

D. Associative Property for division:

We have to prove that,

LHS,

RHS,

∴ LHS ≠ RHS

∴ Associative property for Divission is not satisfied.