Q. 5 A4.0( 4 Votes )

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

Answer :

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 Division is not satisfied.

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