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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