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Question

Verify whether the given statement is true or false:
(i) 59÷13÷52=59÷13÷52
(ii) -16÷65÷-910=-16÷65÷-910
(iii) -35÷-1235÷114=-35÷-1235÷14

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Solution

(i)(59÷13)÷52=59÷(13÷52)LHS(59÷13)÷52=(59×31)×25=5×3×29×1×5=3045=23RHS59÷13÷52=59÷13×25=59÷215=59×152 =7518=256LHSRHSFALSE

​(ii)
[(-16)÷65]÷-910=(-16)÷[65÷-910]LHS=[(-16)÷65]÷-910=[(-16)×56]×10-9=(-16)×5×106×(-9)=80054=40027RHS(-16)÷(65÷-910)=(-16)÷(65×10-9)=-16÷-6045=-16×-4560=-16×-34=484=12LHS RHSFALSE

(iii)
(-35÷-1235)÷114=-35÷(-1235÷14)LHS=(-35×35-12)×14=(-3)×35×145×(-12)=147060=492RHS=-35÷(-1235÷14)=-35÷(-1235×41)=-35÷(-12×435)=-35÷(-4835)=-35×35-48=3×355×48=105240=716LHSRHSFALSE

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