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Question

For each pair of rational numbers, given below, verify that the multiplicatin is commutative :(i) 15 and 29(ii) 53 and 1311(iii) 3 and 89(iv) 0 and 1217

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Solution

(i) 15 and 2915×29=(1)×29×5=245And,29×(15)=2×(1)9×5=24515×29=29×15(ii) 53 and 131153×1311=5×13(3)×(11)=6533And,1311×53=13×5(3)×(11)=653353×1311=1311×53(iii) 3 and 8931×89=1×(8)1×3=83And,89×31=(8)×13×1=833×89=89×3(iv) 0 and 1217=0×1217=0×(12)1×17=0And1217×0=(12)×017×1=00×(12)17=(12)17×0


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