Let * be a binary operation on Q -{0} is defined by a* b = ab/2 for all a, b belongs to Q -{0} . Prove that * is commutative on Q -{0} .
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Let ∗ be a binary operation on N, the set of natural numbers, defined by a∗b=ab for all a,b∈N. Is
′
∗
′
associative on N?
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