If a * b = 10ab on Q^{+},then find the invers | vedclass

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(A) Let $e$ be the identity element for the operation $*$.By definition,$a * e = a = e * a$.Given $a * b = 10ab$,we have $10ae = a$.Since $a \in Q^{+}

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$1$

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(A) Let $e$ be the identity element for the operation $*$.By definition,$a * e = a = e * a$.Given $a * b = 10ab$,we have $10ae = a$.Since $a \in Q^{+}$,$a 
eq 0$,so $10e = 1$,which gives $e = \frac{1}{10}$.Let $a^{\prime}$ be the inverse of $0.01$.By definition,$0.01 * a^{\prime} = e$.Substituting the values,$10 	imes 0.01 	imes a^{\prime} = \frac{1}{10}$.$10 	imes \frac{1}{100} 	imes a^{\prime} = \frac{1}{10}$.$0.1 	imes a^{\prime} = 0.1$.Therefore,$a^{\prime} = 1$.

$^*$	$1$	$2$	$3$	$4$	$5$
$1$	$1$	$1$	$1$	$1$	$1$
$2$	$1$	$2$	$2$	$2$	$2$
$3$	$1$	$2$	$3$	$3$	$3$
$4$	$1$	$2$	$3$	$4$	$4$
$5$	$1$	$2$	$3$	$4$	$5$

If $a * b = 10ab$ on $Q^{+}$,then find the inverse of $0.01$.

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If $a * b = 10ab$ on $Q^{+}$,then find the inverse of $0.01$.

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