Warum wird aus 1/(2x10^-3) = (10^3)/2 ?

$${{\mathtt{10}}}^{-{\mathtt{3}}}$$ ist ja $${\frac{{\mathtt{1}}}{\left({{\mathtt{10}}}^{{\mathtt{3}}}\right)}}$$  

und 1/  $${\frac{{\mathtt{1}}}{{{\mathtt{10}}}^{{\mathtt{3}}}}}$$   ist    $${{\mathtt{10}}}^{{\mathtt{3}}}$$

also ist  $${\frac{{\mathtt{1}}}{\left({\mathtt{2}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{-{\mathtt{3}}}\right)}}$$  das Gleiche wie   $${\frac{{{\mathtt{10}}}^{{\mathtt{3}}}}{{\mathtt{2}}}}$$

LG Kendra :)

Hallo "Anonymous",

1/(2*10^(-3) = 1/2 * 1/10^(-3) = 1/2 * 10^3 = 10^3/2= 1000/2 =500

10^(-3)= 1/10^3        ;    1/10^(-3) = 10^3

$${\frac{{\mathtt{1}}}{\left({\mathtt{2}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{\left(-{\mathtt{3}}\right)}\right)}} = {\mathtt{500}}$$

$${{\mathtt{10}}}^{\left(-{\mathtt{3}}\right)} = {\frac{{\mathtt{1}}}{{\mathtt{1\,000}}}} = {\mathtt{0.001}}$$

$${\frac{{\mathtt{1}}}{{{\mathtt{10}}}^{\left(-{\mathtt{3}}\right)}}} = {\mathtt{1\,000}}$$  

Ich hoffe, dass dir diese Beispiele weiter helfen.

Gruß radix !

Ah dankesehr an euch beide :)

Hat mir sehr weitergeholfen.

Mfg Martin