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The numbers are forces and he wants us to put them in a ratio in order to compare them, but I'm really bad at ratios so.

$ 2.69 \cdot 10^{-8} $ Newtons is obviously smaller than $ 2.23 \cdot 10^{-7} $ Newtons, but how can that be expressed in a ratio?

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  • $\begingroup$ $\left(2.69 \cdot 10^{-8}\right)/\left(2.23 \cdot 10^{-7}\right)$? $\endgroup$ – user61527 Nov 15 '13 at 2:26
  • $\begingroup$ Is it really that simple? $\endgroup$ – Paige Nov 15 '13 at 2:26
  • $\begingroup$ If you want a ratio, why not just divide? $\endgroup$ – user61527 Nov 15 '13 at 2:26
  • $\begingroup$ The scientific notation scared me I guess. I've never been good at math like that, I don't really understand why I chose physics instead of chemistry. $\endgroup$ – Paige Nov 15 '13 at 2:28
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    $\begingroup$ $\frac{0.0000000269}{0.000000223}$ = $\frac{269}{2230}$ $\endgroup$ – Steve ODonnell Nov 15 '13 at 2:48
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Making this an answer: You would do the same thing with scientific notation that you would do with integers or any other reals. $$ \dfrac {a \cdot 10^p}{b \cdot 10^q} = \dfrac {a}{b} \cdot 10^{p-q}. $$Here, we have $$ \dfrac {2.69 \cdot 10^{-8}}{2.23 \cdot 10^{-7}} = \dfrac {2.69}{2.23} \cdot 10^{-1} = \dfrac {269}{2230}. $$

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