Use two unit multipliers to convert 1000 mm² to square centimeters.

Use two unit multipliers to convert 1000 mm² to square centimeters.

$$\small{\text{$
\begin{array}{lcl}
1000~mm^2\cdot \left( \dfrac{1~cm}{10~mm} \right)\cdot \left( \dfrac{1~cm}{10~mm} \right) \\\\
&=&\dfrac{1000}{10\cdot 10} ~cm^2\\\\
&=&\dfrac{1000}{100} ~cm^2\\\\
&=&10 ~cm^2\\\\
\end{array}
$}}$$

Use two unit multipliers to convert 1000 mm² to square centimeters.

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First, write down known facts:>     1cm² = 100mm²

Second, using these  facts create a pair of unit multipliers:>      1cm² / 100mm²      or      100mm² / 1cm²

Third, go ahead with the unit conversion:>

                                     1000mm² / 1  x  1cm² /100mm²  = 1000cm² / 100 = 10cm²

As you can see,  1000mm²  has been turned into a fraction by dividing it by 1; then that fraction is multiplied  by adequate unit multiplier, the one that has   mm²   in its denominator.

I hope this can help...

@heureka:/  Thanks for correcting me.  That's the right one!!!