cm a mm convertidor - Centímetro a Milímetro

Conversion derivation

Express both cm and mm in the same base unit m (meter), then cancel the shared base unit.

1. 1

   Rewrite cm in the base unit

   $$1\mathrm{cm}=0.01\mathrm{m}$$
2. 2

   Rewrite mm in the base unit

   $$1\mathrm{mm}=0.001\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cm}& =\frac{0.01\cancel{\mathrm{m}}}{0.001\cancel{\mathrm{m}}}\times 1\mathrm{mm}\\ & =\frac{0.01}{0.001}\mathrm{mm}\\ & =10\mathrm{mm}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{mm}& =\frac{0.001\cancel{\mathrm{m}}}{0.01\cancel{\mathrm{m}}}\times 1\mathrm{cm}\\ & =\frac{0.001}{0.01}\mathrm{cm}\\ & =0.1\mathrm{cm}\end{array}$$