cm a nm convertidor - Centímetro a Nanómetro

Conversion derivation

Express both cm and nm 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 nm in the base unit

   $$1\mathrm{nm}=1\times 10^{-9}\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cm}& =\frac{0.01\cancel{\mathrm{m}}}{1\times 10^{-9}\cancel{\mathrm{m}}}\times 1\mathrm{nm}\\ & =\frac{0.01}{1\times 10^{-9}}\mathrm{nm}\\ & =10,000,000\mathrm{nm}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{nm}& =\frac{1\times 10^{-9}\cancel{\mathrm{m}}}{0.01\cancel{\mathrm{m}}}\times 1\mathrm{cm}\\ & =\frac{1\times 10^{-9}}{0.01}\mathrm{cm}\\ & =1\times 10^{-7}\mathrm{cm}\end{array}$$