um a nm convertitore - Micrometro a Nanometro

Conversion derivation

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

1. 1

   Rewrite um in the base unit

   $$1\mathrm{um}=0.000001\mathrm{m}$$
2. 2

   Rewrite nm in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{um}& =\frac{0.000001\cancel{\mathrm{m}}}{1\times 10^{-9}\cancel{\mathrm{m}}}\times 1\mathrm{nm}\\ & =\frac{0.000001}{1\times 10^{-9}}\mathrm{nm}\\ & =1,000\mathrm{nm}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{nm}& =\frac{1\times 10^{-9}\cancel{\mathrm{m}}}{0.000001\cancel{\mathrm{m}}}\times 1\mathrm{um}\\ & =\frac{1\times 10^{-9}}{0.000001}\mathrm{um}\\ & =0.001\mathrm{um}\end{array}$$