nm vers mile convertisseur - Nanomètre vers Mille

Conversion derivation

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

1. 1

   Rewrite nm in the base unit

   $$1\mathrm{nm}=1\times 10^{-9}\mathrm{m}$$
2. 2

   Rewrite mile in the base unit

   $$1\mathrm{mile}=1,609.344\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{nm}& =\frac{1\times 10^{-9}\cancel{\mathrm{m}}}{1,609.344\cancel{\mathrm{m}}}\times 1\mathrm{mile}\\ & =\frac{1\times 10^{-9}}{1,609.344}\mathrm{mile}\\ & =6.21371192\times 10^{-13}\mathrm{mile}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{mile}& =\frac{1,609.344\cancel{\mathrm{m}}}{1\times 10^{-9}\cancel{\mathrm{m}}}\times 1\mathrm{nm}\\ & =\frac{1,609.344}{1\times 10^{-9}}\mathrm{nm}\\ & =1.609344\times 10^{12}\mathrm{nm}\end{array}$$