um to mm Converter - Micrometer to Millimeter

Conversion derivation

Express both um and mm 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 mm in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{um}& =\frac{0.000001\cancel{\mathrm{m}}}{0.001\cancel{\mathrm{m}}}\times 1\mathrm{mm}\\ & =\frac{0.000001}{0.001}\mathrm{mm}\\ & =0.001\mathrm{mm}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{mm}& =\frac{0.001\cancel{\mathrm{m}}}{0.000001\cancel{\mathrm{m}}}\times 1\mathrm{um}\\ & =\frac{0.001}{0.000001}\mathrm{um}\\ & =1,000\mathrm{um}\end{array}$$