inch to um Converter - Inch to Micrometer

Conversion derivation

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

1. 1

   Rewrite inch in the base unit

   $$1\mathrm{inch}=0.0254\mathrm{m}$$
2. 2

   Rewrite um in the base unit

   $$1\mathrm{um}=0.000001\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{inch}& =\frac{0.0254\cancel{\mathrm{m}}}{0.000001\cancel{\mathrm{m}}}\times 1\mathrm{um}\\ & =\frac{0.0254}{0.000001}\mathrm{um}\\ & =25,400\mathrm{um}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{um}& =\frac{0.000001\cancel{\mathrm{m}}}{0.0254\cancel{\mathrm{m}}}\times 1\mathrm{inch}\\ & =\frac{0.000001}{0.0254}\mathrm{inch}\\ & =0.000039370079\mathrm{inch}\end{array}$$