cm to um Converter - Centimeter to Micrometer

Conversion derivation

Express both cm and um 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 um in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cm}& =\frac{0.01\cancel{\mathrm{m}}}{0.000001\cancel{\mathrm{m}}}\times 1\mathrm{um}\\ & =\frac{0.01}{0.000001}\mathrm{um}\\ & =10,000\mathrm{um}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{um}& =\frac{0.000001\cancel{\mathrm{m}}}{0.01\cancel{\mathrm{m}}}\times 1\mathrm{cm}\\ & =\frac{0.000001}{0.01}\mathrm{cm}\\ & =0.0001\mathrm{cm}\end{array}$$