cm to km Converter - Centimeter to Kilometer

Conversion derivation

Express both cm and km 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 km in the base unit

   $$1\mathrm{km}=1,000\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cm}& =\frac{0.01\cancel{\mathrm{m}}}{1,000\cancel{\mathrm{m}}}\times 1\mathrm{km}\\ & =\frac{0.01}{1,000}\mathrm{km}\\ & =0.00001\mathrm{km}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{km}& =\frac{1,000\cancel{\mathrm{m}}}{0.01\cancel{\mathrm{m}}}\times 1\mathrm{cm}\\ & =\frac{1,000}{0.01}\mathrm{cm}\\ & =100,000\mathrm{cm}\end{array}$$