km in m Umrechner - Kilometer in Meter

Conversion derivation

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

1. 1

   Rewrite km in the base unit

   $$1\mathrm{km}=1,000\mathrm{m}$$
2. 2

   Rewrite m in the base unit

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

   Forward conversion

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

   Reverse conversion

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