kJ in MJ Umrechner - Kilojoule in Megajoule

Conversion derivation

Express both kJ and MJ in the same base unit J (joule), then cancel the shared base unit.

1. 1

   Rewrite kJ in the base unit

   $$1\mathrm{kJ}=1,000\mathrm{J}$$
2. 2

   Rewrite MJ in the base unit

   $$1\mathrm{MJ}=1,000,000\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{kJ}& =\frac{1,000\cancel{\mathrm{J}}}{1,000,000\cancel{\mathrm{J}}}\times 1\mathrm{MJ}\\ & =\frac{1,000}{1,000,000}\mathrm{MJ}\\ & =0.001\mathrm{MJ}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{MJ}& =\frac{1,000,000\cancel{\mathrm{J}}}{1,000\cancel{\mathrm{J}}}\times 1\mathrm{kJ}\\ & =\frac{1,000,000}{1,000}\mathrm{kJ}\\ & =1,000\mathrm{kJ}\end{array}$$