J a kJ convertitore - Joule a Kilojoule

Conversion derivation

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

1. 1

   Rewrite J in the base unit

   $$1\mathrm{J}=1\mathrm{J}$$
2. 2

   Rewrite kJ in the base unit

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

   Forward conversion

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

   Reverse conversion

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