erg vers MJ convertisseur - Erg vers Megajoule

Conversion derivation

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

1. 1

   Rewrite erg in the base unit

   $$1\mathrm{erg}=1\times 10^{-7}\mathrm{J}$$
2. 2

   Rewrite MJ in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{erg}& =\frac{1\times 10^{-7}\cancel{\mathrm{J}}}{1,000,000\cancel{\mathrm{J}}}\times 1\mathrm{MJ}\\ & =\frac{1\times 10^{-7}}{1,000,000}\mathrm{MJ}\\ & =1\times 10^{-13}\mathrm{MJ}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{MJ}& =\frac{1,000,000\cancel{\mathrm{J}}}{1\times 10^{-7}\cancel{\mathrm{J}}}\times 1\mathrm{erg}\\ & =\frac{1,000,000}{1\times 10^{-7}}\mathrm{erg}\\ & =1\times 10^{13}\mathrm{erg}\end{array}$$