t vers mg convertisseur - Tonne Métrique vers Milligramme

Conversion derivation

Express both t and mg in the same base unit kg (kilogram), then cancel the shared base unit.

1. 1

   Rewrite t in the base unit

   $$1\mathrm{t}=1,000\mathrm{kg}$$
2. 2

   Rewrite mg in the base unit

   $$1\mathrm{mg}=0.000001\mathrm{kg}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{t}& =\frac{1,000\cancel{\mathrm{kg}}}{0.000001\cancel{\mathrm{kg}}}\times 1\mathrm{mg}\\ & =\frac{1,000}{0.000001}\mathrm{mg}\\ & =1\times 10^9\mathrm{mg}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{mg}& =\frac{0.000001\cancel{\mathrm{kg}}}{1,000\cancel{\mathrm{kg}}}\times 1\mathrm{t}\\ & =\frac{0.000001}{1,000}\mathrm{t}\\ & =1\times 10^{-9}\mathrm{t}\end{array}$$