g a t convertitore - Grammo a Tonnellata

Conversion derivation

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

1. 1

   Rewrite g in the base unit

   $$1\mathrm{g}=0.001\mathrm{kg}$$
2. 2

   Rewrite t in the base unit

   $$1\mathrm{t}=1,000\mathrm{kg}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{g}& =\frac{0.001\cancel{\mathrm{kg}}}{1,000\cancel{\mathrm{kg}}}\times 1\mathrm{t}\\ & =\frac{0.001}{1,000}\mathrm{t}\\ & =0.000001\mathrm{t}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{t}& =\frac{1,000\cancel{\mathrm{kg}}}{0.001\cancel{\mathrm{kg}}}\times 1\mathrm{g}\\ & =\frac{1,000}{0.001}\mathrm{g}\\ & =1,000,000\mathrm{g}\end{array}$$