h a ms convertitore - Ora a Millisecondo

Conversion derivation

Express both h and ms in the same base unit s (second), then cancel the shared base unit.

1. 1

   Rewrite h in the base unit

   $$1\mathrm{h}=3,600\mathrm{s}$$
2. 2

   Rewrite ms in the base unit

   $$1\mathrm{ms}=0.001\mathrm{s}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{h}& =\frac{3,600\cancel{\mathrm{s}}}{0.001\cancel{\mathrm{s}}}\times 1\mathrm{ms}\\ & =\frac{3,600}{0.001}\mathrm{ms}\\ & =3,600,000\mathrm{ms}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{ms}& =\frac{0.001\cancel{\mathrm{s}}}{3,600\cancel{\mathrm{s}}}\times 1\mathrm{h}\\ & =\frac{0.001}{3,600}\mathrm{h}\\ & =2.77777778\times 10^{-7}\mathrm{h}\end{array}$$