day to ms Converter - Day to Millisecond

Conversion derivation

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

1. 1

   Rewrite day in the base unit

   $$1\mathrm{day}=86,400\mathrm{s}$$
2. 2

   Rewrite ms in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{day}& =\frac{86,400\cancel{\mathrm{s}}}{0.001\cancel{\mathrm{s}}}\times 1\mathrm{ms}\\ & =\frac{86,400}{0.001}\mathrm{ms}\\ & =86,400,000\mathrm{ms}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{ms}& =\frac{0.001\cancel{\mathrm{s}}}{86,400\cancel{\mathrm{s}}}\times 1\mathrm{day}\\ & =\frac{0.001}{86,400}\mathrm{day}\\ & =1.15740741\times 10^{-8}\mathrm{day}\end{array}$$