\(\dfrac{1}{2}\times\dfrac{2}{3}\times\dfrac{3}{4}\times\dfrac{4}{5}\times100\)
\(=\dfrac{1}{2}\times\dfrac{2}{3}\times\dfrac{3}{4}\times\dfrac{4}{5}\times\dfrac{100}{1}\)
\(=\dfrac{1\times2\times3\times4\times100}{2\times3\times4\times5\times1}\)
\(=\dfrac{100}{5}\)
\(=20\)