Question

[Lê Thị Trà My]

Tính :

( 1 - 1/2 ) x ( 1 - 1/3 ) x ( 1 - 1/4 ) x ... x ( 1 - 1/99 ) x ( 1 - 1/100 )

Answer 1

[Phan Nghĩa]

Làm lại.

Giải:

\(=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}...\frac{99}{100}\)

\(=\frac{1\times2\times3\times4\times...\times99}{2\times3\times4\times5\times6\times...\times100}\)

\(=\frac{1}{100}\)

Answer 2

[Phan Nghĩa]

\(=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}...\frac{99}{100}\)

\(=\frac{1.2.3.4...99}{2.3.4.5.6...100}\)

\(=\frac{1}{100}\)