Question

thực hiện phép tính

\(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right)...\left(1-\frac{1}{10}\right)\)

Answer 1

Ta có : 

\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right).....\left(1-\frac{1}{10}\right)\)

\(=\)\(\frac{2-1}{2}.\frac{3-1}{3}.....\frac{10-1}{10}\)

\(=\)\(\frac{1}{2}.\frac{2}{3}.....\frac{9}{10}\)

\(=\)\(\frac{1.2.....9}{2.3.....10}\)

\(=\)\(\frac{2.3.....9}{2.3.....9}.\frac{1}{10}\)

\(=\)\(\frac{1}{10}\)

Vậy \(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right).....\left(1-\frac{1}{10}\right)\)

Chúc bạn học tốt ~ 

Answer 2

=1/2 . 2/3 ....... 9/10

=1.2.3......9/2.3.4........10

=1/10

Chúc bạn học tốt

Answer 3

=\(\frac{1}{2}.\frac{2}{3}...\frac{9}{10}\)

=\(\frac{1}{10}\)

Answer 4

\(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).....\left(1-\frac{1}{10}\right)\)

\(\Rightarrow1.\frac{1}{2}.\frac{1}{9}\)

\(\Rightarrow1.\frac{1}{18}\)

\(\Rightarrow\frac{1}{18}\)

Answer 5

\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{9}{10}\)

\(=\frac{1.2.3...9}{2.3.4...10}=\frac{1}{10}\)