Question

Tính : 1/100.99 - 1/99.98 - 1/98.99 ... - 1/3.2 - 1/ 2.1

Answer 1

\(\frac{1}{100.99}-\frac{1}{99.98}-\frac{1}{98.97}-....-\frac{1}{2.1}\)

=\(-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{99.100}\right)\)

=\(-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{99}-\frac{1}{100}\right)\)

=\(-\left(1-\frac{1}{100}\right)\)

=\(\frac{-99}{100}\)

Answer 2

A=1/100.99 - 1/99.98 - 1/98.97 -...- 1/3.2 - 1/2.1

A=   - (1/100.99 + 1/99.98 + 1/98.97 +...+ 1/3.2 + 1/2.1)

A=   - (1/2.1+1/3.2 +...+1/98.97+ 1/99.98 +1/100.99 )

A=   - (1/1.2+1/2.3+1/3.4+...+1/97.98+ 1/98.99 +1/99.100)

A=   - (1/1-1/2+1/2-1/3+1/3......-1/98+1/98-1/99+1/99-1/100)

A=   - (1/1-1/100)

A=   - 99/100

Answer 3

Bạn xem ở đây nhé ! Bạn Đặng Phương Thảo copy ở đó đấy !          

Answer 4

-99/100

Answer 5

-99/100