Toán Lớp 6: (1-1/2)x(1-1/3)x(1-1/4)x…x(1-1/99)x(1-1/100)

2 bình luận về “Toán Lớp 6: (1-1/2)x(1-1/3)x(1-1/4)x…x(1-1/99)x(1-1/100)”

1. (1-1/2)xx(1-1/3)xx(1-1/4)xx…xx(1-1/99)xx(1-1/100)

   =(2/2-1/2)xx(3/3-1/3)xx(4/4-1/4)xx…xx(99/99-1/99)xx(100/100-1/100)

   =1/2xx2/3xx3/4xx…xx98/99xx99/100

   =(1xx2xx3xx…xx98xx99)/(2xx3xx4xx…xx100)

   =1/100

   Trả lời
2. $$\begin{gathered} (1–\frac{1}{2}) x(1–\frac{1}{3})x(1–\frac{1}{4}) x.....(1–\frac{1}{99})x (1–\frac{1}{100}) \\ =\frac{1}{2} x \frac{2}{3 } x \frac{3}{4}x....x\frac{98}{99} x \frac{99}{100} \\ =\frac{1 x 2 x 3 x.....x 98 x 99}{2 x 3 x 4 x..... x 99 x 100} \\ = \frac{1}{100} \end{gathered}$$

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   Trả lời