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\(\left(1-\dfrac{1}{6}\right)\times\left(1-\dfrac{1}{7}\right)\times\left(1-\dfrac{1}{8}\right)\times\left(1-\dfrac{1}{9}\right)\times\left(1-\dfrac{1}{10}\right)\)
\(=\left(\dfrac{6}{6}-\dfrac{1}{6}\right)\times\left(\dfrac{7}{7}-\dfrac{1}{7}\right)\times\left(\dfrac{8}{8}-\dfrac{1}{8}\right)\times\left(\dfrac{9}{9}-\dfrac{1}{9}\right)\times\left(\dfrac{10}{10}-\dfrac{1}{10}\right)\)
\(=\dfrac{5}{6}\times\dfrac{6}{7}\times\dfrac{7}{8}\times\dfrac{8}{9}\times\dfrac{9}{10}\)
\(=\dfrac{5\times6\times7\times8\times9}{6\times7\times8\times9\times10}=\dfrac{5}{10}=\dfrac{1}{2}\)
\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times...\times\left(1-\frac{1}{10}\right)\)
\(=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...\times\frac{9}{10}\)
\(=\frac{1}{10}\)
\(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{10}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.....\frac{9}{10}\)
\(=\frac{1.2.3....9}{2.3.4...10}=\frac{1}{10}\)
Ủng hộ mk nha !!! ^_^
Ta có: \(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).....\left(1-\frac{1}{10}\right)\)
\(\Rightarrow\frac{1}{2}.\frac{2}{3}....\frac{9}{10}\)\(=\frac{1.2.3....9}{2.3...10}=\frac{1}{10}\)
Ủng hộ tớ nha
(1-1/2) x (1-1/3) x (1-1/4) x...x (1-1/9) x (1-1/10)
=1/2 x 2/3 x 3/4 x...x 8/9 x 9/10
=1/10
\(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{10}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{9}{10}\)
\(=\frac{1.2.3.4...9}{2.3.4.5...10}\)
\(=\frac{1}{10}\)
(1 - \(\frac{1}{6}\)) x (1- \(\frac{1}{7}\)) x (1- \(\frac{1}{8}\)) x (1 - \(\frac{1}{9}\)) x (1-\(\frac{1}{10}\))
=\(\frac{5}{6}\)x \(\frac{6}{7}\)x \(\frac{7}{8}\)x \(\frac{8}{9}\)x \(\frac{9}{10}\)
= \(\frac{5\times6\times7\times8\times9}{6\times7\times8\times9\times10}\)
= \(\frac{5}{10}\)
=\(\frac{1}{2}\)
x : 1/2 + x : 1/4 + x : 1/6 + x : 1/8 + x : 1/10 = 1
\(x\cdot2+x\cdot4+x\cdot6+x\cdot8+x\cdot10=1\)
\(x\cdot\left(2+4+6+8+10\right)=1\)
\(x\cdot30=1\)
\(x=\frac{1}{30}\)
153x(8518:852)=8518:852=9x153=1377 1+1+1+1+1+1+1+1 +1 + 1 + 1 + 1 +1 +1 + 1 +1+10= 25
dư 850