Cho A = \(\frac{1}{2}\times\frac{3}{4}\times\frac{5}{6}\times.......\times\frac{9999}{10000}\). So sánh A với 0.01
Chứng minh rằng \(\frac{1}{2}\times\frac{3}{4}\times\frac{5}{6}\times\frac{7}{8}\times...\times\frac{99}{100}< 0,01\)
\(\frac{1}{3}\times\frac{2}{5}\times\frac{3}{7}\times\frac{4}{9}\times\frac{5}{11}\times\frac{6}{15}\times\frac{7}{15}\times\frac{8}{15}\times\frac{9}{19}\times\frac{10}{21}\times\frac{11}{32}\times\frac{12}{25}\times\left\{\frac{126}{252}-\frac{2}{4}\right\}\)
Cho \(A=\frac{1}{2}\times\frac{3}{4}\times\frac{5}{6}\times...\times\frac{199}{200}\)và chứng minh \(A^2< \frac{1}{201}\)
Cho A =\(\frac{1}{2}\times\frac{3}{4}\times\frac{5}{6}\times\frac{7}{8}\times....\times\frac{199}{200}\)
Chứng minh A2 < \(\frac{1}{400}\)
GIÚP MÌNH VỚI CÁC BẠN
\(A=\left(1\frac{1}{6}\times\frac{6}{7}\times6:\frac{3}{5}\right):\left(4\frac{1}{5}\times\frac{10}{11}+5\frac{2}{10}\right)\)
\(B=1\frac{13}{15}\times25\%\times3+\left(\frac{8}{15}-\frac{79}{60}\right):1\frac{23}{4}\)
\(C=\frac{123}{4567}\times\frac{1}{8}+\frac{123}{4567}\times\frac{1}{2}-\frac{123}{4567}\times\frac{13}{8}\)
\(D=\frac{10\frac{1}{3}\times\left(24\frac{1}{2}-15\frac{6}{7}\right)-\frac{12}{11}\times\left(\frac{10}{3}-1,75\right)}{\left(\frac{5}{9}-0,25\right)\times\frac{60}{11}+194\frac{8}{99}}\)
bài 1 tìm x
\(x-25\%x=\frac{1}{2}\)
bài 2 tính hợp lý
\(a,(\frac{-4}{5}+\frac{4}{3})+(\frac{-5}{4}+\frac{14}{5})-\frac{7}{3}\) \(b,\frac{8}{3}\times\frac{2}{5}\times\frac{3}{10}\times10\times\frac{19}{92}\)\(c,\frac{-5}{7}\times\frac{2}{11}+\frac{-5}{7}\times\frac{9}{14}+1\frac{5}{7}\)
Chứng minh rằng:\(\frac{-1}{2}\times\frac{-3}{4}\times\frac{-5}{6}\times...\times\frac{-399}{400}< \frac{1}{20}\)
Bài 15: Tìm x biết:
a, \(-\frac{3}{5}\times x=\frac{1}{4}+0,75\)
b, \(\left(\frac{1}{7}-\frac{1}{3}\right)\times x=\frac{28}{3}\times\left(\frac{1}{4}-\frac{1}{7}\right)\)
c, \(\frac{5}{7}\times x=\frac{9}{8}-0,125\)
d, \(\left(\frac{2}{11}+\frac{1}{3}\right)\times x=\left(\frac{1}{7}-\frac{1}{8}\right)\times36\)