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tính nhanh:
B=(\(\frac{1}{99}+\frac{12}{999}-\frac{123}{9999}\)).(\(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\))
tính giá trị :\(Q=\left(\frac{1}{99}+\frac{12}{999}+\frac{123}{999}\right)\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
Tinh gia tri bieu thuc :
\(\left(\frac{1}{99}+\frac{12}{999}+\frac{123}{999}\right)\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
\(A=\left(\frac{9}{1999}+\frac{99}{999}+\frac{999}{9999}\right)\cdot\left(\frac{1}{5}-\frac{1}{4}+\frac{1}{20}\right)\)
Aleft(1frac{1}{6}timesfrac{6}{7}times6:frac{3}{5}right):left(4frac{1}{5}timesfrac{10}{11}+5frac{2}{10}right)B1frac{13}{15}times25%times3+left(frac{8}{15}-frac{79}{60}right):1frac{23}{4}Cfrac{123}{4567}timesfrac{1}{8}+frac{123}{4567}timesfrac{1}{2}-frac{123}{4567}timesfrac{13}{8}Dfrac{10frac{1}{3}timesleft(24frac{1}{2}-15frac{6}{7}right)-frac{12}{11}timesleft(frac{10}{3}-1,75right)}{left(frac{5}{9}-0,25right)timesfrac{60}{11}+194frac{8}{99}}
Đọc tiếp
\(A=\left(1\frac{1}{6}\times\frac{6}{7}\times6:\frac{3}{5}\right):\left(4\frac{1}{5}\times\frac{10}{11}+5\frac{2}{10}\right)\)
\(B=1\frac{13}{15}\times25\%\times3+\left(\frac{8}{15}-\frac{79}{60}\right):1\frac{23}{4}\)
\(C=\frac{123}{4567}\times\frac{1}{8}+\frac{123}{4567}\times\frac{1}{2}-\frac{123}{4567}\times\frac{13}{8}\)
\(D=\frac{10\frac{1}{3}\times\left(24\frac{1}{2}-15\frac{6}{7}\right)-\frac{12}{11}\times\left(\frac{10}{3}-1,75\right)}{\left(\frac{5}{9}-0,25\right)\times\frac{60}{11}+194\frac{8}{99}}\)
Chứng tỏ:a) frac{2013}{2014}+frac{2014}{2015}+frac{2015}{2013}3b) left(1+frac{1}{2}right)left(1+frac{1}{2^2}right)left(1+frac{1}{2^3}right)left(1+frac{1}{2^4}right)....left(1+frac{1}{2^{50}}right) 3c) Cfrac{1}{2}.frac{3}{4}.frac{5}{6}.....frac{9999}{10000} frac{1}{100}d) frac{1}{2}-frac{1}{2^2}+.............+frac{1}{2^{99}}-frac{1}{2^{100}} frac{1}{3}
Đọc tiếp
Chứng tỏ:
a) \(\frac{2013}{2014}+\frac{2014}{2015}+\frac{2015}{2013}>3\)
b) \(\left(1+\frac{1}{2}\right)\left(1+\frac{1}{2^2}\right)\left(1+\frac{1}{2^3}\right)\left(1+\frac{1}{2^4}\right)....\left(1+\frac{1}{2^{50}}\right)< 3\)
c) \(C=\frac{1}{2}.\frac{3}{4}.\frac{5}{6}.....\frac{9999}{10000}< \frac{1}{100}\)
d) \(\frac{1}{2}-\frac{1}{2^2}+.............+\frac{1}{2^{99}}-\frac{1}{2^{100}}< \frac{1}{3}\)
Chứng tỏ:a) frac{2013}{2014}+frac{2014}{2015}+frac{2015}{2013}3b) left(1+frac{1}{2}right)left(1+frac{1}{2^2}right)left(1+frac{1}{2^3}right)left(1+frac{1}{2^4}right)...left(1+frac{2}{50}right) 3c) Cfrac{1}{2}.frac{3}{4}.frac{5}{6}.....frac{9999}{10000} frac{1}{100}d) frac{1}{2}-frac{1}{2^2}+.........+frac{1}{2^{99}}-frac{1}{2^{100}} frac{1}{3}
Đọc tiếp
Chứng tỏ:
a) \(\frac{2013}{2014}+\frac{2014}{2015}+\frac{2015}{2013}>3\)
b) \(\left(1+\frac{1}{2}\right)\left(1+\frac{1}{2^2}\right)\left(1+\frac{1}{2^3}\right)\left(1+\frac{1}{2^4}\right)...\left(1+\frac{2}{50}\right)< 3\)
c) \(C=\frac{1}{2}.\frac{3}{4}.\frac{5}{6}.....\frac{9999}{10000}< \frac{1}{100}\)
d) \(\frac{1}{2}-\frac{1}{2^2}+.........+\frac{1}{2^{99}}-\frac{1}{2^{100}}< \frac{1}{3}\)
TÍNH HỢP LÝ:
a)\(\left[\frac{-5}{13}-\left(\frac{-3}{5}+\frac{8}{13}-\frac{4}{10}\right)\right]:\left(\frac{-15}{11}\right)\) b)\(\left(\frac{1}{99}+\frac{12}{949}+\frac{123}{9499}\right).\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
Afrac{1+frac{1}{3}+frac{1}{5}+frac{1}{7}+......+frac{1}{999}}{frac{1}{1.999}+frac{1}{3.997}+frac{1}{5.995}+......+frac{1}{999.1}}Bfrac{1+left(1+2right)+left(1+2+3right)+left(1+2+3+4right)+......+left(1+2+3+...+98right)}{1.2+2.3+3.4+4.5+......+98.99}Cfrac{frac{1}{1.300}+frac{1}{2.301}+frac{1}{3.302}+......+frac{1}{100.400}}{frac{1}{1.102}+frac{1}{2.103}+frac{1}{3.104}+......+frac{1}{299.400}}Dfrac{frac{1}{99}+frac{2}{98}+frac{3}{97}+......+frac{99}{1}}{frac{1}{2}+frac{1}{3}+frac{1}{4}+......+frac...
Đọc tiếp
\(A=\frac{1+\frac{1}{3}+\frac{1}{5}+\frac{1}{7}+......+\frac{1}{999}}{\frac{1}{1.999}+\frac{1}{3.997}+\frac{1}{5.995}+......+\frac{1}{999.1}}\)
\(B=\frac{1+\left(1+2\right)+\left(1+2+3\right)+\left(1+2+3+4\right)+......+\left(1+2+3+...+98\right)}{1.2+2.3+3.4+4.5+......+98.99}\)
\(C=\frac{\frac{1}{1.300}+\frac{1}{2.301}+\frac{1}{3.302}+......+\frac{1}{100.400}}{\frac{1}{1.102}+\frac{1}{2.103}+\frac{1}{3.104}+......+\frac{1}{299.400}}\)
\(D=\frac{\frac{1}{99}+\frac{2}{98}+\frac{3}{97}+......+\frac{99}{1}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+......+\frac{1}{100}}:\frac{92-\frac{1}{9}-\frac{2}{10}-\frac{3}{97}-......-\frac{92}{100}}{\frac{1}{45}+\frac{1}{50}+\frac{1}{55}+......+\frac{1}{500}}\)