(1-28/10)(1-52/22)(1-80/36)...(1-21808/10900)
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TINH NHANH A=(1-28/10)(1-52/22)(1-80/36)...(1-21808/10900)
tinh nhanh
\(\left(1-\dfrac{28}{10}\right).\left(1-\dfrac{52}{22}\right).\left(1-\dfrac{80}{36}\right)....\left(1-\dfrac{21808}{10900}\right)\)
\(\left(1-\dfrac{28}{10}\right)\left(1-\dfrac{52}{22}\right)\left(1-\dfrac{80}{36}\right)...\left(1-\dfrac{21808}{10900}\right)\)
\(=\left(1-\dfrac{2.10+8}{10}\right)\left(1-\dfrac{2.22+8}{22}\right)\left(1-\dfrac{2.36+8}{36}\right)...\left(1-\dfrac{2.10900+8}{10900}\right)\)
\(=\left(1-2-\dfrac{8}{10}\right)\left(1-2-\dfrac{8}{22}\right)\left(1-2-\dfrac{8}{36}\right)...\left(1-2-\dfrac{8}{10900}\right)\)
\(=\left(-1-\dfrac{8}{1.10}\right)\left(-1-\dfrac{8}{2.11}\right)\left(-1-\dfrac{8}{3.12}\right)...\left(-1-\dfrac{8}{100.109}\right)\)
\(=\left(\dfrac{-18}{1.10}\right)\left(\dfrac{-30}{2.11}\right)\left(\dfrac{-44}{3.12}\right)...\left(\dfrac{-10908}{100.109}\right)\)
\(=\left(\dfrac{-2.9}{1.10}\right)\left(\dfrac{-3.10}{2.11}\right)\left(\dfrac{-4.11}{3.12}\right)...\left(\dfrac{-101.108}{100.109}\right)\)
\(=\dfrac{\left(-2\right)\left(-3\right)\left(-4\right)...\left(-101\right)}{1.2.3...100}.\dfrac{9.10.11...108}{10.11.12...109}\) (1)
\(=\dfrac{101}{1}.\dfrac{9}{109}=\dfrac{909}{109}\)
Do ở (1) có \(-2-\left(-101\right)+1=100\) nhân tử (số nhân tử là số chẵn) mang dấu âm nên kết quả sẽ mang dấu dương
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Tính nhanh:
D=\(\left(1-\frac{28}{10}\right)\left(1-\frac{52}{22}\right)\left(1-\frac{80}{36}\right).....\left(1-\frac{21808}{10900}\right)\)
D=18/10.30/22...........10908/10900
D=18.30........10908 / 10.22.10900
D=(2.9)(3.10).....(101.108) / (1.10)(2.11).....(100.109)
D=(2.3.......101)(9.10......108) / (1.2....100) (10.11....109)
D=101.9/109=909/109
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Tính nhanh: \(M=\left(\frac{28}{10}-1\right).\left(\frac{52}{22}-1\right).\left(\frac{80}{36}-1\right)...\left(\frac{21808}{10900}-1\right)\)
Làm ơn giúp mình với!Mình đang cần gấp.Bạn nào trả lời được mình sẽ TICK và KẾT BẠN (làm ơn có lời giải nha)
Tính
P=\(\left(1-\dfrac{28}{10}\right)\left(1-\dfrac{52}{22}\right)\left(1-\dfrac{80}{36}\right)...\left(1-\dfrac{21808}{10900}\right)\)
Q=\(\dfrac{1+\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{2012}}{\dfrac{2013}{1}+\dfrac{2014}{2}+\dfrac{2015}{3}+...+\dfrac{4023}{2011}+\dfrac{4024}{2012}-2012}\)
tính bằng cách hợp lí :
F = [28 / 10 - 1] x [52/32 - 1] x [80/36 -1] x ... [ 21808 / 10900 -1]
các bạn ghi câu hỏi ra giấy dễ hiểu bài toán mình ghi hơn
mong các bn giúp mình !! help me !
tính bằng cách hợp lí :
F = [28 / 10 - 1] x [52/32 - 1] x [80/36 -1] x ... [ 21808 / 10900 -1]
các bạn ghi câu hỏi ra giấy dễ hiểu bài toán mình ghi hơn
mong các bn giúp mình !! help me !
2.Tính:
Aleft(dfrac{1}{10}-1right).left(dfrac{1}{11}-1right)left(dfrac{1}{12}-1right).....left(dfrac{1}{100}-1right)
Bleft(1-dfrac{1}{2^2}right)left(1-dfrac{1}{3^2}right)left(1-dfrac{1}{10^2}right)
Cleft(dfrac{7}{9}+1right)left(dfrac{7}{20}+1right)left(dfrac{7}{33}+1right)...left(dfrac{7}{108080}+1right)
Dleft(1-dfrac{28}{10}right)left(1-dfrac{52}{22}right)left(1-dfrac{80}{36}right)...left(1-dfrac{21808}{10900}right)
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2.Tính:
A=\(\left(\dfrac{1}{10}-1\right).\left(\dfrac{1}{11}-1\right)\left(\dfrac{1}{12}-1\right).....\left(\dfrac{1}{100}-1\right)\)
B=\(\left(1-\dfrac{1}{2^2}\right)\left(1-\dfrac{1}{3^2}\right)\left(1-\dfrac{1}{10^2}\right)\)
C=\(\left(\dfrac{7}{9}+1\right)\left(\dfrac{7}{20}+1\right)\left(\dfrac{7}{33}+1\right)...\left(\dfrac{7}{108080}+1\right)\)
D=\(\left(1-\dfrac{28}{10}\right)\left(1-\dfrac{52}{22}\right)\left(1-\dfrac{80}{36}\right)...\left(1-\dfrac{21808}{10900}\right)\)
tính nhanh:
a]1+4+7+10+....+52+55+58-410
b]1*2+2*3+3*4+....+98*99
c]1/7+1/8+1/9+1/10+1/11+1/12+1/14+1/15+1/18+1/22+1/24+1/28+1/33
a/ 1+4+7+10+....+52+55+58-410=[(58-1):3+1]x(58+1)-410=20x59-410=770
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