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DN
21 tháng 1 2018
G=(1+8/10)(1+8/22)(1+8/36)...(1+8/8352)
18.30.44...8360
G=----------------------------
10.22.36...8352
9.2.10.3.11.4...95.88
G=-----------------------------------
10.1.11.2.12.3...96.87
(9.10.11...95)(2.3.4....88)
G= -----------------------------------------
(10.11.12...96)(2.3.4...87)
9.88.
G= ---------= 33/4.
96
NV
Nguyễn Việt Lâm
Giáo viên
24 tháng 2 2019
\(\left(1-\dfrac{28}{10}\right)\left(1-\dfrac{52}{22}\right)\left(1-\dfrac{80}{36}\right)...\left(1-\dfrac{21808}{10900}\right)\)
\(=\left(1-\dfrac{2.10+8}{10}\right)\left(1-\dfrac{2.22+8}{22}\right)\left(1-\dfrac{2.36+8}{36}\right)...\left(1-\dfrac{2.10900+8}{10900}\right)\)
\(=\left(1-2-\dfrac{8}{10}\right)\left(1-2-\dfrac{8}{22}\right)\left(1-2-\dfrac{8}{36}\right)...\left(1-2-\dfrac{8}{10900}\right)\)
\(=\left(-1-\dfrac{8}{1.10}\right)\left(-1-\dfrac{8}{2.11}\right)\left(-1-\dfrac{8}{3.12}\right)...\left(-1-\dfrac{8}{100.109}\right)\)
\(=\left(\dfrac{-18}{1.10}\right)\left(\dfrac{-30}{2.11}\right)\left(\dfrac{-44}{3.12}\right)...\left(\dfrac{-10908}{100.109}\right)\)
\(=\left(\dfrac{-2.9}{1.10}\right)\left(\dfrac{-3.10}{2.11}\right)\left(\dfrac{-4.11}{3.12}\right)...\left(\dfrac{-101.108}{100.109}\right)\)
\(=\dfrac{\left(-2\right)\left(-3\right)\left(-4\right)...\left(-101\right)}{1.2.3...100}.\dfrac{9.10.11...108}{10.11.12...109}\) (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
15 tháng 8 2019
\(A=49\frac{8}{23}-\left(5\frac{7}{32}+14\frac{8}{23}\right)\)
\(A=49\frac{8}{23}-5\frac{7}{32}+14\frac{8}{23}\)
\(A= \left(49\frac{8}{23}-14\frac{8}{23}\right)-5\frac{7}{32}\)
\(A=\left[\left(49-14\right)-\left(\frac{8}{23}-\frac{8}{23}\right)\right]-5\frac{7}{32}\)
\(A=\left[35-0\right]-5\frac{7}{32}\)
\(A=35-5\frac{7}{32}\)
\(A=\frac{953}{32}\)
\(B=71\frac{38}{45}-\left(43\frac{38}{45}-1\frac{17}{57}\right)\)
\(B=71\frac{38}{45}-\frac{36377}{855}\)
\(B=\frac{1670}{57}\)
\(C=\left(19\frac{5}{8}:\frac{7}{12}-13\frac{1}{4}:\frac{7}{12}\right):\frac{4}{5}\)
\(C=\left[\left(19\frac{5}{8}-13\frac{1}{4}\right):\frac{7}{12}\right]:\frac{4}{5}\)
\(C=\left[\frac{51}{8}:\frac{7}{12}\right]:\frac{4}{5}\)
\(C=\frac{153}{14}:\frac{4}{5}\)
\(C=\frac{765}{56}\)
\(D=\left[\left(\frac{10}{15}-\frac{2}{3}\right):\frac{1}{7}\right]\cdot0,15-\frac{1}{4}\)
\(D=\left[0:\frac{1}{7}\right]\cdot\frac{3}{20}-\frac{1}{4}\)
\(D=0\cdot\frac{3}{20}-\frac{1}{4}\)
\(D=0-\frac{1}{4}\)
\(D=-\frac{1}{4}\)
\(E=\frac{13}{30}+\frac{28}{45}\cdot2\frac{1}{2}-\left[\left(\frac{1}{2}+\frac{1}{3}\right):\frac{53}{90}\right]:\frac{50}{53}\)
\(E=\frac{13}{30}+\frac{28}{45}\cdot\frac{5}{2}-\left[\frac{5}{6}:\frac{53}{90}\right]:\frac{50}{53}\)
\(E=\frac{13}{30}+\frac{28}{45}\cdot\frac{5}{2}-\frac{75}{53}:\frac{50}{53}\)
\(E=\frac{13}{30}+\frac{14}{9}-\frac{3}{2}\)
\(\)\(E=\frac{22}{45}\)
CHUC BAN HOC TOT >.<
21 tháng 8 2019
a) \(\left(8^{2019}-8^{2018}\right):\left(8^{2016}.8^2\right)\)
\(=8^{2018}\left(8-1\right):8^{2016+2}\)
\(=8^{2018}.7:8^{2018}=7\)
b) Em tham khảo link : Câu hỏi của ✽❤Girl cute❤✽ - Toán lớp 6 - Học toán với OnlineMath
PN
19 tháng 5 2017
Xét \(22.\left(-6\right)=\left(-132\right)\) :
\(\Rightarrow\left\{{}\begin{matrix}\left(+22\right).\left(+6\right)=\left(+132\right)\\\left(+6\right).\left(-22\right)=\left(-132\right)\\\left(-22\right).\left(+6\right)=\left(-132\right)\end{matrix}\right.\)
9 tháng 4 2018
(+22).(+6) = 132
(-22).(-6) = 132
(-22).(+6) = -132
(+6).(-22) = -132
5 tháng 7 2017
\(17\frac{2}{31}-\left(\frac{15}{17}+6\frac{2}{31}\right)\)
\(17\frac{2}{31}=\frac{529}{31};6\frac{2}{31}=\frac{188}{31}\)
\(17\frac{2}{31}-\left(\frac{15}{17}+6\frac{2}{31}\right)\)
\(=\frac{529}{31}-\left(\frac{15}{17}+\frac{188}{31}\right)\)
\(=\frac{529}{31}-\frac{3661}{527}\)
\(=\frac{172}{17}\)
\(\left(\frac{29}{31}-\frac{7}{8}\right)-\left(\frac{28}{31}-4\right)\)
\(=\frac{15}{248}-\left(-\frac{96}{31}\right)\)
\(=\frac{783}{248}\)
7 tháng 2 2020
5x.(-x)2+1=6
5x.x+1=6
5x2+1=6
5x2=6-1
5x2=5
x2=5:5
x2=1
x2=12
=>x=1
(15-x)+(x-12)=7-(-8+x)
15-x+x-12=7+8-x
3-x+x=15-x
3=15-x
x=15-3
x=12
4x3=4x
Để 4x3=4x=>x3=x
=>x=1
Câu cuối cùng mình ko bik.
hoc tốt
=22+28-8.8-92.8+28.99
=22+28.(1+99)-8.(92+8)
=22+28.100-8.100
=22+2800-800
=22+2000=2022