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A=(2-3+4-5) +(6-7+8-9)+.......=(96-97+98-99)+100
A=0+0+0+.....+0+100
A=100
BÀI D EM NGẠI VIẾT
a) \(A=2+1+1+...+1=2+49=51.\)
b) \(B=1,7+1,7+...+1,7=1,7.10=17.\)
c) \(D=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{9.10}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(\Leftrightarrow D=1-\frac{1}{10}=\frac{9}{10}.\)
\(A=\left(1-\frac{1}{2}\right)+\left(1-\frac{1}{6}\right)+\left(1-\frac{1}{12}\right)+....+\left(1-\frac{1}{90}\right)+\left(1-\frac{1}{110}\right)+\frac{10}{11}\)
\(=10-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{10.11}\right)+\frac{10}{11}=10-\left(1-\frac{1}{11}\right)+\frac{10}{11}=10\)
1/2+1/6+1/12+1/20=4/5
Tính nhanh
18,5 : x + 14,8 : x + 12 ,7 : x = 10
x:(18,5+14,8+12,7)=10
x:46=10
=>x=460
Mới thế đã hai năm trôi qua,câu trả lời từ mọi người vẫn KO XUẤT HIỆN.
Ko biết sau này câu trả lời có xuất hiện hay ko...
a) \(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)
\(=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}\) (dấu chấm là dấu nhân)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
\(=1-\frac{1}{7}\)
\(=\frac{6}{7}\)
b) \(\frac{19}{13}+\frac{14}{6}+\frac{1}{9}+\frac{4}{6}+\frac{7}{13}+\frac{17}{9}\)
\(=\left(\frac{19}{13}+\frac{7}{13}\right)+\left(\frac{14}{6}+\frac{4}{6}\right)+\left(\frac{1}{9}+\frac{17}{9}\right)\)
= 2 + 3 + 2
= 7
\(B=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+....+\frac{1}{90}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{9.10}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{9}-\frac{1}{10}\)
\(=1-\frac{1}{10}=\frac{9}{10}\)
\(B=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+....+\frac{1}{9\cdot10}\)
\(B=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+.....+\frac{1}{9}-\frac{1}{10}\)
\(B=1-\frac{1}{10}\)
\(B=\frac{9}{10}\)
D=1/2-1/32=15/32
E=1/1X2+1/2X3+1/3X4+1/4X5+1/5X6
E=1/1-1/6=5/6
K MÌNH NHA
\(\dfrac{15}{8}:\dfrac{45}{6}-\dfrac{1}{13}\left(\dfrac{4}{9}-\dfrac{1}{12}\right)\)
\(=\dfrac{15}{8}\cdot\dfrac{6}{45}-\dfrac{1}{13}\left(\dfrac{48-9}{108}\right)\)
\(=\dfrac{1}{4}-\dfrac{1}{13}\cdot\dfrac{13}{36}\)
\(=\dfrac{1}{4}-\dfrac{1}{36}=\dfrac{2}{9}\)
\(\frac{1}{1}+\frac{1}{6}+\frac{1}{12}+....+\frac{1}{90}\)
\(=\frac{1}{1}+\left(\frac{1}{6}+\frac{1}{12}+....+\frac{1}{90}\right)\)
\(=\frac{1}{1}+\left(\frac{1}{2.3}+\frac{1}{3.4}+.....+\frac{1}{9.10}\right)\)
\(=1+\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{9}-\frac{1}{10}\right)\)
\(=1+\left(\frac{1}{2}-\frac{1}{10}\right)\)
\(=1+\frac{2}{5}=\frac{7}{5}\)
7/5 nha bn