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a) Ta có: \(\left(\dfrac{617}{191}+\dfrac{29}{33}-\dfrac{115}{17}\right)\cdot\left(\dfrac{1}{4}-\dfrac{1}{5}-\dfrac{1}{20}\right)\)
\(=\left(\dfrac{617}{191}+\dfrac{29}{33}-\dfrac{115}{17}\right)\cdot\left(\dfrac{5}{20}-\dfrac{4}{20}-\dfrac{1}{20}\right)\)
\(=0\cdot\left(\dfrac{617}{191}+\dfrac{29}{33}-\dfrac{115}{17}\right)=0\)
b) Ta có: \(\dfrac{12}{5}\cdot\left(\dfrac{10}{3}-\dfrac{5}{12}\right)\)
\(=\dfrac{12}{5}\cdot\left(\dfrac{40}{12}-\dfrac{5}{12}\right)\)
\(=\dfrac{12}{5}\cdot\dfrac{35}{12}\)
=7
+) \(176+483+24+117\)
\(=\left(176+24\right)+\left(483+117\right)\)
\(=200+600\)
\(=800\)
+) \(239+518+761+482\)
\(=\left(239+761\right)+\left(518+482\right)\)
\(=1000+1000\)
\(=2000\)
+) \(32+33+34+...+78+79+80\)
Số số hạng của dãy là :
\(\left(80-32\right):1+1=49\) (số)
Tổng của dãy là :
\(\frac{\left(80+32\right)\times49}{2}=2744\)
+) \(5\times125\times2\times4\)
\(=\left(5\times2\right)\times\left(125\times4\right)\)
\(=10\times500\)
\(=5000\)
+) \(25\times50\times4\times20\)
\(=\left(25\times4\right)\times\left(50\times20\right)\)
\(=100\times1000\)
\(=100000\)
+) \(17\times32+43\times17+17\times25\)
\(=17\times\left(32+43+25\right)\)
\(=17\times100\)
\(=1700\)
+) \(24\times19+29\times24+18\times24+24\times33+24\)
\(=24\times\left(19+29+18+33+1\right)\)
\(=24\times100\)
\(=2400\)
_Chúc bạn học tốt_
Câu 11:
(\(\dfrac{11}{4}\). \(\dfrac{-5}{9}\) - \(\dfrac{4}{9}\).\(\dfrac{11}{4}\)).\(\dfrac{8}{33}\)
= \(\dfrac{11}{4}\).(\(\dfrac{-5}{9}\) - \(\dfrac{4}{9}\)). \(\dfrac{8}{33}\)
= \(\dfrac{11}{4}\).(-1).\(\dfrac{8}{33}\)
= - \(\dfrac{2}{3}\)
\(1,Y=\left(1+3+3^2\right)+\left(3^3+3^4+3^5\right)+...+\left(3^{96}+3^{97}+3^{98}\right)\\ Y=\left(1+3+3^2\right)\left(1+3^3+...+3^{96}\right)\\ Y=13\left(1+3^3+...+3^{96}\right)⋮13\\ 2,A=\left(1+3\right)+\left(3^2+3^3\right)+...+\left(3^{2018}+3^{2019}\right)\\ A=\left(1+3\right)\left(1+3^2+...+3^{2019}\right)\\ A=4\left(1+3^2+...+3^{2019}\right)⋮4\\ 3,\Leftrightarrow2\left(x+4\right)=60\Leftrightarrow x+4=30\Leftrightarrow x=36\)
A. 176+483+24+117
=176+24+483+117
=200+600
=800
B. Chịu
C. 25*50*4*20
=(25*4)*(50*20)
=100*1000
=100000
D. 24*19+29*24+18*24+24*33+24
=24 * (19+29+18+33)+24
=24*99+24
=2376+24
=2400
K mk nhé
a) 176+483+24+117=(176+24)+(483+117)=200+600=800
b) 32+33+34+...+78+79+80=(32+80)+(33+79)+...+(55+57)+56=112+112+...+112+56(có 24 số112)=112.24+56=2688+56=2744
c)25.50.4.20=(25.4).(50.20)=100.1000=100000
d)24.19+29.24+18.24+24.33+24=24.(19+29+18+33+1)=24.100=2400
(617/191+29/33-115/117)*(1/4-1/5-1/20)
= (617/191+29/33-115/117)*(5/20-4/20-1/20)
=(617/191+29/33-115/117)*0
=0
\(\left(\dfrac{617}{191}+\dfrac{29}{33}-\dfrac{115}{117}\right)\times\left(\dfrac{1}{4}-\dfrac{1}{5}-\dfrac{1}{20}\right)\\ =\left(\dfrac{617}{191}+\dfrac{29}{33}-\dfrac{115}{117}\right)\times0\\ =0\)