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\(\frac{17.8.23.\left(-80\right).3}{23.16.17.4}=\frac{8.\left(-80\right).3}{16.4.17}=\frac{1.\left(-20\right).3}{2.1.17}=\frac{\left(-10\right).3}{1.17}=\frac{-30}{17}=-1\frac{13}{17}\)
a) \(17+188+183=205+183=388\)
b) \(80-\left[130-\left(12-4\right)^2\right]\)
\(=80-\left(130-64\right)\)
\(80-66=14\)
c) \(2^3.17-2^3.14\)
\(8.17-8.14\)
\(=8.\left(17-14\right)\)
\(=8.3=24\)
a) \(\frac{17}{23}.\frac{18}{16}.\frac{23}{17}-\left(-80\right)-\frac{3}{4}\)
= \(\frac{17.18.23}{23.16.17}+80-\frac{3}{4}\)
= \(\frac{9}{8}+80-\frac{3}{4}\)
= \(\frac{3}{8}+80=\frac{643}{8}\)
b) \(\frac{5}{11}.\frac{18}{29}-\frac{5}{11}.\frac{8}{29}+\frac{5}{11}.\frac{19}{29}\)
= \(\frac{5}{11}.\left(\frac{18}{29}-\frac{8}{29}+\frac{19}{29}\right)\)
= \(\frac{5}{11}.1=\frac{5}{11}\)
c) \(\left(\frac{13}{23}+\frac{1313}{2323}-\frac{131313}{232323}\right).\left(\frac{1}{3}+\frac{1}{4}-\frac{7}{12}\right)\)
= \(\left(\frac{13}{23}+\frac{1313}{2323}-\frac{131313}{232323}\right).0\)
= \(0\)
+) \(176+483+24+117\)
\(=\left(176+24\right)+\left(483+117\right)\)
\(=200+600\)
\(=800\)
+) \(239+518+761+482\)
\(=\left(239+761\right)+\left(518+482\right)\)
\(=1000+1000\)
\(=2000\)
+) \(32+33+34+...+78+79+80\)
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_
\(\frac{17}{23}.\frac{8}{6}.\frac{23}{17}.\left(-80\right).\frac{3}{4}\)
\(=\left(\frac{17}{23}.\frac{23}{17}\right).\left(\frac{8}{6}.\frac{3}{4}\right).\left(-80\right)\)
\(=1.1.\left(-80\right)\)
\(=-80\)
\(\frac{17}{23}\times\frac{8}{6}\times\frac{23}{17}\times\left(-80\right)\times\frac{3}{4}\)
\(=\left(\frac{17}{23}\times\frac{23}{17}\right)\times\left(\frac{8}{6}\times\frac{3}{4}\right)\times\left(-80\right)\)
\(=1\times1\times\left(-80\right)\)
\(=-80\)