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10) 37.(27+25)-27.(37+25)=37.27+37.25-27.37-27.25
=37.25-27.25=25(37-27)=25.10=250
11)3.(-5+3)+7(2+5)=3.(-2)+7.7=-6+49=43
12)-3.(2-7)-6(8-5)=-3.(-5)-6.3=15-18=-3
\(\dfrac{5}{27}-\dfrac{2}{-27}=\dfrac{5}{27}+\dfrac{2}{27}=\dfrac{7}{27}\)
\(\dfrac{7}{-25}+\dfrac{-8}{25}=\dfrac{\left(-7\right)+\left(-8\right)}{25}=\dfrac{-15}{25}=\dfrac{-3}{5}\)
\(\dfrac{23}{-11}-\dfrac{-3}{-11}=\dfrac{\left(-23\right)-3}{11}=\dfrac{-26}{11}\)
a) \(-75+\left(-325\right)+\left|-45\right|-\left(-125\right)\)
\(=-75-325+45+125\)
\(=\left(45+125\right)-\left(75+325\right)\)
\(=170-400\)
\(=-230\)
b) \(62+\left|128\right|-\left|-155\right|-\left|70\right|\)
\(=62+128-155-70\)
\(\Leftrightarrow190-225\)
\(=-35\)
c) \(815+\left[95+\left(-815\right)+\left(-45\right)\right]\)
\(=815+95-815-45\)
\(=\left(815-815\right)+\left(95-45\right)\)
\(=0+50\)
\(=50\)
d) \(5+\left(-7\right)+9+\left(-11\right)+...+25+\left(-27\right)\)
\(=\left(5-7\right)+\left(9-11\right)+...+\left(25-27\right)\)
\(=-2-2-...-2\)
\(=-2.11\)
\(=-22\)
e) \(34+35+36+37-24-25-26-27\)
\(=\left(34-24\right)+\left(35-25\right)+\left(36-26\right)+\left(37-27\right)\)
\(=10+10+10+10\)
\(=40\)
\(\frac{21}{11}\cdot\frac{68}{63}\cdot\frac{22}{17}\)
\(=1\cdot\frac{4}{3}\cdot2\)
\(=\frac{8}{3}\)
\(\left(\frac{27}{25}-\frac{4}{9}\right)-\left(\frac{2}{25}+\frac{5}{9}\right)\)
\(=\frac{27}{25}-\frac{4}{9}-\frac{2}{25}-\frac{5}{9}\)
\(=\left(\frac{27}{25}-\frac{2}{25}\right)-\left(\frac{4}{9}+\frac{5}{9}\right)\)
\(=1-1\)
\(=0\)
1+2+3+4+5+6+7+8+9+10=55
11+12+13+14+15+16+17+18+19+20=155
1+2+3+4+5+6+7+8+9+10+11+12+13+14 +15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30-50-53=362
\(\left(-\frac{1}{2}\right)^2\cdot2\cdot\frac{7}{4}\div\left(\frac{5}{8}-1\frac{3}{16}\right)\)
\(=\frac{1}{4}\cdot2\cdot\frac{7}{4}\div\left(\frac{10}{16}-\frac{19}{16}\right)\)
\(=\frac{7}{8}\div\left(-\frac{9}{10}\right)\)
\(=\frac{7}{8}\cdot\left(-\frac{10}{9}\right)\)
\(=-\frac{35}{36}\)
-1/2^2.7/4:(5/8-1 3/16)=1/4.7/4:(5/8-19/16)=1/4.7/4:(10/16-19/16)=1/4.7/4:-9/16=1/4.7/4.-16/9=1/4.-28/9=-7/9
\(\frac{167}{99}\)