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5a)
\(A=27+46+79+34+53\\ =27+46+20+20+39+34+53\\ =\left(27+53+20\right)+\left(46+34+20\right)+39\\ =100+100+39\\ =200+39\\ =239\)
\(B=\left(-377\right)-\left(98-277\right)\\ =\left(-377\right)-98+277\\ =\left[\left(-377\right)+277\right]-98\\ =\left(-100\right)-98\\ =-198\)
\(C=\left(-1,7\right)\cdot2,3+1,7\cdot\left(-3,7\right)-1,7\cdot3-0,17:0,1\\ =\left(-1,7\right)\cdot2,3+1,7\cdot\left(-3,7\right)-1,7\cdot3-1,7\\ =\left(-1,7\right)\cdot\left(2,3+3,7+3+1\right)\\ =\left(-1,7\right)\cdot10\\ =-17\)
\(D=2\dfrac{3}{4}\cdot\left(-0,4\right)-1\dfrac{3}{5}\cdot2,75+\left(-1,2\right):\dfrac{4}{11}\\ =\dfrac{11}{4}\cdot\dfrac{-2}{5}-\dfrac{8}{5}\cdot\dfrac{11}{4}+\dfrac{-6}{5}:\dfrac{4}{11}\\ =\dfrac{11}{4}\cdot\dfrac{-2}{5}-\dfrac{8}{5}\cdot\dfrac{11}{4}+\dfrac{-6}{5}\cdot\dfrac{11}{4}\\ =\dfrac{11}{4}\cdot\left(\dfrac{-2}{5}-\dfrac{8}{5}+\dfrac{-6}{5}\right)\\ =\dfrac{11}{4}\cdot\dfrac{-16}{5}\\ =\dfrac{-44}{5}\)
\(E=\dfrac{\left(2^3\cdot5\cdot7\right)\cdot\left(5^2\cdot7^3\right)}{\left(2\cdot5\cdot7^2\right)^2}\\ =\dfrac{2^3\cdot5^3\cdot7^4}{2^2\cdot5^2\cdot7^4}\\ =2\cdot5\cdot1\\ =10\)
6a)
\(A=1\dfrac{13}{15}\cdot\left(0,5\right)^2\cdot3+\left(\dfrac{8}{15}-1\dfrac{19}{60}\right):1\dfrac{23}{24}\\ =\dfrac{28}{15}\cdot\left(0,5\right)^2\cdot3+\left(\dfrac{8}{15}-\dfrac{79}{60}\right):\dfrac{47}{24}\\ =\dfrac{28}{15}\cdot\left(0,5\right)^2\cdot3+\dfrac{-47}{60}:\dfrac{47}{24}\\ =\dfrac{28}{15}\cdot0,25\cdot3+\dfrac{-47}{60}\cdot\dfrac{24}{47}\\ =\dfrac{7}{15}\cdot3+\dfrac{-2}{5}\\ =\dfrac{7}{5}+\dfrac{-2}{5}\\ =\dfrac{5}{5}\\ =1\)
\(B=\dfrac{\left(\dfrac{11^2}{200}+0,415\right):0,01}{\dfrac{1}{12}-37,25+3\dfrac{1}{6}}\\ =\dfrac{\left(\dfrac{11^2}{200}+\dfrac{83}{200}\right):\dfrac{1}{100}}{\dfrac{1}{12}-\dfrac{149}{4}+\dfrac{19}{6}}\\ =\dfrac{\left(\dfrac{121}{200}+\dfrac{83}{200}\right)\cdot100}{\dfrac{1}{12}-\dfrac{447}{12}+\dfrac{38}{12}}\\ =\dfrac{\dfrac{102}{100}\cdot100}{\dfrac{-408}{12}}\\ =\dfrac{102}{-34}\\ =-3\)
19 < a < 21
=> a = 20
16 < c < 22
=> c = 17;18;19
\(a\le b< c\)
\(\Rightarrow20\le b< 22\)
\(\Rightarrow b=20;21\)
\(19< a< 21\)
\(\Rightarrow a=20\)
\(16< c< 22\)
\(\Rightarrow c=17;18;19;20\)
\(a\le b< c\)
\(\Rightarrow20\le b< 22\)
\(\Rightarrow b=20;21\)
Đặt \(A=\frac{1}{21}+\frac{1}{22}+\frac{1}{23}+...+\frac{1}{60}\)
=> \(A=\left(\frac{1}{21}+\frac{1}{22}+...+\frac{1}{40}\right)+\left(\frac{1}{41}+\frac{1}{42}+...+\frac{1}{60}\right)\)
Đặt A < (1/40+.....+1/40)+(1/60+1/60+...+1/60)
=>A<1/2+1/3=5/6<3/2
lớn hơn 11/15 cũng tương tự thôi bạn tự làm sẽ thú vị hơn đấy
k minh nha
Vì 168\(⋮\)x;120\(⋮\)x;144\(⋮\)x=>xϵƯC(168;120;144)
ta có :
168=23.3.7
120=23.3.5
144=24.32
=>ƯCLN(168;120;144)=23.3=24
=>ƯC(168;120;144)=Ư(24)={1;2;3;4;6;8;12;24}
Mà 5<x<25=>xϵ{6;8;12;24}
Vì 60\(⋮\)x và 132\(⋮\)x=>xϵƯC(60;132)
ta có :
60=22.3.5
132=22.3.11
=>ƯCLN(60;132)=22.3=12
=>ƯC(60;132)=Ư(12)={1;2;3;4;6;12}
Mà 2\(\le\)x<12=>xϵ{2;3;4;6}