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\(a,\dfrac{-15}{17}=-1+\dfrac{2}{17}\\ -\dfrac{19}{21}=-1+\dfrac{2}{21}\\ Vì:\dfrac{2}{17}>\dfrac{2}{21}\Rightarrow-1+\dfrac{2}{17}>-1+\dfrac{2}{21}\Rightarrow-\dfrac{15}{17}>-\dfrac{19}{21}\\ b,-\dfrac{24}{35}=-1+\dfrac{11}{35};-\dfrac{19}{30}=-1+\dfrac{11}{30}\\ Vì:\dfrac{11}{35}< \dfrac{11}{30}\Rightarrow-1+\dfrac{11}{35}< -1+\dfrac{11}{30}\\ \Rightarrow-\dfrac{24}{35}< -\dfrac{19}{30}\)
Bài 1:
1: \(17A=\dfrac{17^{19}+17}{17^{19}+1}=1+\dfrac{16}{17^{19}+1}\)
\(17B=\dfrac{17^{18}+17}{17^{18}+1}=1+\dfrac{16}{17^{18}+1}\)
mà \(17^{19}+1>17^{18}+1\)
nên 17A>17B
hay A>B
2: \(C=\dfrac{98^{99}+98^{10}+1-98^{10}}{98^{89}+1}=98^{10}+\dfrac{1-98^{10}}{98^{89}+1}\)
\(D=\dfrac{98^{98}+98^{10}+1-98^{10}}{98^{88}+1}=98^{10}+\dfrac{1-98^{10}}{98^{88}+1}\)
mà \(98^{89}+1>98^{88}+1\)
nên C>D
a: \(17A=\dfrac{17^{19}+17}{17^{19}+1}=1+\dfrac{16}{17^{19}+1}\)
\(17B=\dfrac{17^{18}+17}{17^{18}+1}=1+\dfrac{16}{17^{18}+1}\)
mà 17^19+1>17^18+1
nên A<B
b: \(2C=\dfrac{2^{2021}-2}{2^{2021}-1}=1-\dfrac{1}{2^{2021}-1}\)
\(2D=\dfrac{2^{2022}-2}{2^{2022}-1}=1-\dfrac{1}{2^{2022}-1}\)
2^2021-1<2^2022-1
=>1/2^2021-1>1/2^2022-1
=>-1/2^2021-1<-1/2^2022-1
=>C<D
a) Ta có: \(\frac{18}{17}>1>\frac{999}{1000}\)
\(\Rightarrow\frac{18}{17}>\frac{999}{1000}\)\(\Rightarrow\frac{-18}{17}< \frac{-999}{1000}\)
b) Ta có: \(\frac{17}{35}< \frac{17}{34}=\frac{1}{2}=\frac{43}{86}< \frac{43}{85}\)
\(\Rightarrow\frac{17}{35}< \frac{43}{85}\)\(\Rightarrow\frac{-17}{35}>\frac{-43}{85}\)
c) Ta có: \(0,76=\frac{19}{25}>\frac{19}{28}\)
\(\Rightarrow\frac{-19}{25}< \frac{-19}{28}\)\(\Rightarrow-0,76< \frac{-19}{28}\)
a,-5 < 0 < 1/63 => -5 < 1/63
b, 17/35 > 0 > -43/45
c, -18/17 < -1 < -999/1000
d, -3/4 và -19/28
-3/4 = -21/28
vì: -21/28 < -19/28
=> -0,75 < 19/-28
a, Ta có:
\(-5< 0;\dfrac{1}{63}>0\Rightarrow-5< \dfrac{1}{63}\)
b, Ta có:
\(-\dfrac{18}{17}< -1;\dfrac{999}{-1000}>-1\Rightarrow-\dfrac{18}{17}< \dfrac{999}{-1000}\)
c, Ta có:
\(-\dfrac{17}{35}>-\dfrac{1}{2};-\dfrac{43}{85}< -\dfrac{1}{2}\Rightarrow-\dfrac{17}{35}>-\dfrac{43}{85}\)
d, Ta có:
\(-0,76=-\dfrac{19}{25}\)
Vì \(25< 28\Rightarrow\dfrac{19}{25}>\dfrac{19}{28}\Rightarrow-\dfrac{19}{25}< -\dfrac{19}{28}\)
Chúc bạn học tốt!!!
cảm ơn