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mình gợi ý nhé 1
1. là so sánh với 1
2 . so sánh với 0
3 . rút gọn đi rồi quy đồng lên sau đó so sánh
\(\frac{-1234}{1244}=\frac{10}{1234}-\frac{1244}{1244}=\frac{10}{1234}-1\)
\(\frac{-4321}{4331}=\frac{10}{4331}-\frac{4331}{4331}=\frac{10}{4331}-1\)
Vì 1234<4331 nên \(\frac{10}{1234}>\frac{10}{4331}\)
=>\(\frac{10}{1234}-1
a) ta có \(\frac{1234}{1235}=1-\frac{1}{1235}\)
\(\frac{4319}{4320}=1-\frac{1}{4320}\)
vì \(\frac{1}{1235}>\frac{1}{4320}\Rightarrow1-\frac{1}{1235}< 1-\frac{1}{4320}\)
\(\Rightarrow\frac{1234}{1235}< \frac{4319}{4320}\)
b) ta có \(\frac{1234}{1244}=1-\frac{10}{1244}\)
\(\frac{4321}{4331}=1-\frac{10}{4331}\)
vì \(\frac{10}{1244}>\frac{10}{4331}\Rightarrow1-\frac{10}{1244}< 1-\frac{10}{4331}\)
\(\Rightarrow\frac{1234}{1244}< \frac{4321}{4331}\)
\(\Rightarrow\frac{-1234}{1244}>\frac{-4321}{4331}\)
a) \(\frac{-18}{91}\) và \(\frac{-23}{114}\)
\(\frac{-18}{91}=\frac{-18.114}{91.114}=\frac{-2052}{\text{10374}}\)
\(\frac{-23}{114}=\frac{-23.91}{114.91}=\frac{\text{-2093}}{10374}\)
Ta có:
\(\frac{-2052}{10374}< \frac{-2093}{10374}\)
\(\Rightarrow\)\(\frac{-18}{91}< \frac{-23}{114}\)
b) \(\frac{-22}{35}\) và \(\frac{-103}{177}\)
\(\frac{-22}{35}=\frac{-22.177}{35.177}=\frac{\text{-3894}}{\text{6195}}\)
\(\frac{-103}{177}=\frac{-103.35}{177.35}=\frac{\text{-3605}}{6195}\)
Ta có:
\(\frac{-3894}{6195}< \frac{-3605}{6195}\)
\(\Rightarrow\)\(\frac{-22}{35}< \frac{-103}{177}\)
a) \(\frac{1}{1235}>\frac{1}{4320}\Rightarrow-\frac{1}{1235}< -\frac{1}{4320}\Rightarrow1-\frac{1}{1235}< 1-\frac{1}{4320}\Rightarrow\frac{1234}{1235}< \frac{4319}{4320}.\)
b) \(\frac{10}{1244}< \frac{10}{4331}\Rightarrow\frac{10}{1244}-1< \frac{10}{4331}-1\Rightarrow-\frac{1234}{1244}< -\frac{4321}{4331}\)
a) Ta có:
1234/1235 = 1 - 1/1235
4319/4320 = 1 - 1/4320
Vì 1/1235 > 1/4320
=> 1234/1235 < 4319/4320
b) -1234/1244 = -1 + 10/1244
-4321/4331 = -1 + 10/4331
Vì 10/1244 > 10/4331
=> -1 + 10/4331 > -1/4331
Ủng hộ mk nha ♡_♡
1:
a: \(\dfrac{1234}{1244}=1-\dfrac{10}{1244}\)
\(\dfrac{4321}{4331}=1-\dfrac{10}{4331}\)
1244<4331
=>\(\dfrac{10}{1244}>\dfrac{10}{4331}\)
=>\(-\dfrac{10}{1244}< -\dfrac{10}{4331}\)
=>\(-\dfrac{10}{1244}+1< -\dfrac{10}{4331}+1\)
=>\(\dfrac{1234}{1244}< \dfrac{4321}{4331}\)
=>\(-\dfrac{1234}{1244}>-\dfrac{4321}{4331}\)
2:
a: \(\dfrac{33}{131}>\dfrac{33}{132}=\dfrac{1}{4}\)
\(\dfrac{53}{217}< \dfrac{53}{212}=\dfrac{1}{4}\)
Do đó: \(\dfrac{33}{131}>\dfrac{53}{217}\)
=>\(-\dfrac{33}{131}< -\dfrac{53}{217}\)
b: \(\dfrac{22}{67}< \dfrac{22}{66}=\dfrac{1}{3}\)
\(\dfrac{51}{152}>\dfrac{51}{153}=\dfrac{1}{3}\)
Do đó: \(\dfrac{22}{67}< \dfrac{51}{152}\)
=>\(\dfrac{22}{-67}>\dfrac{51}{-152}\)
c: \(\dfrac{18}{91}< \dfrac{18}{90}=\dfrac{1}{5}\)
\(\dfrac{23}{114}>\dfrac{23}{115}=\dfrac{1}{5}\)
Do đó: \(\dfrac{18}{91}< \dfrac{23}{114}\)
=>\(-\dfrac{18}{91}>-\dfrac{23}{114}\)