So sánh
\(\frac{-1234}{1244}\) và \(\frac{-4321}{4331}\)
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Ta có:
\(\dfrac{-1234}{1244}=-1+\dfrac{10}{1244}\)
\(\dfrac{-4321}{4331}=-1+\dfrac{10}{4331}\)
Vì \(\dfrac{10}{1244}>\dfrac{10}{4331}\)
\(\Rightarrow-1+\dfrac{10}{1244}>-1+\dfrac{10}{4331}\)
hay \(\dfrac{-1234}{1244}>\dfrac{-4321}{4331}\)
\(\dfrac{1234}{1244}< \dfrac{1234+3037}{1244+3037}=\dfrac{4331}{4321}\)
\(\Rightarrow\dfrac{1234}{1244}< \dfrac{4331}{4321}\)
\(\Rightarrow-\dfrac{1234}{1244}>-\dfrac{4331}{4321}\)
\(\Rightarrow\dfrac{-1234}{1244}>\dfrac{4331}{-4321}\)
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 \(\frac{10}{1244}>\frac{10}{4331}\Rightarrow1-\frac{10}{1244}< 1-\frac{10}{4331}\)
\(\Rightarrow\frac{1234}{1244}< \frac{4321}{4331}\)
\(\Rightarrow\frac{-1234}{1244}>\frac{-4321}{4331}\)
\(\frac{-1234}{1244}=\frac{10}{1234}-\frac{1244}{1244}=\frac{10}{1234}-1\)
\(\frac{-4321}{4331}=\frac{10}{4331}-\frac{4331}{4331}=\frac{10}{4331}-1\)
Vì 1234<4331 nên \(\frac{10}{1234}>\frac{10}{4331}\)
=>\(\frac{10}{1234}-1
a) \(\frac{1}{1235}>\frac{1}{4320}\Rightarrow-\frac{1}{1235}< -\frac{1}{4320}\Rightarrow1-\frac{1}{1235}< 1-\frac{1}{4320}\Rightarrow\frac{1234}{1235}< \frac{4319}{4320}.\)
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 ♡_♡
\(1+1=2\)
\(2.3=6\)
\(8.72:9=576:9=64\)
\(\frac{1234+4321}{4.7+5}=\frac{5555}{28+5}=\frac{5555}{33}=\frac{505.11}{3.11}=\frac{505}{3}\)
\(4,5.5+3,2.\frac{2}{1}=22,5+6,4=28,9\)
b] \(\frac{127}{-128}>-1\)\(;\)\(\frac{-1345}{1244}< -1\)
\(\Rightarrow\frac{127}{-128}>-1>\frac{-1345}{1244}\Rightarrow\frac{127}{-128}>\frac{-1345}{1244}\)
c]\(\frac{-11}{33}=\frac{-1}{3}\)\(;\)\(\frac{25}{-76}>\frac{25}{-75}=\frac{-1}{3}\)\(\Rightarrow\frac{-11}{33}=\frac{-1}{3}< \frac{25}{-76}\Rightarrow\frac{-11}{33}< \frac{25}{-76}\)
d] \(\frac{-171717}{232323}=\frac{-17\times10101}{23\times10101}=\frac{-17}{23}\)\(\Rightarrow\frac{-17}{23}=\frac{-171717}{232323}\)
\(\frac{-1234}{1244}\)và \(\frac{-4321}{4331}\)
Ta có:
\(\frac{-1234}{1244}=\frac{-1234\times4331}{1244\times4331}=\frac{-5344454}{5387764}\)
\(\frac{-4321}{4331}=\frac{-4321\times1244}{1244\times4331}=\frac{-5375324}{5387764}\)
Ta thấy: \(\frac{-5344454}{5387764}>\frac{-5375324}{5387764}\)
\(\Rightarrow\frac{-1234}{1244}>\frac{-4321}{4331}\)
So sánh
−1234/1244 > −4321/4331