+ \(\frac{2000}{2001}=\frac{2001-1}{2001}=1-\frac{1}{2001}\)
+ \(\frac{2001}{2002}=\frac{2002-1}{2002}=1-\frac{1}{2002}\)
+ \(\frac{1}{2001}>\frac{1}{2002}\Rightarrow1-\frac{1}{2001}
\(1-\frac{2000}{2001}=\frac{1}{2001}\)
\(1-\frac{2001}{2002}=\frac{1}{2002}\)
Vì \(\frac{1}{2001}>\frac{1}{2002}\) nên \(\frac{2000}{2001}
Làm theo phương pháp phân số bù.Ta có:
1-2000/2001=1/2001
1-2001/2002=1/2002
Do 1/2001>1/2002 nên 2000/2001>2001/2002.
các bạn ơi làm theo phương pháp này dễ hiểu !
ta có:1-2000/2001=1/2001
1-1/2002
vì 1/2001>1/2002 nên 2000/2001<2001/2002
So sánh :
\(\frac{2000}{2001}\)và \(\frac{2001}{2002}\)
Có : \(1-\frac{2000}{2001}=\frac{2001}{2001}-\frac{2000}{2001}=\frac{1}{2001}\); \(1-\frac{2001}{2002}=\frac{2002}{2002}-\frac{2001}{2002}=\frac{1}{2002}\)
Có : 2001 < 2002 nên \(\frac{1}{2001}>\frac{1}{2002}\)hay \(\frac{2000}{2001}>\frac{2001}{2002}\)
Ta có :
\(1-\frac{2000}{2001}=\frac{1}{2001}\)
\(1-\frac{2001}{2002}=\frac{1}{2002}\)
Do \(\frac{1}{2001}>\frac{1}{2002}\left(2001< 2002\right)\)
\(\Rightarrow1-\frac{1}{2001}< 1-\frac{1}{2002}\)
\(\Rightarrow\frac{2000}{2001}< \frac{2001}{2002}\)
Vậy \(\frac{2000}{2001}< \frac{2001}{2002}\)
1=2000/2001+1/2001
1=2001/2002+1/2002
Ta có: 1/2001>1/2002
=>2000/2001<2001/2002