Question

So sánh:

\(x=\frac{357}{-352}\)và \(y=\frac{-1000}{999}\)

Answer 1

Ta có \(x=\frac{357}{-352}\)

\(\Rightarrow-x=\frac{357}{352}=1+\frac{2}{352}=\frac{1}{176}\)

Ta có \(y=\frac{-1000}{999}\)

\(\Rightarrow-y=\frac{1000}{999}=1+\frac{1}{999}\)

Vì \(\frac{1}{176}>\frac{1}{999}\Rightarrow1+\frac{1}{176}>1+\frac{1}{999}\Rightarrow-x>-y\Rightarrow x< y\)

Khi đó x < y

Vậy....

Answer 2

\(-x=\frac{357}{352}=1+\frac{5}{352}\)

\(-y=\frac{1000}{999}=1+\frac{1}{999}\)

\(\frac{5}{352}>\frac{5}{999}>\frac{1}{999}\)

\(=>\frac{357}{352}>\frac{1000}{999}=>-x>-y\)

\(=>x< y\)