Question

so sánh các số hữu tỉ

\(\dfrac{253}{-254}\) và \(\dfrac{-1234}{1232}\)

Answer 1

`@` `\text {Ans}`

`\downarrow`

\(\dfrac{253}{-254}=\dfrac{-253}{254}\)

\(-\dfrac{1234}{1232}=\dfrac{-617}{616}\)

Ta có: \(\dfrac{617}{616}>1\) ; \(\dfrac{253}{254}< 1\)

`=>`\(\dfrac{617}{616}>\dfrac{253}{254}\)

`=>`\(\dfrac{-617}{616}< \dfrac{-253}{254}\)

Vậy, \(\dfrac{253}{-254}>\dfrac{-1234}{1232}\).

Answer 2

\(MSC=254.1232\)

\(\dfrac{253}{-254}=\dfrac{-253}{254}=\dfrac{-253.1232}{254.1232}=\dfrac{\text{-311696}}{254.1232}\)

\(\dfrac{-1234}{1232}=\dfrac{-1234.254}{254.1232}=\dfrac{\text{-313436}}{254.1232}\)

mà \(\dfrac{\text{-313436}}{254.1232}< \dfrac{\text{-311696}}{254.1232}\)

\(\Rightarrow\dfrac{-1234}{1232}< \dfrac{253}{-254}\)

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