Question

2.So sánh các phân số:

a.2011/2012 và 2012/2011

b.2000/2013 và 2011/2012

Answer 1

a) \(\left\{{}\begin{matrix}\dfrac{2011}{2012}< 1\\\dfrac{2012}{2011}>1\end{matrix}\right.\Rightarrow\dfrac{2011}{2012}< \dfrac{2012}{2011}\)

b)\(\left\{{}\begin{matrix}\dfrac{2000}{2013}\\\dfrac{2011}{2012}\end{matrix}\right.\left\{{}\begin{matrix}2000< 2011\\2013>2012\end{matrix}\right.\Rightarrow\left\{{}\dfrac{2000}{2013}}< \dfrac{2011}{2012}}}\)

Answer 2

a) Ta có: \(\left\{{}\begin{matrix}\dfrac{2011}{2012}< \dfrac{2012}{2012}=1\\\dfrac{2012}{2011}>\dfrac{2011}{2011}=1\end{matrix}\right.\) => \(\dfrac{2011}{2012}< \dfrac{2012}{2011}\)

b) sửa đề: \(\dfrac{2010}{2013}\) và \(\dfrac{2011}{2012}\)

Ta có: \(\left\{{}\begin{matrix}\dfrac{2010}{2013}< \dfrac{2010}{2012}\\\dfrac{2011}{2012}>\dfrac{2010}{20122}\end{matrix}\right.\) => \(\dfrac{2010}{2013}< \dfrac{2010}{2012}< \dfrac{2011}{2012}\)

=> \(\dfrac{2010}{2013}< \dfrac{2011}{2012}\)

P/s: Thật ra câu b ko cần sửa đề cx đc nhg mà thấy sai sai nên sửa thôi. Hjhj

Answer 3

a).vì 2011<2012 nên \(\left\{{}\begin{matrix}\dfrac{2011}{2012}< 1\\\dfrac{2012}{2011}>1\end{matrix}\right.\)\(\Rightarrow\dfrac{2011}{2012}< 1< \dfrac{2012}{2011}\)

b).\(\left\{{}\begin{matrix}\dfrac{2000}{2013}< \dfrac{2000}{2012}\\\dfrac{2000}{2012}< \dfrac{2011}{2012}\end{matrix}\right.\)\(\Rightarrow\dfrac{2000}{2013}< \dfrac{2000}{2012}< \dfrac{2011}{2012}\)

Answer 4

20112012<20122012=120122011>20112011=1{20112012<20122012=120122011>20112011=1 => 20112012<2012201120112012<20122011

b) sửa đề: 2010201320102013 và 2011201220112012

Ta có: ⎧⎩⎨⎪⎪⎪⎪20102013<2010201220112012>201020122{20102013<2010201220112012>201020122 => 20102013<20102012<2011201220102013<20102012<20112012

=> 20102013<20112012