Bài 5

4 more and more

5 faster and faster

6 longer and longer

7 more and more expensive

8 more and more excited

9 more and more

10 more and more enthusiastic

4 The warmer - the better

5 The sooner - the earlier

6 The younger - the easier

7 The more expensive - the better

8 The more - the higher

9 the more - the less

10 THe faster - the better

11 The higher - the more reliable

12 the more - the more unpleasant

13 The sooner - the sooner

a: -91/104=-7/8=-21/24

-5/6=-20/24

=>-91/104<-5/6

b: -15/21=-5/7

-36/44=-9/11

5/7=1-2/7; 9/11=1-2/11

mà 2/7>2/11

nên 5/7<9/11

=>-15/21>-36/44

a -35/50 = -7/10

b  510/2805 = 2/11

c  119/126

B2

-2/3= -8/12 , -1/4= -3/12

-8/12<-3/12 nên -2/3<-1/4

b 2/3  5/6

12/18 và 15/18

12/18<15/18

nên 14/21<60/72

bài 1 :

a) = -7/10

b) = 510/2805 = 2/11

c) = 17/18

\(2^{35}< 2^{36}=8^{12}\)

\(3^{24}=\left(3^2\right)^{12}=9^{12}\)

\(8^{12}< 9^{12}\)

=>\(2^{36}< 3^{24}\)

=>\(2^{35}< 3^{24}\)

a. -14/35 và -4/15

    -14/35=-210/525  ;  -4/15=-140/525

 =) -210/525<-140/525 nên -14/35<-4/15

b. -178/1527 và 217/1723

    -178/1527=-306694/2631021  ; 217/1723=331359/2631021

 =)-306694/2631021<331359/2631021 nên -178/1527<217/1723

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Bài 2: So sánh các phân số sau

7/15 > 5/13              11/12 > 7/48        24/35 > 21/7           15/26 > 7/8

\(\sqrt[]{27}-\sqrt[]{35}\) và \(6-\sqrt[]{51}\)

Giả sử \(\sqrt[]{27}-\sqrt[]{35}< 6-\sqrt[]{51}\)

\(\Leftrightarrow27-2.\sqrt[]{27.35}+35< 36-12\sqrt[]{51}+51\)

\(\Leftrightarrow63-6.\sqrt[]{105}< 87-12\sqrt[]{51}\)

\(\Leftrightarrow12\sqrt[]{51}-6.\sqrt[]{105}< 24\)

\(\Leftrightarrow6\sqrt[]{3}\left(\sqrt[]{17}-\sqrt[]{35}\right)< 24\)

\(\Leftrightarrow\sqrt[]{3}\left(\sqrt[]{17}-\sqrt[]{35}\right)< 4\)

mà \(\sqrt[]{17}-\sqrt[]{35}< 0\)

\(\Leftrightarrow\sqrt[]{3}\left(\sqrt[]{17}-\sqrt[]{35}\right)< 0< 4\left(đúng\right)\)

Vậy \(\sqrt[]{27}-\sqrt[]{35}< 6-\sqrt[]{51}\)