-7/8=-1+1/8

-2/3=-1+1/3

-3/4=-1+1/4

mà 1/8<1/4<1/3

nên -1<-7/8<-3/4<-2/3

-19/-18=19/18>1

27/28<1

0/24=0

=>0/24<27/28<-19/-18

=>\(-\dfrac{7}{8}< -\dfrac{3}{4}< -\dfrac{2}{3}< \dfrac{0}{24}< \dfrac{27}{28}< \dfrac{-19}{-18}\)

-7/4<-1

-1<-6/7

=>-7/4<-6/7

8/13<8/12

=>8/13<2/3

2/3<1

1<7/5

=>2/3<7/5

=>8/13<2/3<7/5

-7/4<-6/7

0<8/13<2/3<7/5

=>-7/4<-6/7<0<8/13<2/3<7/5

Ta có :

\(\frac{-18}{12}=\frac{-3}{2}=-1,5\);

\(\frac{-10}{7}=-1,4285...\)

\(\frac{-8}{5}=-1,6\)

Ta thấy : -1,4285... > -1,5 > -1,6

=> \(\frac{-10}{7}>\frac{-18}{12}>\frac{-8}{5}\)

a)sắp xếp theo thứ tự tăng dần là: \(\dfrac{-1}{2};\dfrac{2}{7};\dfrac{2}{5}\)

b)sắp xếp theo thứ tự tăng dần là: \(\dfrac{-11}{4};\dfrac{-7}{3};\dfrac{12}{5}\)

c)sắp xếp theo thứ tự tăng dần là:\(\dfrac{-18}{5};\dfrac{9}{-2};\dfrac{10}{3}\)

d)\(sửa\dfrac{3-}{4}=\dfrac{-3}{4}\)

sắp xếp theo thứ tự tăng dần là:\(\dfrac{-4}{3};\dfrac{-3}{4};\dfrac{1}{12}\)

a) \(\frac{7}{15};\frac{3}{10};0;-\frac{3}{4};-\frac{5}{6}\)

b) 

1) \(-\frac{7}{5};-\frac{7}{9};0;\frac{4}{5};\frac{9}{11};\frac{3}{2}\)

2) \(-\frac{25}{26};-\frac{18}{19};-\frac{11}{12};-\frac{4}{5};-\frac{3}{4}\)

\(\dfrac{6}{7}< 1< \dfrac{7}{4}\Rightarrow0>-\dfrac{6}{7}>-\dfrac{7}{4}\left(1\right)\)

\(\dfrac{8}{13}=\dfrac{8.3}{13.3}=\dfrac{24}{39}< 0< \dfrac{2}{3}=\dfrac{2.13}{3.13}=\dfrac{26}{39}\left(2\right)\)

\(\left(1\right),\left(2\right)\Rightarrow-\dfrac{7}{4}< -\dfrac{6}{7}< 0< \dfrac{8}{13}< \dfrac{2}{3}\)

\(sin16^0=sin\left(90^0-74^0\right)=cos74^0\)

\(sin60^0=sin\left(90^0-60^0\right)=cos30^0\)

Sắp xếp: \(cos16^0,cos30^0,cos43^0,cos52^0,cos74^0\)

cos16=sin 74

cos43=sin47

cos52=sin38

Vì 16<38<47<60<74

nên sin 16<sin 38<sin 47<sin60<sin74

=>sin 16<cos52<cos43<sin60<cos16

Ta có:

Chọn đáp án D