\(N=\frac{1}{2^2}+\frac{1}{3^2}+...+\frac{1}{10^2}\)

\(N>\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{10.11}\)

\(N>\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-....-\frac{1}{11}=\frac{1}{2}-\frac{1}{11}=\frac{10}{22}>\frac{9}{22}\)

Vậy N > 9/22 

12/20 và 22/25

Ta có : 

\(\frac{12}{20}=\frac{12\times5}{20\times5}=\frac{60}{100}\)

\(\frac{22}{25}=\frac{22\times4}{25\times4}=\frac{88}{100}\)

Ta thấy : 60/100 < 88/100

nên 12/20 < 22/25

tk nha

12/20 = 3/5= 15/25<22/25

Vậy 12/20<22/25

7 . (-2)^3 - 60:15

= 7 . (-8) - 4

= (-56)- 4

= - 60

125 - (-75) + 32 - (48 + 32)

= 125-75 + 32 - 48 -32

=  50 + (-48)

=2

= 19 + (-20) + (-19)+12

= 19+(-19) + (-20)+12

= 0+ (-8)

= -8

19^4=16*18*20*22

\(16\cdot18\cdot20\cdot22=\left(19-3\right)\cdot\left(19-1\right)\cdot\left(19+1\right)\cdot\left(19+3\right)=\left(19^2-9\right)\cdot\left(19^2-1\right)=19^4-9\cdot19^2-19^2+9=19^4-10\cdot9^2+9< 19^4\)

ok bạn

19^4 < 16*18*20*22

Chúc bn học tốt

\(\dfrac{7}{19}x\dfrac{8}{23}+\dfrac{7}{19}x\dfrac{15}{23}+1\dfrac{7}{19}\)

= \(\dfrac{7}{19}x\left(\dfrac{8}{23}+\dfrac{15}{23}\right)+1+\dfrac{7}{19}\)

=\(\dfrac{7}{19}x1+1+\dfrac{7}{19}\)

= \(\dfrac{7}{19}+1+\dfrac{7}{19}=1\dfrac{14}{19}\) = \(\dfrac{33}{19}\)

\(\dfrac{75}{100}+\dfrac{18}{21}+\dfrac{49}{32}+\dfrac{1}{4}+\dfrac{3}{21}-\dfrac{17}{32}\)

=  \(\dfrac{3}{4}+\dfrac{6}{7}+\dfrac{49}{32}+\dfrac{1}{4}+\dfrac{1}{7}-\dfrac{17}{32}\)

= \(\left(\dfrac{3}{4}+\dfrac{1}{4}\right)+\left(\dfrac{6}{7}+\dfrac{1}{7}\right)+\left(\dfrac{49}{32}-\dfrac{17}{32}\right)\)

= 1 + 1 + 1 = 3

\(\dfrac{8}{9}x\dfrac{15}{16}x\dfrac{24}{25}x\dfrac{35}{36}x\dfrac{48}{49}x\dfrac{63}{64}\)

= \(\dfrac{3}{4}\) *Câu này bạn tự sử dụng gạch nhé!

`1,`

`a,`

`7/19 \times 8/23 + 7/19 \times 15/23 + 1 7/19`

`= 7/19 \times 8/23 + 7/19 \times 15/23 + 1 + 7/19`

`= 7/19 \times (8/23 + 15/23 + 1) + 1`

`= 7/19 \times 2 + 1`

`=14/19 + 1`

`= 33/19`

`b,`

`75/100 + 18/21 + 49/32 + 1/4 + 3/21 - 17/32`

`= 75/100 + (18/21 + 3/21) + (49/32 - 17/32) + 1/4`

`= 0,75 + 1 + 1 + 0,25`

`= (0,75 + 0,25) + 1 + 1`

`= 1+1+1=3`

`c,`

`8/9 \times 15/16 \times 24/25 \times 35/36 \times 48/49 \times 63/64`

`=` \(\dfrac{2\times3}{3\times3}\times\dfrac{3\times5}{4\times4}\times\dfrac{3\times4\times2}{5\times5}\times\dfrac{5\times7}{6\times6}\times\dfrac{6\times8}{7\times7}\times\dfrac{7\times9}{8\times8}\)

`= 3/4` (bạn sử dụng gạch, rút gọn các số là được nhé).

\(\frac{19}{20}< 1< \frac{3}{2}=1\frac{1}{2}\Rightarrow\frac{19}{20}< \frac{3}{2}\)
 

19/20<3/2

3/2 lớn hơn chắc rồi còn j . vậy mà cux hỏi =_=