\(-\dfrac{25}{19}-\left(-\dfrac{6}{19}-\dfrac{1}{2022}\right)\)

\(=\dfrac{-25}{19}-\dfrac{-6}{19}-\dfrac{1}{2022}\)

\(=\dfrac{-25}{19}+\dfrac{6}{19}-\dfrac{1}{2022}\)

\(=\dfrac{-19}{19}-\dfrac{1}{2022}\)

\(=-1+\dfrac{1}{2022}\)

\(=-\dfrac{2021}{2022}\)

1) \(=\left(\frac{3}{5}+\frac{2}{5}\right).\frac{6}{11}\)

\(=1.\frac{6}{11}\)

\(=\frac{6}{11}\)

2)\(\frac{17}{25}.\left(\frac{11}{19}+\frac{6}{19}+\frac{2}{19}\right)\)

\(=\frac{17}{25}.1\)

\(=\frac{17}{25}\)

2.\(\frac{17}{25}.\frac{11}{19}+\frac{17}{25}.\frac{6}{19}+\frac{17}{25}.\frac{2}{19}=\frac{17}{25}\left(\frac{11}{19}+\frac{6}{19}+\frac{2}{19}\right)\\ =\frac{17}{25}.1\\ =\frac{17}{25}\)

28/25 - 17/19 - 3/25 + 2022/2023 - 2/19

= 28/25 - 3/25  -  17/19 + 2/19  - 2022/2023

= 1 - 1 - 2022/2023

= -2022/2023

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a) \(\dfrac{17}{20}< \dfrac{18}{20}< \dfrac{18}{19}\Rightarrow\dfrac{17}{20}< \dfrac{18}{19}\)

b) \(\dfrac{19}{18}>\dfrac{19+2024}{18+2024}=\dfrac{2023}{2022}\Rightarrow\dfrac{19}{18}>\dfrac{2023}{2022}\)

c) \(\dfrac{135}{175}=\dfrac{27}{35}\)

\(\dfrac{13}{17}=\dfrac{26}{34}< \dfrac{26+1}{34+1}=\dfrac{27}{35}\)

\(\Rightarrow\dfrac{13}{17}< \dfrac{135}{175}\)

18, P = 50 - (2022 + 50 - 118) + (2022 - 18)

     P = 50 - 2022 - 50  + 118 + 2022 - 18

    P = (50 - 50) - (2022 - 2022) + (118 - 18)

    P = 0 - 0 + 100

   P = 0

19, Q = 1 - 3 + 5 - 7 + ... + 2021 - 2023 + 2025

    Xét dãy số 1; 3; 5; 7;..; 2021; 2025, đây là dãy số cách đều với khoảng cách là: 3 - 1 = 2

        Số số hạng của dãy số trên là: (2025 - 1) : 2 + 1  =  1013

         1013 : 2 = 506 dư 1

    Vậy Q có 1013 hạng tử nhóm 2 hạng tử liên tiếp của A thành một nhóm ta được:

       Q = ( 1 - 3) + ( 5 - 7) + (9 - 11) +...+ (2021 - 3) + 2025

       Q =    - 2 + (-2) +...+ (-2) + 2025

        Q = - 2.506 + 2025

        Q = - 1012 + 2025

        Q = 1013

a, 

= 51 - 2022 + 2022

= 51

b, = -2019 - 11 + 2019

    = -11

c, = 27 - 52 - 37 + 52

= -10

d, = 19 - 32 + 41 - 19 + 25 - 41

= -7

a)    (51 - 2022) + 2022

=51+(-2022+2022)

=51+0

=51

b)    (-2019) - (11 - 2019)

=(-2019)-11+2019

=(-2019+2019)-11

=0-11

=-11

c)    (27 - 52) - (37 - 52)

=27-52-37+52

=[27+(-37)]+(-52+52)

=-10+0

=-10

d) (19 - 32 + 41) - (19 - 25 + 41)

=19-32+41-19+25-41

=(19-19)+(-32-25)+(41-41)

=0+(-57)+0

=-57

`2^2 .2^3-(2022^0+19):2^2`

`=4.8-(1+19):4`

`=4.8-20:4`

`=32-5`

`=27`

\(2^2\cdot2^3-\left(2022^0+19\right):2^2=4\cdot8-\left(1+19\right):4=32-20:4=32-5=27\)

2^2.2^3-(2022^0+19):2^2
=4.8-(1+19):4
=32-5=27

\(=\dfrac{-2}{3}\cdot\dfrac{12}{19}-\dfrac{2}{3}\cdot\dfrac{7}{19}+1\)

=-2/3(12/19+7/19)+1

=1-2/3

=1/3

a: =17/25(13/19+6/19)=17/25

b: \(=\dfrac{47}{19}\cdot\dfrac{32}{15}-\dfrac{47}{19}\cdot\dfrac{17}{15}=\dfrac{47}{19}\)

`17/25xx(13/19+6/19)`

`17/25xx1`

`17/25`

`a)17/25xx13/19+17/25xx6/19`

`=17/25xx(13/19+6/19)`

`=17/25xx19/19=17/25`

`b)47/19:15/32-47/19:15/17`

`=47/19xx32/15-47/19xx17/15`

`=47/19xx(32/15-17/15)`

`=47/19xx15/15=47/19`