\(\left(-\dfrac{7}{23}\right).\left(\dfrac{13}{28}\right)+\left(-\dfrac{7}{23}\right).\left(\dfrac{25}{28}\right)\)

\(=\left(-\dfrac{7}{23}\right).\left(\dfrac{13}{28}+\dfrac{25}{28}\right)\)

\(=\left(-\dfrac{7}{23}\right).\left(\dfrac{38}{28}\right)\)

\(=\left(-\dfrac{7}{23}\right).\left(\dfrac{19}{14}\right)\)

\(=-\dfrac{19}{46}\)

\(\left(-\dfrac{7}{23}\right)\cdot\left(\dfrac{13}{28}\right)+\left(-\dfrac{7}{13}\right)\cdot\left(\dfrac{25}{28}\right)\)

\(=\left(-\dfrac{7}{23}\right)\cdot\left(\dfrac{13}{28}+\dfrac{25}{28}\right)\)

\(=\left(-\dfrac{7}{13}\right)\cdot\dfrac{38}{28}\)

\(=\left(-\dfrac{7}{13}\right)\cdot\dfrac{19}{14}\)

\(=-\dfrac{19}{26}\)

tui con nho maaaaaaaa

??????????????/

?????? 

a, \(\dfrac{1}{2}\) - ( - \(\dfrac{1}{3}\) ) + \(\dfrac{1}{23}\) + \(\dfrac{1}{6}\)

 =  \(\dfrac{5}{6}\)  + \(\dfrac{1}{23}\) + \(\dfrac{1}{6}\)

= 1 + \(\dfrac{1}{23}\)

 = \(\dfrac{24}{23}\) 

b, \(\dfrac{11}{24}\) - \(\dfrac{5}{41}\) + \(\dfrac{13}{24}\) + 0,5 - \(\dfrac{36}{41}\)

= (\(\dfrac{11}{24}\) + \(\dfrac{13}{24}\)) - ( \(\dfrac{5}{41}\) + \(\dfrac{36}{41}\)) + 0,5

= 1 - 1 + 0,5

= 0,5 

c,\(-\dfrac{1}{12}-\left(\dfrac{1}{6}-\dfrac{1}{4}\right)\)

=\(-\dfrac{1}{12}-\left(-\dfrac{1}{12}\right)\)

=0

d, \(\dfrac{1}{6}-\left[\dfrac{1}{6}-\left(\dfrac{1}{4}+\dfrac{9}{12}\right)\right]\)

= \(\dfrac{1}{6}-\left[\dfrac{1}{6}-1\right]\)

= \(\dfrac{1}{6}-\left(-\dfrac{5}{6}\right)\)

= 1

e, 0,5 + \(\dfrac{1}{3}\) + 0,4 + \(\dfrac{5}{7}\) + \(\dfrac{1}{6}\) - \(\dfrac{4}{35}\)

 =    (0,5 + 0,4) + ( \(\dfrac{1}{3}\) + \(\dfrac{1}{6}\)) + (\(\dfrac{5}{7}\)  - \(\dfrac{4}{35}\))

 = 0,9 + \(\dfrac{1}{2}\) + \(\dfrac{3}{5}\)

= 0,9 + 0,5 + 0,6

= 2

`a,`

\((- 5) .x + 17 = - 23\)

`\Rightarrow (-5)x = -23 - 17`

`\Rightarrow (-5)x =-40`

`\Rightarrow x = (-40) \div (-5)`

`\Rightarrow x = 8`

Vậy,` x = 8`

`b,`

\(8 + 4x = - 24\)

`\Rightarrow 4x = -24 - 8`

`\Rightarrow 4x = -32`

`\Rightarrow x = -32 \div 4`

`\Rightarrow x = -8`

Vậy, `x = -8`

`c,`

\(32 – 12 + x = -10\)

`\Rightarrow 20 + x = -10`

`\Rightarrow x = -10 - 20`

`\Rightarrow x = -30`

Vậy, `x = -30`

`d,`

\(x – 87 + 13 = - 100\)

`\Rightarrow x - 87 = -100 - 13`

`\Rightarrow x - 87 = -113`

`\Rightarrow x = -113 + 87`

`\Rightarrow x = -26`

Vậy, `x = -26.`

i don't now

mong thông cảm !

...........................

\(A=\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{100^2}\)

ta có :

\(\frac{1}{2^2}< \frac{1}{1\cdot2}\)

\(\frac{1}{3^2}< \frac{1}{2\cdot3}\)

\(\frac{1}{4^2}< \frac{1}{3\cdot4}\)

...

\(\frac{1}{100^2}< \frac{1}{99\cdot100}\)

nên \(A< \frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{99\cdot100}\)

\(\Rightarrow A< 1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\)

\(\Rightarrow A< 1-\frac{1}{100}\)

\(\Rightarrow A< \frac{99}{100}< 1\)

\(\Rightarrow A< 1\left(đpcm\right)\)

nhiều qá lm sao nổi

đáp án của mình là -5.5854586e+17

\(13.\left(23+22\right)-3.\left(17+28\right)\)

\(=13.23+22-3.17+28\)

\(=13.\left(23+17\right)-3\left(22+28\right)\)

\(=13.40-3.50\)

\(=520-150=370\)

\(-48+48.\left(-78\right)+48.\left(-21\right)\)

\(=48.\left[-78+\left(-21\right)-1\right]\)

\(=48.\left(-100\right)=-4800\)

Bài này giống bài 1 trong bài thi cuối kì của trường tôi thế nhỉ

a) 1+2+3+...+2018

=[(2018-1):1+1].(2018+1):2

=2018.2019:2

=2037171

b) 4+7+10+13+...+2017

=[(2017-4):3+1].(2017+4):2

=672.2021:2

=679056

c) 1+2-3-4+5+6-7-8+9+10-11-12+13+14

=(1+2-3-4)+(5+6-7-8)+(9+10-11-12)+13+14

=-4+(-4)+(-4)+13+14

=-12+27

=15

d) 23 x 75 + 25 x 23 + 180

=23 x (75+25) +180

=23 x 100 +180

=2300+180

2480

chúc ban hoc tốt nha

a) Số số hạng: ( 2018 - 1 ) : 1 + 1 = 2018

   Tổng:           2018 x ( 2018 + 1 ) : 2 = 2 037 171

b) Số số hạng: ( 2017 - 4 ) : 3 + 1 = 672

    Tổng: 672 x ( 2017 + 4 ) : 2 = 679 056

13.A

14.B

15.A

13, A
14, C
15, A

13. A

14. B

15. A