c) \(\left(11+12+13+...+19\right).\left(6.8-48\right)=\left(11+12+13+...+19\right).\left(48-48\right)\)

                                                                                         \(=\left(11+12+13+...+19\right).0\)

                                                                                         \(=0\)

Hok "tuốt" nha^^

b) \(\left(500.9-250.18\right).\left(1+2+3+...+9\right)=\left(250.2.9-250.18\right).\left(1+2+...+9\right)\)

                                                                                             \(=\left(250.18-250.18\right).\left(1+2+3+...+9\right)\)

                                                                                             \(=0.\left(1+2+3+...+9\right)\)

                                                                                             \(=0\)

Hok tốt nha^^ (lần 2)

a) = 1.1204
b) = 0.5714

a) = 1.1204
b) = 0.5714

a) (125 -679 + 145 ) - ( 125 - 679 )=125 -679+145-125+679=145

b)(x - 29 ) - ( 17 - 38 ) = -9

<=> x-29 -17+38=-9

<=>x=-1

c)( x + 5 ) + ( x - 9 ) = x + 2

<=>x+5+x-9=x+2

<=>x+x-x=2+9-5

<=>x=6

d) ( 27 - x )+ ( 15 + x ) = x - 24 

<=> 27-x+15+x-x=-24

<=> -x=-66

<=>x=66

e) -359 + 181 + ( -123 ) + 350 + ( -172 ) =  (181 +350)-(359+172) -123  =531-531-123=-123

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

a, (125 -679 + 145 ) - ( 125 - 679 )

= 125 - 679 + 145 - 125 + 679 

= ( 125 - 125 ) + ( -679 + 679 ) + 145

= 0 + 0 +145

= 145

b, (x - 29 ) - ( 17 - 38 ) = -9

x - 29 - 17 + 38        = -9

x - 29 - 17                = -9 - 38   

 x - 29 - 17               = -47

x - 29                       = -47 + 17

x - 29                       = -30

x                              = -30 + 29

x                              = -1

Vậy x = -1

c, ( x + 5 ) + ( x - 9 ) = x + 2

x + 5 + x - 9          = x + 2 

x - x + 14              = x + 2 

14                          =  x + 2

x                            = 14 - 2 

x                            = 12

Vậy x = 12

d, ( 27 - x )+ ( 15 + x ) = x - 24 

27 - x + 15 + x         = x - 24

42 + ( -x + x )           = x - 24

42                            = x - 24

x                              = 24 + 42

x                              = 66

Vậy x = 66

e, -359 + 181 + ( -123 ) + 350 + ( -172 ) 

= ( -359 + 350 ) + [ 181 + ( -172 ) ] + ( -123)

= (-9) + 9 + ( -123 )

= 0 + ( -123)

= (-123)

g , 13 - 12 + 11 + 10 - 9 + 8 - 7 -6 + 5 - 4 + 3 + 2 -1

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

= 1 + 1 + 1 + 1 + 1 + 8

= 1. 5 + 8

= 5 + 8

= 13

Bài 2:

10^n có tổng các chữ số là 1

5^3 có tổng các chữ số là 8

=>10^n+5^3 có tổng các chữ số là 9

=>10^n+5^3 chia hết cho 9

\(\dfrac{5}{13}\times\dfrac{7}{11}+\dfrac{5}{13}\times\dfrac{2}{11}+\dfrac{8}{13}\times\dfrac{9}{11}\)

\(=\dfrac{5}{13}\times\left(\dfrac{7}{11}+\dfrac{2}{11}\right)+\dfrac{8}{13}\times\dfrac{9}{11}\)

\(=\dfrac{5}{13}\times\dfrac{9}{11}+\dfrac{8}{13}\times\dfrac{9}{11}\)

\(=\dfrac{9}{11}\times\left(\dfrac{5}{13}+\dfrac{8}{13}\right)\)

\(=\dfrac{9}{11}\times1\)

\(=\dfrac{9}{11}\)

a) \(20,23\times21+20,23\times80-20,23\)

\(=20,23\times\left(21+80-1\right)\)

\(=20,23\times100\)

\(=2023\)

a) \(\dfrac{7}{9}\times\dfrac{13}{25}\times\dfrac{9}{7}=\left(\dfrac{7}{9}\times\dfrac{9}{7}\right)\times\dfrac{13}{25}=1\times\dfrac{13}{25}=\dfrac{13}{25}\)

b) \(\dfrac{5}{9}\times\dfrac{21}{25}+\dfrac{21}{25}\times\dfrac{4}{9}\)

\(=\dfrac{21}{25}\times\left(\dfrac{5}{9}+\dfrac{4}{9}\right)\)

\(=\dfrac{21}{25}\times1=\dfrac{21}{25}\)

c) \(\dfrac{19}{5}\times\dfrac{11}{16}-\dfrac{9}{5}\times\dfrac{11}{16}\)

\(=\dfrac{11}{16}\times\left(\dfrac{19}{5}-\dfrac{9}{5}\right)\)

\(=\dfrac{11}{16}\times2=\dfrac{22}{16}=\dfrac{11}{8}\)

\(\frac{5}{9}.\frac{-2}{13}+\frac{5}{13}.\frac{11}{9}-\frac{4}{9}\)

\(=\frac{5}{9}.\frac{-2}{13}+\frac{5}{9}.\frac{-11}{13}-\frac{4}{9}\)

\(=\frac{5}{9}\left(\frac{-2}{13}+\frac{-11}{13}\right)-\frac{4}{9}\)

\(=\frac{5}{9}.-1-\frac{4}{9}\)

\(=\frac{-5}{9}-\frac{4}{9}\)

\(=-1\)

\(\frac{5}{9}\times\frac{-2}{13}+\frac{-5}{13}\times\frac{11}{9}-\frac{4}{9}\)

\(=\frac{2}{9}\times\frac{-5}{13}+\frac{-5}{13}\times\frac{11}{9}-\frac{4}{9}\)

\(=\frac{-5}{13}\times\left(\frac{2}{9}+\frac{11}{9}\right)-\frac{4}{9}\)

\(=\frac{-5}{13}\times\frac{13}{9}-\frac{4}{9}\)

\(=\frac{-5}{9}-\frac{4}{9}\)

\(=\frac{-9}{9}=-1\)

\(\dfrac{-4}{3}-\dfrac{5}{7}+\dfrac{4}{3}=\left(\dfrac{4}{3}+\dfrac{-4}{3}\right)-\dfrac{5}{7}=0-\dfrac{5}{7}=-\dfrac{5}{7}\)

\(\dfrac{3}{13}\cdot\dfrac{6}{11}+\dfrac{3}{13}\cdot\dfrac{9}{11}-\dfrac{3}{13}\cdot\dfrac{4}{11}=\dfrac{3}{13}\cdot\left(\dfrac{6}{11}+\dfrac{9}{11}-\dfrac{4}{11}\right)=\dfrac{3}{13}\cdot1=\dfrac{3}{13}\)

cảm ơn bạn.