x - 3/7 - 3/42 - 3/102 - 3/187 = 2

=> x - [ 3× ( 1/7 - 1/42 - 1/102 - 1/187 ) ] = 2

=> x - 24/77 = 2

=> x = 178/77

k mk vs. Chúc bạn học thật giỏi

     x-3/7-3/42-3/102-3/187

=> x=2+3/7+3/42+3/108+3/187

=> x=28/11

Ở trên mk làm lộn . Sorry

k mk vs. Chúc bạn học thật giỏi

1) 42/35 - [ 33/14 . 21/22 - ( 54/25 : 27/25 - 7/10 )]

= 42/35 - ( 9/4-13/10)

=42/35-19/20

=1/4

2) a) 5/21 . x/34 = 35/102     

x/34=35/102 : 5/21

x/34=49/34

=> x=34

Vậy x=34

b) 15/x . 21/13 = 45/91

15/x=45/91 : 21/13

15/x=15/49

=> x=49

Vậy x=49

lớp 4

\(A=\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{99}}\)

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

\(\Rightarrow A-\dfrac{A}{3}=\dfrac{2A}{3}=\left(\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+...+\dfrac{1}{3^{99}}\right)-\left(\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{100}}\right)\)

\(\Rightarrow\dfrac{2A}{3}=\left(\dfrac{1}{3^2}-\dfrac{1}{3^2}\right)+\left(\dfrac{1}{3^3}-\dfrac{1}{3^3}\right)+...+\left(\dfrac{1}{3^{99}}-\dfrac{1}{3^{99}}\right)+\left(\dfrac{1}{3}-\dfrac{1}{3^{100}}\right)=\dfrac{1}{3}-\dfrac{1}{3^{100}}\)

\(\Rightarrow2A=3\cdot\left(\dfrac{1}{3}-\dfrac{1}{3^{100}}\right)\)

\(\Rightarrow\text{A}=\dfrac{1-\dfrac{1}{3^{99}}}{2}\)

\(\Rightarrow A=\dfrac{1}{2}-\dfrac{1}{2.3^{99}}< \dfrac{1}{2}\)

90 S

92 Đ        

102 S

A) 4,29 x 1230 - 429 x 2,3

= 429 x 12,3 - 429 x 2,3

= 429 x ( 12,3 - 2,3 )

= 429 x 10

= 4290

B) 30 - 15 + 36 - 18 + 42 - 21 + ... + 96 - 48 + 102 - 51

= ( 15 + 15 ) - 15 + ( 18 + 18 ) - 18 + ... + ( 48 + 48 ) - 48 + ( 51 + 51 ) - 51

= 15 + 18 + 21 + ... + 48 + 51

= [( 51 - 15 ) : 3 + 1] x ( 15 + 51 ) : 2

= [36 : 3 + 1] x 66 : 2

= [12 + 1] x 33

= 13 x 33

= 429

bạn nào giúp mình vs

a. 64 x 25 + 35 x 25 + 25

= 64 x 25 + 35 x 25 + 25 x 1

= 25 x ( 64 + 35 + 1 )

= 25 x 100 

= 2500

b. 58 x 42 + 32 x 8 + 5 x 16

c. ( 42 x 43 + 57 x 43 + 43 ) - 360 : 4

= 42 x 43 + 57 x 43 + 43 x 1 - 90

= 43 x ( 42 + 57 +1 ) - 90

= 43 x 100 - 90

= 4300 - 90

= 4210

d. 456 : 2 x 181456 : 3 - 102

Trả lời:

a,\(64\times25+35\times25+25\)

\(=25\times\left(64+35+1\right)\)

\(=25\times100\)

\(=2500\)

b,\(58\times42+32\times8+5\times16\)

\(=2436+256+80\)

\(=2772\)

c,\(\left(42\times43+57\times43+43\right)-360\div4\)

\(=43\times\left(42+57+1\right)-90\)

\(=43\times100-90\)

\(=4300-90\)

\(=4210\)

d,\(456\div2\times181456\div3-102\)

\(=228\div3\times181456-102\)

\(=76\times181456-102\)

\(=13790656-102\)

\(=13790554\)

phép tính này có quy tắc :

nhân chia trước, cộng trừ sau.

trong ngoặc trc ngoài ngoặc sau

tíc mình nha

(42 x 43 + 43 x 57 + 43) - 360 : 4

= 4426549 - 360 : 4

= 4426549 - 90

= 4426459

(372 - 19 x 4 +  (981 : 9 - 13)

= 296         +         96

= 392

456  : 2 x 18 + 456 : 3 - 102

= 4104         +             50

=  4154

>_< học tốt