a) 1 - 5 + 9 - 13 + .... + 393 - 397

  = ( 1 - 5 ) + ( 9 - 13 ) + ... + ( 393 - 397 )

  = ( -4 ) + ( -4 ) + ... + ( -4 )

  = ( -4 ) x 197

  = -788

b) - 2 + 4 - 6 + 8 - ... - 238 + 240

   = ( -2 + 4 ) + ( -6 + 8 ) + ... + ( -238 + 240 )

   = 2 + 2 + ... + 2

   = 2 x 60

   = 140

Cảm ơn nha!!!
 

2.60 = 120 mà

`8 2/7-(3 4/9+4 2/7)`

`=8+2/7-(3+4/9+4+2/7)`

`=8+2/7-7-2/7-4/9`

`=1-4/9`

`=5/9`

8 2/7-(3 4/9+4 2/7)

=58/7-31/9-30/7

=(58/7-30/7)-31/9

=4-31/9

=5/9

\(8\dfrac{2}{7}-\)\(\left(3\dfrac{4}{9}+4\dfrac{2}{7}\right)\)

\(=\dfrac{58}{7}-\left(\dfrac{31}{9}+\dfrac{30}{7}\right)\)

\(=\dfrac{58}{7}-\left(\dfrac{217}{63}+\dfrac{270}{63}\right)\)

\(=\dfrac{58}{7}-\dfrac{487}{63}\)

\(=\dfrac{522}{63}-\dfrac{487}{63}\)

\(=\dfrac{35}{63}=\dfrac{5}{9}\)

a) (-124) + 24 = -100
b) 37. 78 + 37. 22
=  37 . ( 78 + 22 )
=  37 . 100
= 3700

\(a) (-124) + 24 = -100 b) 37. 78 + 37. 22 = 37 . ( 78 + 22 ) = 37 . 100 = 3700\)

a) (- 124) + 24                                          b) 37 . 78 + 37 . 22

= - ( 124 - 24)                                              =37 . ( 78 + 22)

= - 100                                                        =37 . 100 

                                                                    3700

\(=\left(\dfrac{1}{2}+\dfrac{1}{2}\right)-\left(\dfrac{5}{41}+\dfrac{36}{41}\right)=1-1=0\)

1/2-5/41+1/2-39/41

=(1/2+1/2)-(5/41+39/41)

=1-1

=2

1) = (8/31 + 23/31)+ ( -12/25+-13/25) = 1 + (-1) = 0
2) = 1/2 +3/4 -3/4 + 4/5 = 1/2 +4/5 = 13/10

3)= ( 7/3 x 15/21) x ( -5/2 x 4/-5 ) = ( 7/3 x 5/7 ) x 2 = 5/3 x 2 = 10/3

4) = 1/4 + 3/4 x -7/6 = 1/4 + -7/8 = -5/8

5)= 3/29 x 29/3 - 1/5 x 29/3 = 1 x 29/15 = 29/15

6)= 5/7 x ( 5/11 + 2/11 - 14/11) = 5/7 x -7/11 = -5 /11 

7) = 11/12 x -1/8 + 11/12 x -3/16  - 11/12 = 11/12 x ( -1/8 + -3/16 - 1) = 11/12 x -21/16 = -77/64 ( mk ko chắc , bạn ấn máy tính để thử lại )

8) = 203/20 - 7/4 + 41/13 = 198/20 + 41/13 = 99/10 + 41/13 = 1697/130 ( câu này cứ lỏ lỏ kiểu gì ý :v ) 

1) = (8/31 + 23/31)+ ( -12/25+-13/25) = 1 + (-1) = 0
2) = 1/2 +3/4 -3/4 + 4/5 = 1/2 +4/5 = 13/10

3)= ( 7/3 x 15/21) x ( -5/2 x 4/-5 ) = ( 7/3 x 5/7 ) x 2 = 5/3 x 2 = 10/3

4) = 1/4 + 3/4 x -7/6 = 1/4 + -7/8 = -5/8

5)= 3/29 x 29/3 - 1/5 x 29/3 = 1 x 29/15 = 29/15

6)= 5/7 x ( 5/11 + 2/11 - 14/11) = 5/7 x -7/11 = -5 /11 

7) = 11/12 x -1/8 + 11/12 x -3/16  - 11/12 = 11/12 x ( -1/8 + -3/16 - 1) = 11/12 x -21/16 = -77/64 ( mk ko chắc , bạn ấn máy tính để thử lại )

8) = 203/20 - 7/4 + 41/13 = 198/20 + 41/13 = 99/10 + 41/13 = 1697/130 ( câu này cứ lỏ lỏ kiểu gì ý :v ) 

\(=\dfrac{-3}{4}-\dfrac{1}{2}-\dfrac{3}{4}+\dfrac{5}{8}=\dfrac{-6}{4}+\dfrac{5}{8}-\dfrac{1}{2}=-2+\dfrac{5}{8}=\dfrac{-16+5}{8}=-\dfrac{11}{8}\)

Bài 2:

Ta thấy: 5² > 4.5

6² > 5.6

7² > 6.7

     ....

2017² > 2016.2017

\(\Rightarrow\)\(\frac{1}{5^2}< \frac{1}{4.5}\)

\(\frac{1}{6^2}< \frac{1}{5.6}\)

\(\frac{1}{7^2}< \frac{1}{6.7}\)

....

\(\frac{1}{2017^2}< \frac{1}{2016.2017}\)

Cộng vế với nhau, ta có:

\(\frac{1}{5^2}+\frac{1}{6^2}+\frac{1}{7^2}+...+\frac{1}{2017^2}\) < \(\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+...+\frac{1}{2016.2017}\)

\(\Rightarrow\)A < \(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{2016}-\frac{1}{2017}\)

\(\Rightarrow\)A < \(\frac{1}{4}-\frac{1}{2017}\)

\(\Rightarrow\)A < \(\frac{1}{4}\)( vì \(\frac{1}{2017}>0\))

k giúp mik ✅

-10/13 + 5/17 - 3/13 + 12/17 - 11/20                                              3/4 + -5/6 - 11/-12

(-10/13 - 3/13) + (5/17 + 12/17) - 11/20                                         3/4 - 5/6 - 11/-12

-13/13 + 17/17 - 11/20                                                                   9/12 - 10/12 - 1/-12

-1 + 1 - 11/20                                                                                 -1/12 - -1/12

=-11/20                                                                                           -1/12 + 1/12

                                                                                                        =0

                              k cho mk nhé   cảm ơn bạn rất nhiều

e: =5/7(5/11+2/11-14/11)

=5/7(-7/11)=-5/11

f: =-5/4(2/11+9/11)+1+3/4

=-5/4+7/4

=2/4=1/2

g: =-5/7(3/13+10/13)+1+5/7

=-5/7+1+5/7

=1

h: =7/4(29/5-9/5)+41/13

=-7+41/13=-50/13