Lời giải:

$A=(-3)+8+(-13)+18+...+(-53)+58$

$=[(-3)+8]+[(-13)+18]+...+[(-53)+58]$

$=5+5+....+5$

Số lần xuất hiện của 5 là: $[(58-3):5+1]:2=6$

$A=5.6=30$

a) ( -3 ) + ( 8 ) + ( -13 ) + 18 + ... + ( -53 ) + 58            

= [ ( -3 ) + 8 ] + [ ( -13 ) + 18 ] + ... + [ ( -53 ) + 58 ]             có 6 cặp

= 5 + 5 + ... + 5 

= 5 x 6

= 30

b) ( -40 ) + ( -39 ) + ... + 33 + 34 + 35

= [ ( -35 ) + 35 ] + [ ( -34 ) + 34 ] + ... + [ ( -1 ) + 1 ] + 0 + ( -40 ) + ( -39 ) + ... + ( -36 )

= 0 + 0 + ... + 0 + 0 + ( -190 )

= -190

a)=((-3)+8)=((-13)+18)+...+((-53)+58)

=5+5+...+5

=30

a 30

b -190

Khiếp

2 . 53 . 27 + 6 . 9 . 87 - 3 . 18 . 40 
= 2. 53 . 9 . 3 + 2. 3 .9 .87 - 3 .2 .9 .40
= 54.53+54.87-54.40
=54(53+87-40)
=54. 100=5400

12 . 25 + 29 . 25 + 59 . 25 
= 25 . ( 12+29+59)
=25 . 90
=2250

43 . 37 + 93 . 43 + 57 . 61 + 69 . 57 
= 43.(37+93)+57(61+69)
=43.130+57.130
=130.(43+57)
=130.100
=13 000

12 . 53 + 53 . 172 - 53 
=53(12+172-1)
=53.184
=9752

35 . 54 + 35 . 58 + 65 . 75 + 65 . 45 
=35(54+58)+65(75+45)
=35.112+65.120
=3920+7800
=11720

39 . 8 + 70 . 3 + 31 . 8 
=8(39+31)+70.3
=8.70+70.3
=70.(8+3)
=70.11
=770

2 . 53 . 27 + 6 . 9 . 87 - 3 . 18 . 40

= ( 2 . 27 ) . 53 + ( 6 . 9 ) . 87 - ( 3 . 18 ) . 40

= 54 . 53 + 54 . 87 - 54 . 40

= 54(53+87-40)

= 5400

12 . 25 + 29 . 25 + 59 . 25

= 25( 12 + 29 + 59 )

= 2500

43 . 37 + 93 . 43 + 57 . 61 + 69 . 57

= 43( 37 + 93 ) + 57(61 + 69 )

= 5590 + 7410

= 13000

12 . 53 + 53 . 172 - 53 

= 53( 12 + 172 ) - 53

= 9752 - 53

= 9699

35 . 54 + 35 . 58 + 65 . 75 + 65 . 45

= 35( 54 + 58 ) + 65( 75 + 45 )

= 3920 + 7800

= 11720

\(\dfrac{1}{7}-\left(-\dfrac{3}{5}\right)+\dfrac{6}{7}-\left|-\dfrac{1}{5}\right|=1+\dfrac{3}{5}+\dfrac{1}{5}=\dfrac{9}{5}\\ \dfrac{8}{13}\cdot\dfrac{11}{18}+\dfrac{7}{18}\cdot\dfrac{8}{13}-1\dfrac{8}{13}=\dfrac{8}{13}\left(\dfrac{11}{18}+\dfrac{7}{18}+1\right)=\dfrac{8}{13}\cdot2=\dfrac{16}{13}\)

\(\dfrac{1}{7}-\left(-\dfrac{3}{5}\right)+\dfrac{6}{7}-\left|-\dfrac{1}{5}\right|\)

\(=\dfrac{1}{7}+\dfrac{3}{5}+\dfrac{6}{7}-\dfrac{1}{5}\)

\(=1+\dfrac{2}{5}=\dfrac{7}{5}\)

    -5 + (-37 - 45 + 51) - (-37 + 51)

=  -5  - 37 - 45 + 51 + 37 - 51

=  - (5 + 45) - (37 - 37) + (51 - 51)

= - 50 - 0 + 0

= - 50

  - (15 - 47 + 58) + (15 - 47 ) + 3

= - 15 + 47 - 58 + 15 - 47 + 3

= (-15 + 15) + (47 - 47) - (58 - 3)

= 0 + 0 - 55

= - 55

  (53 - 45 - 49) - (53 + 45 - 49)

= 53 -  45 - 49 - 53 - 45 + 49

= (53 - 53) + (-49 + 49) - (45 + 45)

= 0 + 0 - 90

= - 90 

    13 - 15 + 49 - 13 + 15 - 48

=  (13 - 13) + (-15 + 15) + (49 - 48)

= 0 + 0 + 1

=  1 

15+13 -15-13 +49-48

a) 15 . (27 + 18 + 6 ) + 15 . ( 23 +12 ) =  15. 51 + 15 . 35 = 765 + 525 = 1290

b) 14 . 35 . 5 + 10 . 25 . 7 + 20 . 70 = 2450 + 1750 + 1400 = 2452450

c) 53 . ( 51 + 4 ) + 53 . ( 49  + 96 ) + 53 = 53 . 55 + 53 . 145 + 53 = 2915 . 7685 = 22401775

d) 46 . ( 27 +75 ) +8 . ( 58 + 25 ) + 8 . ( 58 + 25 ) . 2 = 46 . 102 + 8 . 83 + 8 . 83 =  4692 + 664 + 664 = 6020