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\(172^{65}-172^{64}=172^{64}.\left(172-1\right)=172^{64}.171\)
\(172^{64}-172^{63}=172^{63}\left(172-1\right)=172^{63}.171\)
vi \(172^{64}>172^{63}\) nen \(172^{64}.171>172^{63}.171\)
vay \(172^{65}-172^{64}>172^{64}-172^{63}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a)=(-65-35)+(28+172)
=-100+100
=0
b)=34.[-65+(-55)+20)
=34.(-100)
=-3400
c)=168-437-168-105+437
=(168-168)+(-437+437)-105
=0+0-105
-105
a; (-65) + 28 + (-35) + 172
= -(65 + 35) + (28 + 172)
= - 100 + 200
= 100
b; 34.(-65) + (-55).34 + 34.20
= 34.(-65 - 55 + 20)
= 34.(-120 + 20)
= 34.(-100)
= -3400
c; 168 - (437 + 168) + (-105 + 437)
= 168 - 437 - 168 - 105 + 437
= (168 - 168) - (437 - 437) - 105
= 0 - 0 - 105
= -105
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325+172-72+65
= (325 + 65) + (172 - 72)
= 390 + 100
= 490
214+(-54)+(-14)+(-46)
= (214 - 14) - (54+46)
= 200 - 100
= 100
245-[(32-22).10-5]
= 245 - [(9 - 4). 10 - 5]
= 245 - [5.10 - 5]
= 245 - [50 - 5]
= 245 - 45
= 200
25.23-(9-14)+(29-34+20)
= 25. 8 + (29 - 9) - (34 - 20 - 14)
= 200 + 20 - 0
= 220
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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
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a, 39 . 8 + 60 . 2 + 21 . 8
= 39 . 8 + 15 . 4 . 2 + 21 . 8
= 39 . 8 + 15 . 8 + 21 . 8
= 8 . ( 39 + 15 + 21 )
= 8 . 75
= 600
b, 12 . 53 + 53 . 172 - 53 . 84
= 53 . ( 12 + 172 - 84 )
= 53 . 100
= 5300
c, 35 . 34 + 35 . 86 + 65 . 75 + 65. 67 + 65.45
= 35 . ( 34 + 86 ) + 65 . ( 75 + 67 + 45 )
= 35 . 120 + 65 . 187
= 4200 + 12155
= 16355
d, 36 . 28 + 36 . 82 + 64 . 69 + 64 . 41
= 36 . ( 28 + 82 ) + 64 . ( 69 + 41 )
= 36 . 110 + 64 . 110
= 110 . ( 36 + 64 )
= 110 . 100
= 11000
a, 39 . 8 + 60 . 2 + 21 . 8
= 39 . 8 + 15 . 4 . 2 + 21 . 8
= 39 . 8 + 15 . 8 + 21 . 8
= 8 . ( 39 + 15 + 21 )
= 8 . 75
= 600
b, 12 . 53 + 53 . 172 - 53 . 84
= 53 . ( 12 + 172 - 84 )
= 53 . 100
= 5300
c, 35 . 34 + 35 . 86 + 65 . 75 + 65. 67 + 65.45
= 35 . ( 34 + 86 ) + 65 . ( 75 + 67 + 45 )
= 35 . 120 + 65 . 187
= 4200 + 12155
= 16355
d, 36 . 28 + 36 . 82 + 64 . 69 + 64 . 41
= 36 . ( 28 + 82 ) + 64 . ( 69 + 41 )
= 36 . 110 + 64 . 110
= 110 . ( 36 + 64 )
= 110 . 100
= 11000
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Bài 2: Tính nhanh
a) 29 + 132 + 237 + 868 + 3
= 29+(132+858)+(237+3)
=29+990+240
=1259
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A.35 x 34 + 35 x 38 + 65 x 75 + 65 x 45
Câu này không tính hợp lí được
B. 12x 53 + 53 x 172 - 53 x 84
= 53 x (12 + 172 - 84)
= 53 x 100
= 5300
C. 36 x 28 + 36 x 82 + 64 x 69 + 64 x 41
= 36 x (28+82) + 64 x (69+41)
= 36 x 110 + 64 x 110
= (36+64) x 110
= 100 x 110
= 11 000
D. A = 1+2+3+...+100
= (1+ 100) x 50
= 101 x 50
= 5050
E. B =17+19+...+101+103
= (103 +17) x [(103 - 17):2 + 1]
= 120 x 44
=5280
G. D= 3x (12+13+14+15) + 3x(8+7+6+5)
= 3 x (5+6+7+8+12+13+14+15)
= 3 x (20 x 4)
= 3 x 80
=240
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Ta có: \(\left(154\cdot65-65+19\cdot65\right):172\)
\(=\dfrac{65\left(154-1+19\right)}{172}=65\)
Giải:
(154.65-65+19.65):172
=[65.(154-1+19)]:172
=[65.172]:172
=65.(172:172) (dùng tính chất giao hoán của phép nhân)
=65.1=65
Chúc bạn học tốt!