1 : Tính nhanh:
a, 2376 + 3425 - 376 - 425
b, 4638 - 2437 + 5362 - 7563
c, 45 + 45 + 45 + 45 + 15 + 15 + 15 + 15
d, 4 x 125 x 25 x 8
e, 2 x 8 x 50 x 25 x 125
2 : Tính nhanh bằng hai cách:
125 + 125 + 125 + 125 - 25 - 25 - 25 - 25
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a) \(125\times25\times8\times4\)
\(\Rightarrow\left(125\times8\right)\times\left(25\times4\right)\)
\(\Rightarrow1000\times100\)
\(\Rightarrow100000\)
25 + 25 + 25 + 25 + 25 + 25 +25 + 25=25x8=200
45 + 45 + 45 + 45 + 15 + 15 + 15 + 15=(45x4)+(15x4)=180+60=240
125+125+125+125-25-25-25-25=125×4-25×4=4×(125-25)=4×100=400
a: =1250:25=50
b: =234(45+55)+234=23400+234=23634
c: =1000x1000=1000000
a, Ta có :
1996 + 3992 + 5988 + 7984
= 1 x 1996 + 2 x 1996 + 3 x 1996 + 4 x 1996
= (1 + 2 + 3 + 4) x 1996
= 10 x 1996
= 19960
b, 2 x 3 x 4 x 8 x 50 x 25 x 125
= 3 x 2 x 4 x 50 x 8 x 25 x 125
= 3 x (2 x 50) x (4 x 25) x (8 x 125)
= 30 000 000.
c, Ta nhận thấy :
45 x 128 – 90 x 64 = 45 x (2 x 64) – 90 x 64
= (45 x 2) x 64 – 90 x 64
= 90 x 64 – 90 = 0
Trong 1 tích có 1 thừa số bằng 0. Vậy tích đó bằng 0, tức là :
(45 x 46 + 47 x 48) x (51 x 52 – 49 x 48) x (45 x 128 – 90 x 64) x (1995 x 1996 + 1997 x 1998) = 0
(36 × 27) : 3 = 36 × (27 : 3)
= 36 × 9
= 324
--------
(125 × 15) : 5
= 125 × (15 : 5)
= 125 × 3
= 375
--------
(15 × 12) : 9
= (5 × 3 × 12) : 9
= 5 × (36 : 9)
= 5 × 4
= 20
--------
450 : (3 × 5)
= 450 : 15
= 30
--------
(45 × 63) : 9
= 45 × (63 : 9)
= 45 × 7
= 40 × 7 + 5 × 7
= 280 + 35
= 315
\(46\cdot99\)
\(=46\cdot\left(100-1\right)\)
\(=46\cdot100-46\)
\(=4600-46\)
\(=4554\)
___________
\(34\cdot11\)
\(=34\cdot\left(10+1\right)\)
\(=34\cdot10+34\)
\(=340+34\)
\(=374\)
___________
\(25\cdot12\)
\(=5\cdot5\cdot12\)
\(=5\cdot60\)
\(=300\)
__________
\(15\cdot4\)
\(=15\cdot2\cdot2\)
\(=30\cdot2\)
\(=60\)
____________
\(45\cdot6\)
\(=45\cdot2\cdot3\)
\(=90\cdot3\)
\(=2700\)
________
\(13\cdot99\)
\(=13\cdot\left(100-1\right)\)
\(=13\cdot100-13\)
\(=1300-13\)
\(=1287\)
______________
\(16\cdot19\)
\(=16\cdot\left(20-1\right)\)
\(=16\cdot20-16\)
\(=320-16\)
\(=304\)
_____________
\(35\cdot98\)
\(=35\cdot\left(100-2\right)\)
\(=35\cdot100-35\cdot2\)
\(=3500-70\)
\(=3430\)
____________
\(125\cdot16\)
\(=125\cdot8\cdot2\)
\(=1000\cdot2\)
\(=2000\)
___________
\(47\cdot101\)
\(=47\cdot\left(100+1\right)\)
\(=47\cdot100+47\)
\(=4700+47\)
\(=4747\)
46 x 99 =4554 , 34 x 11 = 374 , 25 x 12 =- 300 , 15 x 4 = 60 , 45 x 6 = 270 , 13 x 99 = 1287 , 16 x 19 = 304
35 x 98 = 3430 , 125 x 16 = 2000 , 47 x 101 = 4747
1 : Tính nhanh:
a) 2376 + 3425 - 376 - 425 = ( 2376 - 376 ) + ( 3425 - 425 )
= 2000 + 3000
= 5000
b)4638 - 2437 + 5362 - 7563 = 2210 + ( - 2210 )
= 0
c) 45 + 45 + 45 + 45 + 15 + 15 + 15 + 15
= 45 x 4 + 15 x 4
= ( 45 + 15 ) x 4
= 60 x 4
= 240
d) 4 x 125 x 25 x 8 = ( 4 x 25 ) x ( 125 x 8 )
= 100 x 1000
= 100000
e) 2 x 8 x 50 x 25 x 125 = ( 2 x 50 ) x ( 8 x 125 ) x 25
= 100 x 1000 x 25
= 100000 x 25
= 2500000
2 : Tính nhanh bằng 2 cách:
C1 : 125 + 125 + 125 + 125 - 25 - 25 - 25 - 25
= ( 125 - 25 ) + ( 125 - 25) + ( 125 - 25 ) + ( 125 - 25 )
=100 + 100 + 100 + 100
= 100 x 4
= 400
C2 : 125 + 125 + 125 + 125 - 25 - 25 - 25 - 25
= 125 x 4 - 25 x 4
= ( 125 - 25 ) x 4
= 100 x 4
= 400
1.
a. 5000
b. 0
c. 240
d. 100000
e. 2500000
2.
400