TÍNH NHANH
3 x 8 x 76 + 2 x 35 x 12 - 4 x 11 x 6
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b) 35 x 24 + 35 x 76 +55 x 19 +55 x 91
= 35 x ( 24 + 76 ) + 55 x ( 19 + 91 )
= 35 x100 +55 x 100
= 100 x ( 55 + 35 )
= 90 x 100 =9 000
c) \(6\cdot25\cdot4+4\cdot19\cdot6-2\cdot14\cdot12\)
\(=24\cdot25+24\cdot19-24\cdot14\)
\(=24\left(25+19-14\right)\)
\(=24\cdot30=720\)
d) \(19\cdot64+76\cdot34\)
\(=76\cdot19+76\cdot34\)
\(=76\left(19+34\right)=76\cdot53=4028\)
a) 2 x 16 x 50 x 25
= ( 2 x 50 ) x ( 16 x 25 )
= 100 x 400
= 40 000
e) (x + 1) + (x + 2) + .... + (x + 211) = 23632
(x + x + .... + x) + (1 + 2 + ... + 211) = 23632
211x + 22366 = 23632
211x = 23632 - 22366
211x = 1266
=> x= 6
f) (1 + 3 + 5 + 7 + .... + 2009) + x = 1010026
Số số hạng của 1 + 3 + 5 + 7 + .... + 2009 là: (2009 - 1) : 2 + 1 = 1005
Tổng của 1 + 3 + 5 +... + 2009 là: (1 + 2009) x 1005 : 2 = 1010025
Ta được : 1010025 + x = 1010026
=> x = 1010026 - 1010025 = 1
TL :
1) 112 x 5 x 2
= 112 x 10
=1120
2) 2 x 247 x 5
= 247 x 10
= 2470
3) 2 x 4 x 3 x 5
= 12 x 10
= 120
4) 20 x 7 x 5 x 8
= 100 x 56
= 5600
5) 25 x 35 x 4
= 100 x 35
= 3500
6) 47 x 7 + 47 x 3
= 47 x ( 7 + 3 )
= 47 x 10
= 470
7) 5 x 7 x 9 x 2
= 10 x 63
= 630
8) 125 x 9 x 7 x 8
= 1000 x 63
= 63000
9) 4 x 97 x 25
= 100 x 97
= 9700
10) 8 x 9 x 10 ( chắc thế )
= 80 x 9
= 720
11) 240 x 24 + 240 x 24
= 24 x ( 240 + 240 )
= 24 x 480
= 11520
12) 27 x 2 + 27 x 3 + 27 x 5
= 27 x ( 2 + 3 + 5 )
= 27 x 10
= 270
13) 48 x 4 + 48 x 3 + 48 x 2 + 48
= 48 x 4 + 48 x 3 + 48 x 2 + 48 x 1
= 48 x ( 4 + 3 + 2 + 1 )
= 48 x 10
= 480
14) 247 x 36 + 247 x 64
= 247 x ( 36 + 64 )
= 247 x 100
= 24700
15) 76 x 6 + 76 x 4
= 76 x ( 6 + 4 )
= 76 x 10
= 760
16) 249 x 101 - 249
= 249 x 101 - 249 x 1
= 249 x ( 101 - 1 )
= 249 x 100
= 24900
Mong các ban cho tui 10 cái T I C K
~HT~
1: \(\dfrac{4}{23}+\dfrac{5}{21}+\dfrac{1}{2}-\dfrac{4}{23}+\dfrac{16}{21}\)
\(=1+\dfrac{1}{2}\)
\(=\dfrac{3}{2}\)
2: \(\left(\dfrac{1}{3}+\dfrac{12}{67}+\dfrac{13}{41}\right)-\left(\dfrac{79}{67}-\dfrac{28}{41}\right)\)
\(=\dfrac{1}{3}+\dfrac{12}{67}+\dfrac{13}{41}-\dfrac{79}{67}+\dfrac{28}{41}\)
\(=\dfrac{1}{3}\)
`@` `\text {Ans}`
`\downarrow`
`A)`
`37 \times 46+37 \times 51+111`
`= 37 \times (46+51)+111`
`= 37 \times 97+111`
`= 3589 +111`
`= 3700`
`B)`
`35 \times 215-35 \times 210-175`
`= 35 \times (215-210)-175`
`= 35 \times 5-175`
`= 175-175=0`
`E)`
`76 \times 102-76 \times 2`
`= 76 \times (102-2)`
`= 76 \times 100`
`= 7600`
`C)`
`85 \times 94+85 \times 2 +170 \times 2`
`= 85 \times (94+2) + 170 \times 2`
`= 85 \times 96+170 \times 2`
`= 8160+340`
`= 8500`
`48 \times 56+28 \times 104`
`= 48 \times 28 \times 2+28 \times 104`
`= 28 \times (48 \times 2+104)`
`= 28 \times (96+104)`
`= 28 \times 200`
`= 5600`
`G)`
`206 \times 12-206-206`
`= 206 \times (12-1-1)`
`= 206 \times 10`
`= 2060`
a) 37 x 46 + 37 x 51 + 111
= 37 x ( 46 + 51 ) + 111
= 37 x 97 + 111
= 3589 + 111
= 3700
b) 35 x 215 - 35 x 210 - 175
= 35 x ( 215 - 210 ) - 175
= 35 x 5 - 175
= 175 - 175
= 0
e) 76 x 102 - 76 x 2
= 76 x ( 102 - 2 )
= 76 x 100
= 7600
c) 85 x 94 + 95 x 2 + 170 x 2
= 7990 + 2 x ( 95 + 170 )
= 7990 + 2 x 265
= 7990 + 530
= 8520
48 x 56 + 28 x 104
= 2688 + 2912
= 5600
g) 206 x 12 - 206 - 206
= 2472 - 206 - 206
= 2266 - 206
= 2060
123,45 + 23,56 +76,44 + 54,55
= (123,45 + 54,55) + (23,56 + 76,44)
= 178 + 100
= 278
456 x 45 + 456 x 10 + - 456 x 55
=456 x (45 +10-55)
=456 x 0
=0
2,5 x 8,5 + 7,5 x 8,5
=8,5 x (2,5 +7,5)
= 8,5 x 10
= 85
86 x 5 + 86 x 4 + 86
= 86 x (5+4+1)
= 86 x10
860
a. 19.64 + 76.34 = 19.64 + 19.4.34 = 19.64 + 19.136 = 19.(136 + 64) = 19.200 = 3800
b. 35.12 + 65.13 = 35.12 + 65.(12 + 1) = 35.12 + 35.12 + 65 = (35 + 65).12 + 65 = 1200 + 65 = 1265
c. 136.68 + 16.272 = 136.68 + 16.136.2 = 136.68 + 136.32 = 136.(68 + 32) = 136.100 = 13600
d. (2 + 4 + 6 + ... + 100) x (36 x 333 - 108 x 111) = (2 + 4 + 6 + ... + 100) x 0 = 0
e. 19991999 x 1998 - 19981998 x 1999 = 1999 x 10001 x 1998 - 1998 x 10001 x 1999 = 0
a) 19 .64 + 76.34
= 19.64 + 19.4.34
= 19(64 + 4.34)
= 19.200 = 3800
b) 35.12 + 65.13
= 35.12 + 65.12 + 65
= 12(35 + 65) + 65
= 12.100 + 65 = 1265
c) 136.68 + 16.272
= 136.68 + 16.2.136
= 136(68 + 16.2)
= 136.100= 13600
d) ( 2 + 4 + 6 + ...... + 100 ).( 36 x 333 - 108 x 111 )
= ( 2 + 4 + 6 + ...... + 100 ).(36.3.111 - 108.1110
= ( 2 + 4 + 6 + ...... + 100 ).(108.111 - 108.111)
= ( 2 + 4 + 6 + ...... + 100 ).0 = 0
e ) 19991999 x 1998 - 19981998 x 1999
= 1999.10001.1998 - 1998.10001.1999 = 0
3x8x76+2x35x12-4x11x6
= 24x76+24x35-24x11
= 24x(76+35-11)
=24x100
= 2400
3 x 8 x 76 + 2 x 35 x 12 - 4 x 11 x 6
= ( 3 + 2 ) x ( 8 + 35 ) x ( 76 + 12 ) - 4 x 11 x 6
= 5 x 43 x 88 - 4x 11 x 6
= ( 5-4 ) x ( 43 - 11 ) x ( 88 - 6 )
= 1 x 32 x 82
= 2624