Tính nhanh
A) 37 x 46 + 37 x 51 + 111
B) 35 x 215 - 35 x 210 - 175
E) 76 x 102 - 76 x 2
C) 85 x 94 + 85 x 2 + 170 x 2
48 x 56 + 28 x 104
G) 206 x 12 - 206 - 206
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\(37\times46+37\times51+111\)
\(=37\times46+37\times51+37\times3\)
\(=37\times\left(46+51+3\right)\)
\(=37\times100\)
\(=3700\)
------------
\(172\times47+86\times8-34\times4\)
\(=172\times47+172\times4-34\times4\)
\(=172\times\left(47+4\right)-34\times4\)
\(=172\times51-34\times4\)
\(=172\times3\times17-17\times2\times4\)
\(=17\times\left(172\times3-2\times4\right)\)
\(=17\times\left(516-8\right)\)
\(=17\times508\)
\(=8636\)
------------
\(35\times215-35\times200-175\)
\(=35\times215-35\times200-35\times5\)
\(=35\times\left(215-200-5\right)\)
\(=35\times10\)
\(=350\)
------------
\(48\times56+28\times104\)
\(=48\times2\times28+28\times104\)
\(=28\times\left(48\times2+104\right)\)
\(=28\times200\)
\(=5600\)
a) \(37\times46+37\times51+111\)
\(=37\times46+37\times51+37\times3\)
\(=37\times\left(46+51+3\right)\)
\(=37\times100\)
\(=3700\)
b) \(35\times215-35\times210-175\)
\(=35\times215-35\times210-35\times5\)
\(=35\times\left(215-210-5\right)\)
\(=35\times0\)
\(=0\)
c) \(172\times47+86\times8-34\times4\)
\(=4\times\left(43\times47+86\times2-34\right)\)
\(=4\times\left(2021+172-34\right)\)
\(=4\times2159\)
\(=8636\)
d) \(48\times56+28\times104\)
\(=48\times56+56\times52\)
\(=56\times\left(48+52\right)\)
\(=56\times100\)
\(=5600\)
a, x - 43 = ( 35 - x ) - 48
\(x-43=35-x-48\)
\(x+x=35-48+43\)
\(2x=30\)
\(x=15\)
b, 305 - x + 14 = 48 + ( x - 23 )
\(305-x+14=48+x-23\)
\(-x-x=48-23-14-305\)
\(-2x=-294\)
\(x=147\)
c, ( x - 6 + 85 ) = ( x + 51 ) - 54
\(x-6+85=x+51-54\)
\(x-x=51-54-85+6\)
\(0=-82\)
\(x\in\varnothing\)
d, -( 35 - x ) - ( 37 - x ) = 33 - x
\(-35+x-37+x=33-x\)
\(x+x+x=33+37+35\)
\(3x=105\)
\(x=35\)
e, - 12. ( x - 5 ) + 7 . ( 3 - x ) = 5
\(-12x+60+21-7x=5\)
\(-12x-7x=5-21-60\)
\(-19x=-76\)
\(x=4\)
f, 30. ( x+ 2 ) - 6 . ( x - 5 ) - 24 = 100
\(30x+60-6x+30-24=100\)
\(30x-6x=100+24-30-60\)
\(24x=34\)
\(x=\frac{17}{12}\)
chúc bạn học tốt
Bài 1:
a) \(24 - (-15) - 2\)
\(=39-2\)
\(=37\)
b) \((-85) + 10 - (-85) - 50\)
\(=[(-85)-(-85)]+10-50\)
\(=0+10-50\)
\(=10-50\)
\(=-40\)
c) \(71 - (-30) - (+18) + (-30)\)
\(=[(-30)-(-30)]+71-(+18)\)
\(=0+71-18\)
\(=71-18\)
\(=53\)
d) \(-(30) - (+37) + (+37) + (-85)\)
\(=[-(+37)+(+37)]-(30)+(-85)\)
\(=0-(30)+(-85)\)
\(=(-30)+(-85)\)
\(=-115\)
e) \((35-815) - (795-65)\)
\(=(-780)-730\)
\(=-1510\)
g) \((2002-79+15) + (-79+15)\)
\(=1938+(-64)\)
\(=1874\)
Bài 2:
a) \(25 - (30+x) = x - (27-8)\)
\(25-30-x=x-27+8\)
\(x+x=25-30+27-8\)
\(2x=14\)
\(x=14\div2\)
\(x=7\)
b) \((x-12) - 15 = (20-17) - (18+x) \)
\(x-12-15=13-18-x\)
\(x-27=-5-x\)
\(x+x=-5+27\)
\(2x=22\)
\(x=22\div2\)
\(x=11\)
c) \(15 - x = 7 - (-2)\)
\(15-x=9\)
\(x=15-9\)
\(x=6\)
d) \(x - 35 = (-12) - 3\)
\(x-35=-15\)
\(x=-15+35\)
\(x=20\)
e) \(\left|5-x\right|-26=-15\)
\(\left|5-x\right|=-15+26\)
\(\left|5-x\right|=11\)
Từ đây ta có:
*Nếu \(5-x=11\)
\(x=5-11\)
\(x=-6\)
*Nếu \(5-x=-11\)
\(x=5-(-11)\)
\(x=16\)
Vậy \(x=-6;x=16\)
1, ( - 12 ) - ( 13 - x ) = - 15 - ( - 17 )
=> - 12 - 13 + x = - 15 + 17
=> - 25 + x = 2
=> x = 2 + 25
=> x = 27
2, 305 - x + 14 = 48 + ( x - 23 )
=> 305 - x + 14 = 48 + x - 23
=> x + x = 305 + 14 - 48 + 23
=> 2x = 294
=> x = 147
3, - ( x - 6 + 85 ) = ( x + 51 ) - 54
=> - x + 6 - 85 = x + 51 - 54
=> x + x = 6 - 85 - 51 + 54
=> 2x = - 76
=> x = - 38
4, - ( 35 - x ) - ( 37 - x ) = 33 - x
=> - 35 + x - 37 + x = 33 - x
=> x + x + x = 33 + 35 + 37
=> 3x = 105
=> x = 35
A, 2 x 26 x 5 =( 5 x 2) x 26
10 x 26
=260
b,4 x 37 x 25 =( 4 x 25) x 26
= 100 x 26
= 3700
c, 25 x 5 x 4 x 27 x 2 =( 25 x 4 ) x ( 2x 5) x 27
= 100 x 10 x 27
= 1000x 27
=27000
d,28 x 64 + 28 x 36 = 28 x ( 64 + 36 )
= 28 x 100
=2800
e, 769 x 85 - 769 x 75 = 769 x ( 85 - 75 )
=769 x 10
=7690
f, 56 x 37 + 56 x 63 = 56 x ( 37 + 63 )
= 56 x 100
=5600
a. = 26 x (2 x 5)
= 26 x 10 =260
b.=( 25x4) x37
=100 x37=3700
c.=(25x4) x(5x2) x27
=100 x10 x27
= 27000
d.=28 x( 64+36)
=28 x100
= 2800
e.=769 x( 85-75)
=769 x10 =7690
f. =56 x(37 +63)
=56 x100
= 5600
1,x-43=(35-x)-48
=>x-43=35-x-48
=>x+x=35-48+43
=>2x=30
=>x=15
Vậy x=15
2,305-x+14=48+(x-23)
=>305-x+14=48+x-23
=>305+14+23-48=x+x
=>294=2x
=>x=294:2
=>x=147
3,-(x-6+85)=(x+51)-54
=>-x+6-85=x+51-54
=>6-85-51+54=x+x
=>-76=2x
=>x=(-76):2
=>x=-38
4,-(35-x)-(37-x)=33-x
=>-35+x-37+x=33-x
=>-35+(-37)+(-33)=-x-x-x
=>-105=-3x
=>x=(-105):(-3)
=>x=35
5,13-\(|x|=|-4|\)
=>13-\(|x|\)=4
=>13-4=\(|x|\)
=>9=\(|x|\)
=>x=9 hoặc x=-9
5) 13 - |x| = |-4|
=> 13 - |x| = 4
|x| = 13-4 = 9
Vậy x=9 hoặc x=-9
4) - (35-x) - (37-x) = 33-x
<=>-35 + x - 37 + x = 33-x
<=> -35 - 37 + x + x = 33-x
-72 + 2x = 33 - x
Theo quy tắc chuyển vế, ta có
-72 - 33 = - 2x + x
-105 = - (2x+x)
-105 = -3x
=> x = (-105) : (-3) = 35
Vậy x=35
Mk chỉ làm đc hai câu thôi. Mk có việc nên ko thể làm tiếp đc cho bạn nữa nha...
`@` `\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