Bài 1:Tính
a) (-105)-75
b) 145+(-245)
c) 87-113
d) (-310)+(-90)
e) (-825)+(775+825)
g) ( 163-413)-(183-637)
Bài 2:Tìm x,biết:
a) x+24=-15-4
b) x + 73=-127
c) /x -1/=/-10/+2
d) x +145=131-(-169)
e) x-96=443=(-15)
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Lời giải:
a. $=128-78+100-128=(128-128)+100-78=0+100-78=22$
b. $=125-100+93-218= (125+93-218)-100=0-100=-100$
c. $=453+74-79-527$
$=(453+74-527)-79 =0-79=-79$
d.
$=-825+775+825=(825-825)+775=0+775=775$
e.
$=163-413-187+637 = (163+637)-(413+187) = 800-600=200$
2,
a) \(315-\left(135-x\right)=215\)
\(\Rightarrow135-x=315-215\)
\(\Rightarrow135-x=100\)
\(\Rightarrow x=135-100\)
\(\Rightarrow x=35\)
b) \(x-320:32=25\cdot16\)
\(\Rightarrow x-10=5^2\cdot4^2\)
\(\Rightarrow x-10=20^2\)
\(\Rightarrow x-10=400\)
\(\Rightarrow x=410\)
c) \(3\cdot x-2018:2=23\)
\(=3\cdot x-1009=23\)
\(\Rightarrow3\cdot x=1032\)
\(\Rightarrow x=1032:3\)
\(\Rightarrow x=344\)
d) \(280-9\cdot x-x=80\)
\(\Rightarrow280-x\cdot\left(9+1\right)=80\)
\(\Rightarrow280-10\cdot x=80\)
\(\Rightarrow10\cdot x=280-80\)
\(\Rightarrow10\cdot x=200\)
\(\Rightarrow x=20\)
e) \(38\cdot x-12\cdot x-x\cdot16=40\)
\(\Rightarrow x\cdot\left(38-12-16\right)=40\)
\(\Rightarrow x\cdot10=40\)
\(\Rightarrow x=40:10\)
\(\Rightarrow x=4\)
a, (x + 30) – 75 = 125
=> x + 30 = 125 + 75 = 200
=> x = 200 – 30
=> x = 170
Vậy x = 170
b, x – 72 : 36 = 18
=> x – 2 = 18
=> x = 18 + 2 = 20
Vậy x = 20
c, x – 17 = 54
=> x = 54 +17
=> x = 71.
Vậy x = 71
d, 36 – (x – 2) = 12
=> x – 2 = 36 – 12
=> x = 24 + 2 = 26
Vậy x = 26
e, 9x – 7 = 837
=>9x = 837 + 7 = 844
=> x = 844 9
Vậy x = 844 9
f, (x – 15) – 107 = 0
=> x – 15 = 107
=> x = 107 +15
=> x = 122.
Vậy x = 122
g, 134 + (116 – x) = 145
=> 116 – x = 145 – 134
=> x = 116 – 11
=> x = 5.
Vậy x = 5
a, 54 x 113 + 54 x 113 + 113
= 113 x ( 54 + 54 + 1 )
= 113 x 109
= 12 317
b, ( 532 x 7 - 266 x 14 ) x ( 532 x 7 + 266 )
= ( 266 x 2 x 7 - 266 x 14 ) - ( 532 x 7 + 266 )
= 266 x ( 2 x 7 - 14 )
= 266 x ( 14 - 14 )
= 266 x 0
= 0
c, 117 x ( 36 + 62 ) - 17 x ( 62 + 36 )
= 117 x 98 - 17 x 98
= 98 x ( 117 - 17 )
= 98 x 100
= 9800
d, ( 145 x 99 + 145 ) - ( 143 x 101 - 143 )
= 145 x ( 99 + 1 ) - 143 x ( 101 - 1 )
= 145 x 100 - 143 x 100
= 14500 - 14300
= 200
e, 45 x 16 - 17
______________
45 x 15 + 28
Ta có : 45 x 16 - 17
= 720 - 17
= 703
Ta có : 45 x 15 + 28
= 675 + 28
= 703
Vậy 45 x 16 - 17 703
______________ = _____________ = 1
45 x 15 + 28 703
( * giải thích thêm : __________ chính là dấu chia đó )
1 :-37+37+14+16=30
2:-24+24+10+6=16
3:-23+23+{-25+15}=-10
4:-33+33+{-50+60}=10
bai2
1:-7264+7264+1543=1543
2:144-144-97=-97
3:-145+145-18=-18
4:111-11+27=127
Bài 1:
1) (-37) + 14 + 26 + 37
= ( 37 - 37) + ( 14+26)
= 0 + 40
= 40
2) ( -24) + 6 + 10 + 24
= ( 24-24) + 10 + 6
= 0 + 16
= 16
3) 15 + 23 + (-25) + ( -23)
= ( 15 - 25) + ( 23 - 23)
= -10 + 0 = -10
4) 60 + 33 + ( -50) + ( -33)
= ( 33-33) + ( 60 - 50)
= 0 + 10
= 10
Bài 1.Tính nhanh
a) 27 + 125 + 73
= (27 + 73) + 125
=100 + 125 = 325
b) 217 + 31 + 46 + 183 + 154
= (217 + 183) + (46 + 154) + 31
= 400 + 200 + 31
=631
c) 37.38 + 62.37
= 37.(38 + 62)
= 37 . 100
= 3700
d) 67.99
= 67.( 100 - 1)
= 67 . 100 - 67
= 6700 - 67 = 6633
e) 25.52.4
= (25 . 4) .52
= 100 . 52
= 5200
g)125.28.8.25
= 125 . 4 . 7. 4 . 2 . 25
= (125 . 4) . (4 . 25). 14
= 500 . 100 . 14
= 7000000
=
Bài 2.Tìm x, biết:
a) x−14=75
=> x = 75 + 14
=> x = 89
Vậy x = 89
b)x+28=183
=> x = 183 - 28
=> x = 155
vậy x = 155
c)x−32=53
=> x = 53 + 32
=> x = 85
vậy x = 85
d)x+19=29
=> x = 29 - 19
=> x = 10
vậy x = 10
e)(x+1).21=357
=> x + 1 = 357 : 21
=> x + 1 = 17
=> x = 17 - 1
=> x = 16
vậy x = 16
g)(x+2):20=15
=> x + 2 = 15 . 20
=> x + 2 = 300
=> x = 300 - 2
=> x = 298
vậy x = 298
h)(2x+1).243=729
=> 2x + 1 = 729 : 243
=> 2x + 1 = 3
=> 2x = 2
=> x = 1
vậy x = 1
i)(4x−16):49=16
=> 4x−16 = 16 . 49
=> 4x - 16 = 784
=> x - 4 = 784 : 4
=> x - 4 = 196
=> x = 200
vậy x = 200
Bài 2:
a: x+24=-15-4=-19
=>x=-19-24=-43
b: x+73=-127
=>x=-127-73=-200
c: |x-1|=|-10|+2=10+2=12
=>x-1=12 hoặc x-1=-12
=>x=13 hoặc x=-11
d: x+145=131-(-169)=131+169=300
=>x=155
e: x-96=443-(-15)=443+15=458
=>x=554