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\(a,x.\left(x+3\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x+3=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=-3\end{cases}}}\)
\(b,30.\left(x+2\right)-6\left(x-5\right)-24x=100\)
\(30x+60-6x-30-24x=100\)
\(x.\left(30+60-6-30-24\right)=100\)
\(x.30=100\)
\(x=\frac{10}{3}\)
72x(28-49)+28x(-49-72)
=72x(-21)+28x(-121)
=-1512+(-3388)
=-49900
Có 2 cách hiểu
+ ) 72x( 28 - 49 ) + 28x( -49 - 72)
= 72x . 28 - 72x . 49 - 28x . 49 - 28x . 72
= -72x . 49 - 28x . 49
= 49 . ( - 100x )
+) 72 . ( 28 - 49 ) + 28 . ( -49 - 72 )
= 72 . 28 - 72 . 49 -28 . 49 - 28 . 72
= -72 . 49 -28 . 49
= 49 . ( -100 ) = -4900
a) \(\left(-25\right).5.\left(-4\right).2\)
\(=\left[\left(-25\right).\left(-4\right)\right].\left(2.5\right)\)
\(=100.10=1000\)
b) \(\left(-456\right)-\left(67-456\right)\)
\(=-456-67+456\)
\(=\left(456-456\right)-67\)
\(=67\)
45-58+(-45)+(+58)-3=45-58-45+58-3=(45-45)+(58-58)-3=-3
(-57)-(-12)+3-(-57)=-57+12+3+57=(-57+57)+12+3=15
-(-24)-(-30)+(-24)-30+8=24+30-24-30+8=(24-24)+(30-30)+8=8
-(-12)+(+19)-(+12)+8-19=12+19-12+8-19=(12-12)+(19-19)+8=8
47-(-53)+(-47)-(+53)=47+53-47-53=(47-47)+(53-53)=0
-(+28)+32-(-28)+(-34)=-28+32+28-34=(-28+28)-(34-32)=-2
15-(+72)+(-15)+(+72)=15-72-15+72=(15-15)+(72-72)=0
20-(+46)+(-25)-(-46)=20-46-25+46=(20-25)+(46-46)=-5
28-(-32)+(-28)-32+5=28+32-28-32+5=(28-28)+(32-32)+5=5
-75+(-49)+(+75)+49-12=-75-49+75+49-12=(-75+75)+(49-49)-12=-12
\(...=45-58-45+58-3=-3\)
\(...=-57+12+3+57=15\)
\(...=24+30-24-30+8=8\)
\(...=12+19-12+8-19=8\)
\(...=47+53-47-53=0\)
\(...=-28+32+28-34=-2\)
\(...=15-72-15+72=0\)
\(...=20-46-25+46=-5\)
\(=...28+32-28-32+5=5\)
\(...=-75-49+75+49-12=-12\)
A)
-65.(87-17)-87.(17-65)
=-65.87-(-65).17-87.17-87.(-65)
=-(-65).17-87.17
=65.17-87.17
=17.(65-87)
=17.(-22)
=-374
B)
72.(28-49)+28.(-49-72)
= 72.28-72.49+28.(-49)-28.72
= -72.49+28.(-49)
= 72.(-49)+28.(-49)
= (-49).(72+28)
= -49.100
=-4900
C)
18-(-27)+63-(63+27)
= 18+27+63-63-27
= 45+0-27
= 45+(-27)
=45-27
=18
KICK MÌNH NHÁ
1. a, 35x67+35x33=35x100=3500
b,8x39x125=8x125x39=1000x39=39000
5. a, ( -15)-|-7|=(-15)-7=-18
b, |-15|-|18|=15-18=-3
X+(-72)=(-28)+(-72)=-100
1.thực hiện phép tính ( hợp lý nếu có thể)
a) 35. 67 + 35. 33 = 35 . ( 67 + 33 ) = 33 . 100 = 3300
b) 8.39.125 = ( 8 . 125 ) . 39 = 1000 . 39 = 39000
a) 3.(15 − 5)2 − 215: 213 = 3.10.2-215:213 = 60 - 1,00... = (bạn tự tính)
b) 2.(3.52 – 12) =2.(156-12)=2.144=288
c) 52 − 24 : 23 =52-1,043478261 =51,043478261
a )2340 : [5. 89 - (125 + 5 . 72) + 5 . 11]
= 2340 : [445-(125+360)+55]
= 2340 : [445-485+55]
= 2340:15
=156
b) 30: {20- [5 + (5 – 2 )2]}=30:{20-[5+3.2]}=30:{20-11}=30:9=3,(3)
a) (−7) + (− 5) =-12
b) 2013 + [ 340 + ( − 2013)]=2013+340+(-2013)=[2013+(-2013)]+340=0+340=340
a) (– 15) – | − 7 |; =-15-7=-22
b) | − 15| − | 18 | =15-18=-3
Tính giá trị của biểu thức: x + (−72), biết x = − 28.
Thay x=-28 vào x+(-72) ta được:
=> -28+(-72)=-100
a) ( -12 ) + ( - 9 ) + 121 + | -20 |
= ( - 21 ) + 121 + 20
= [ ( - 21) + 121 ] + 20
= 100 + 20
= 120
b) 49.125 - 49 .25
= 49 .( 125 -25 )
= 49. 100
= 4900
c) 20 -[ 30 - ( 5- 1)2 ]
= 20 - ( 30 - 42 )
= 20 - ( 30 - 16 )
= 20 - 14
= 6
d) 28 . 76 + 44.28 -28.20
= 28 .( 76 + 44 -20)
= 28 . 100
= 2800
1.a) 4.(12+88) = 4.100=400
b)72- 6 .[2.8:8 ]=72-6.[16:8]=72-6 .2= 49-12=37 ( tui ko chắc lắm )
2.a) x=26-11=15
b) (4x-15)3=53
4x-15=5
4x= 5+15
4x=20
vậy x = 20
Bài 2:
a: Ta có: x+11=26
nên x=15
b: Ta có: \(\left(4x-15\right)^3=125\)
\(\Leftrightarrow4x-15=5\)
hay x=5
a: \(61\cdot45+61\cdot23-68\cdot51\)
\(=61\left(45+23\right)-68\cdot51\)
\(=68\cdot61-68\cdot51\)
\(=68\left(61-51\right)=68\cdot10=680\)
b: \(3\cdot5^2-\left(75-4\cdot2^3\right)\)
\(=75-75+4\cdot8\)
\(=4\cdot8=32\)
c: \(36:\left\{2^2\cdot5-\left[30-\left(5-1\right)^2\right]\right\}\)
\(=\dfrac{36}{20-30+4^2}\)
\(=\dfrac{36}{-10+16}=\dfrac{36}{6}=6\)
d: \(\left(12\cdot49-3\cdot2^2\cdot7^2\right):\left(2020\cdot2021\right)\)
\(=\dfrac{\left(12\cdot49-12\cdot49\right)}{2020\cdot2021}=0\)
a ) 5 . ( - 2 ) . ( - 3 )
= ( - 10 ) . ( - 3 )
= 30
b ) ( - 20 ) + ( - 12 ) - ( - 4 )
= ( - 20 ) + ( - 12 ) + 4
= ( -20 ) + [ ( - 12 ) + 4 ]
= ( - 20 ) + ( - 8 )
= - 28
c . 78 . 45 - 145 . 78
= 78 . ( 45 - 145 )
= 78 . ( - 100 )
= - 7800