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a)(-6-18):(-4)
= { (-6) + (-8) } : (-4)
=(-24) : (-4)= (-6)
b)-28.(50-42)-35.(34-62)
= -28.8-35.(-28)
= -28.(8-35)
= -28.(-27)=756
c)-18-(-5)+26
= -18+5+26
= -13+26=13
d)-72.69+31.(-72)
= -72.(69+31)
= -72.100=-7200
\(a)\)
\(\left(-31\right)+\left(50-19\right)-\left(150-31\right)\)
\(=\left(-31\right)+50-19-150+31\)
\(=\left(-150\right)-19\)
\(=-169\)
\(b)\)
\(25.\left(45-17\right)-45.\left(25-17\right)\)
\(=25.45-25.17-45.25+45.17\)
\(=0\)
\(c)\)
\(\frac{-1}{12}+\frac{4}{3}=\frac{5}{4}\)
\(d)\)
\(3+\frac{-5}{20}+\frac{30}{75}+\frac{-7}{4}\)
\(=\left(\frac{3}{5}+\frac{30}{75}\right)-\left(\frac{5}{20}+\frac{7}{4}\right)\)
\(=1-2\)
\(=-1\)
a) (-31)+(50-19)-(150-31)
= (-31)+50+(-19)-150+(-31)
= (-31)+50-150+(-19)-(-31)
= (-31)+(-100)+12
= -119
b) 25(45-17)-45(25-17)
= 25.45-25.17-45.25-45.17
= 25(45-45)-25(17-17)
= 0
c) -1/12 + 4/3
= -1/12 + 16/12
= 15/12
= 5/4
d) 3/5+(-5)/20+30/75+(-7)/4
= 45/75+30/75+(-5)/20+(-35)/20
= 1+(-2)
= -1
Bài 6:
a)\(\left(-18\right)-\left(-3\right)-12\)
\(=\left(-18\right)+3-12\)
\(=-15-12\)
\(=-27\)
b)\(85.\left(35-27\right)-35.\left(85-27\right)\)
\(=85.35-85.27-35.85+35.27\)
\(=85.\left(35-27-35\right)+35.27\)
\(=85.\left(-27\right)+35.27\)
\(=27.\left(-85+35\right)\)
\(=27.\left(-50\right)\)
\(=-1350\)
c)\(\left(-45\right).69+31.\left(-45\right)\)
\(=\left(-45\right).\left(69+31\right)\)
\(=\left(-45\right).100\)
\(=-4500\)
Bài 7:
a)\(\left(2-x\right)+10=-14\)
\(\Rightarrow2-x=-24\)
\(\Rightarrow x=26\)
b)\(14.\left|x\right|=28\)
\(\Rightarrow\left|x\right|=2\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-2\end{cases}}\)
c)\(31-\left(17+x\right)=55\)
\(\Rightarrow17+x=-24\)
\(\Rightarrow x=-41\)
Bài 6: Thực hiện phép tính
a)(-18)-(-3)-12
= (-18) + 3 - 12
= (-15) - 12
= - 3
b)85.(35-27)-35.(85-27)
= 85. 8 - 35. 58
= 680. 2030
= 1380400
c)(-45).69+31.(-45)
= (-45) . (69 + 31)
= (-45) . 100
= - 4500
Bài 7:Tìm x thuộc Z, biết:
a)(2-x)+10=-14
2-x = 14 - 10
2-x = 4
x = 2 - 4
x = - 2
b)14.|x|=28
|x| = 28 : 14
|x| = 2
⇒ x ϵ {2;-2}
a) 45 x 76 + 90 x 12
= 45 x 76 + 45 x 2 x 12
= 45 x 76 + 45 x 24
= 45 x ( 76 + 24 )
= 45 x 100
= 4500
b) 2 x 31 x 12 + 4 x 6 x 69
= 24 x 31 + 24 x 69
= 24 x ( 31 + 69 )
= 24 x 100
= 2400
c) 36 x 28 + 36 x 82 + 64 x 69 + 64 x41
= 36 x ( 28 + 82 ) + 64 x ( 69 + 41 )
= 36 x 110 + 64 x 110
= 110 x ( 36 + 64 )
= 110 x 100
= 11 000
d) 156 ( x + 61) = 82
=> x + 61 = \(\frac{82}{156}\)
=> x + 61 = \(\frac{41}{78}\)
=> x = \(\frac{41}{78}\)- 61
=> x = \(\frac{-4717}{78}\)
45 x 76 + 90 x 12 = 45 x 76 + 45 x 2 x 12
= 45 x 76 + 45 x 24
= 45 x (76 + 24)
= 45 x 100
= 4500
b) 2 x 31 x 12 + 4 x 6 x 69 = 62 x 12 + 2 x 12 x 69
= 62 x 12 + 138 x 12
= (62 + 138) x 12
= 200 x 12 = 2400
Bài 2:
a. $=62-81-12+59-9=(62-12)+(59-9)-81$
$=50+50-81=100-81=19$
b. $=39+13-26-62-39=(39-39)+13-(26+62)$
$=0+13-88=-(88-13)=-75$
c. $=(32-42)+(36-34)+(40-38)=10+2+2=14$
d. $=92-55+8-45=(92+8)-(55+45)=100-100=0$
Bài 1:
a. $=(387-87)-224=300-224=76$
b. $=-(75+35)+379=-110+379=379-110=269$
c. $=(11+15)-(13+17)=25-30=-5$
d. $=(31-21)-(27-24)=10-3=7$
a) \(-415+\left(-210\right)-367+62\)
= \(-625-367+62\)
= \(-992+62\)
= \(-930\)
b) \(-69\left|-45\right|-31\left|45\right|\)
= \(-69.45-31.45\)
= \(45\left(-69-31\right)\)
= \(45.\left(-100\right)\)
= \(-4500\)
c) \(3\left(-4\right)+2\left(-50\right)-12\)
= \(-12+\left(-100\right)-12\)
= \(-112-12\)
= \(-124\).
a)-415+(-210)-367+62
=[-415+(-210)]-(367-62)
=-625-305=-930
b)-69*|-45|-31*|45|
=-69*45-31*45
=(-69-31)*45
=-100*45
=-4500
c)3*(-4)+2*(-50)-12
=-12+100-12
=-24+100
=76