435 − 167 − 89 − 435 − 89

=(435 − 435) − (167 + 89 + 89)

= −(256 + 89)

= -345

----------------------------------

(-67) + 125 + (-33) + 75

= [(-67) + (-33)] + (125 + 75)

= -100 + 200

= 100

95 - (129 - 74) : 5 + 2022⁰

= 95 - 55 : 5 + 1

= 95 - 11 + 1

= 95 - 10

= 85

-------

(-67) + 125 + (-33) + 75

= (125 + 75) - (67 + 33)

= 200 - 100

= 100

--------

86.(-108) + 86.9 - 86

= 86.(-108 + 9 - 1)

= 86.(-100)

= 8600

A) 576 

B) 267

a) 476 + 70 + 30

= 476 + (70 + 30)

= 476 + 100

= 576

b) 67 + 125 + 75

= 67 + (125 + 75)

= 67 + 200

= 267

a) 476+70+30 = 476+(70+30)

                        = 476+100

                        = 576

b) 67+125+75  = 67+ (125+75)

                         = 67+ 200

                          = 267

b. 0

c. 112

d. 1250

e. -78

f. -67

b) [(24+-67)]-[-67-(-24)]=0
c) 2^3.17-2^3.14=112
d) 26.(-125)-125.(-36)=1250
e) 48-6(12+9)=-78
f) (-67).(1-301)-301.67=-67

\(\left(-67\right)+125+\left(-33\right)+75\)

\(=\left[\left(-67\right)+\left(-33\right)\right]+\left(125+75\right)\)

\(=100+200=300\)

_______

\(86.\left(-108\right)+86.9-86\)

\(=86.\left[\left(-108\right)+9-1\right]\)

\(=86.\left(-100\right)=-8600\)

_______

\(23.\left(-16\right)-23.84+300\)

\(=23.\left[\left(-16\right)-84\right]+300\)

\(=23.\left(-100\right)+300\)

\(=-2300+300\)

\(=-2000\)

______

\(235-5\left[\left(5^3-3^3\right):14\right]\)

\(=235-5\left[\left(125-27\right):14\right]\)

\(=235-5\left[98:14\right]\)

\(=235-5.7\)

\(=235-35\)

\(=200\)

_______

\(95-\left(129-74\right):5+2022^0\)

\(=95-55:5+1\)

\(=95-11+1\)

\(=84+1=85\)

\(#NqHahh\)

c: =-67+67=0

a) (-119).(-125).4.(-8).(-25) = [(-125).(-8)].[(-25).(-4)].(-119) = 1000.100.(-119) = 100000.(-119) = -11900000

b) (-67).(-1)^200.(-8).125.(-1)^2n+1 = -67.1.[(-8).125].(-1) = -67.(-1000).(-1) = 67000 . (-1) = -67000

c) -67.52-48.67 = 67.(-52)-48.67 = 67. (-52-48) = 67.(-100) = -6700

d)42.(-119)+119.(-58) = -42.119+119.(-58)=119.[-42+(-58)] = 119.(-100)=-11900

1.

a) \(125+80+375+220\)

\(=\left(125+375\right)+\left(80+220\right)\)

\(=500+300\)

\(=800\)

b) \(25.11.8.4.125\)

\(=\left(25.4\right).\left(8.125\right).11\)

\(=100.1000.11\)

\(=1100000\)

c) \(18.74+18.27-18\)

\(=18.\left(74+27-1\right)\)

\(=18.100\)

\(=1800\)

d) \(75.23+75.77-500\)

\(=75.\left(23+77\right)-500\)

\(=75.100-500\)

\(=7500-500\)

\(=7000\)

e) \(150:\left[25.\left(18-4^2\right)\right]\)

\(=150:\left[25.\left(18-16\right)\right]\)

\(=150:\left[25.2\right]\)

\(=150:50\)

\(=3\)

f) \(125.23.2.8.50\)

\(=\left(125.8\right).\left(2.50\right).23\)

\(=1000.100.23\)

\(=2300000\)

g) \(235+88+165+12\)

\(=\left(235+165\right)+\left(88+12\right)\)

\(=400+100\)

\(=500\)

h) \(71.32+71.68-1100\)

\(=71.\left(32+68\right)-1100\)

\(=71.100-1100\)

\(=7100-1100\)

\(=6000\)

i) \(6^7:6^6+4^3.2-24^0\)

\(=6+64.2-1\)

\(=6+128-1\)

\(=133\)

j) \(546-6.\left[158:\left(30+7^2\right)\right]\)

\(=546-6.\left[158:\left(30+49\right)\right]\)

\(=546-6.\left[158:79\right]\)

\(=546-6.2\)

\(=546-12\)

\(=534\)

k) \(268+147+132+253\)

\(=\left(268+132\right)+\left(147+253\right)\)

\(=400+400\)

\(=800\)

2. 

a) \(7x=707\)

\(x=707:7\)

\(x=101\)

b) \(6x+5=47\)

\(6x=47-5\)

\(6x=42\)

\(x=42:6\)

\(x=7\)

c) \(35:\left(x+1\right)=7\)

\(x+1=35:7\)

\(x+1=5\)

\(x=5-1\)

\(x=4\)

d) \(12+\left(29-3x\right)=35\)

\(29-3x=35-12\)

\(29-3x=23\)

\(3x=29-23\)

\(3x=6\)

\(x=6:3\)

\(x=2\)

e) \(2.4^x+10^1=138\)

\(2.4^x=138-10\)

\(2.4^x=128\)

\(4^x=128:2\)

\(4^x=64=4^3\)

\(\Rightarrow x=3\)

f) \(7x=140\)

\(x=140:7\)

\(x=20\)

g) \(7\left(15-x\right)+14=84\)

\(7\left(15-x\right)=84-14\)

\(7\left(15-x\right)=70\)

\(15-x=70:7\)

\(15-x=10\)

\(x=15-10\)

\(x=5\)

h) \(3^x.5-15=390\)

\(3^x.5=390+15\)

\(3^x.5=405\)

\(3^x=405:5\)

\(3^x=81=3^4\)

\(\Rightarrow x=4\)

3.

Ta có:

\(\Rightarrow n+11⋮n+1\)

\(\Rightarrow n+1+10⋮n+1\)

\(\Rightarrow10⋮n+1\) hay \(n+1\inƯ\left(10\right)=\left\{-10;-5;-2;-1;1;2;5;10\right\}\)

\(\Rightarrow\) \(n\in\left\{-11;-6;-3;-2;0;1;4;9\right\}\)

Vì \(n\in N\) nên \(n\in\left\{0;1;4;9\right\}\)