\(31.82+125.48+31.43+125.67\)

\(=31.\left(82+43\right)+125.\left(48+67\right)\)

\(=31.125+125.115\)
\(=125.\left(31+115\right)\)

\(=125.146\)

\(=18250\)

Ủng hộ mk nha ^_^

\(31.82+125.48+31.43-125.67\)

\(=31\left(82+43\right)-125\left(67-48\right)\)

\(=31.125-125.19\)

\(=125.12\)

\(=1500\)

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 \(n\in\left\{0;1;4;9\right\}\)

a ) 31 x ( - 125 ) + 225 x 31 

= 31 x [ ( - 125 ) + 225 ]

= 31 x 100

= 3100

b ) 26 x ( - 125 ) - 125 x ( - 36 )

= ( - 26 ) x 125 - 125 x ( - 36 )

= 125 x [ ( - 26 ) - ( - 36 ) ]

= 125 x 10

= 1250

a) 31 × (-125) + 225 × 31

= 31 x ( -125 + 225 )

= 31 x 100

= 3100

b) 26 × (-125) – 125 × (-36)

= -125 ( 26 - 36 ) 

= 125x 10

= 1250

d) 17 × (-37) – 23 × 37 – 46 × (-37)

= -629 - 851 + 1702

= 1480

a) 31 x (-125) + 225 x 31

= 31 x (-125 + 225)

= 31 x 100

= 3100

b) 26 x (-125) - 125 x (-36)

= 26 x (-125) - (-125) x 36

= (-125) x (26 - 36)

= (-125) x (-10)

= 1250

c) 29 x (-13) + 27 x (-29) + (-14) x (-29)

= (-29) x 13 + 27 x (-29) + (-14) x (-29)

= (-29) x (13 + 27 - 14)

= (-29) x 26

= -754

d) 17 x (-37) - 23 x 37 - 46 x (-37)

= 17 x (-37) - (-23) x (-37) - 46 x (-37)

= (-37) x (17 + 23 - 46)

= (-37) x (-6)

= 222

a) (26-6)*(-4)+31*(-7-13)

=-80+-620

=-700

hacker 2k6

a) 135 . (-27) + 27 . 235

= 27 . (235 - 135)

= 27 . 100

= 2700

b) 36 . (-125) - 125 . (-46)

= 125 . (-36 + 46)

= 125 . 10

= 1250

c) 32 . (-64) - 64 . 68

= 64.(-32 - 68)

= 64.(-100)

= -6400

d) (145 - 45) . (-31) + 31 . (-100)

= 100 . (-31) + 31.(-100)

= 100.(-31 - 31)

= 100.(-62)

= -6200

a)

=(-135)x27+27x235

=27x[+(235+135)]

=27x31725

=856575

b)

=(-36)x125-125x(-46)

=125x[-(36+46)]

=125x(-1656)

=-207000

c)

=(-32)x64-64x68

=64x[-(68-32)]

=64x(-36)

=-(64x36)

=-2304

d)

=100x(-31)+31x(-100)

=(-100)x31+31x(-100)

=31x[-(100+100)]

=31x(-200)

=-(31x200)

=-6200

chúc học tốt nhớ tích cho tui nha

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