tính nhanh: 135+86+65-36+17+50+83
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a. 4.37.25.50.12
=(4.25).(50.12).37
=100.600.37
=2220000
\(a.\left(4.50\right).\left(25.12\right).37\)
\(=200.300.37=2220000\)
\(b.\left(46+54\right)+\left(17+83\right)\)
\(=100+100=200\)
\(c.87.\left(36+69\right)=87.105=9135\)
\(d.\left(135+65\right)+\left(360+40\right)\)
\(=200+400=600\)
\(e.\left(463+137\right)+\left(318+22\right)\)
\(=600+340=940\)
A=17x32+64x83+36x83+68x17
A=17x32+17x68+64x83+36x83
A=17x(32+68)+83x(64+36)
A=17x100+83x100
A=100x(83+17)
A=100x100
A=10000
a)135-35.(-37)+37.(-42-48)=-4490
b)-65.(87-17)-87.(17-65)=-374
1.a. 86+357+14 = (86+14)+357 = 100+357 = 457
b. 72+69+128 = (72+128) +69 = 200+69 = 269
c. 25.5.4.27.2 = (25.4).(5.2).27=100.10.27=1000.27=27000
d. 28.64+28.36=28.(64+36)=28.100=2800
2. a. 135+360+65+40= (135+65)+(360+40)=200+400=600
b. 463+318+137+22 = (463+137)+(318+22)=600+340=940
c. = (20+30)+(21+29)+...+(24+26)+25
= 50+50+50+50+25
= 225
7) \(\frac{x+25}{75}+\frac{x+30}{70}=\frac{x+35}{65}+\frac{x+40}{60}\)
\(\Leftrightarrow\)\(\frac{x+25}{75}+1+\frac{x+30}{70}+1=\frac{x+36}{65}+1+\frac{x+40}{60}+1\)
\(\Leftrightarrow\)\(\frac{x+100}{75}+\frac{x+100}{70}=\frac{x+100}{65}+\frac{x+100}{60}\)
\(\Leftrightarrow\)\(\left(x+100\right)\left(\frac{1}{75}+\frac{1}{70}-\frac{1}{65}-\frac{1}{60}\right)=0\)
\(\Leftrightarrow\)\(x+100=0\) (vì 1/75 + 1/70 - 1/65 - 1/60 \(\ne\)0)
\(\Leftrightarrow\)\(x=-100\)
Vậy.....
7) \(\frac{x+25}{75}+\frac{x+30}{70}=\frac{x+35}{65}+\frac{x+40}{60}\)
\(\Leftrightarrow\)\(\frac{x+25}{75}+1+\frac{x+30}{70}+1=\frac{x+35}{65}+1+\frac{x+40}{60}+1\)
\(\Leftrightarrow\)\(\frac{x+100}{75}+\frac{x+100}{70}=\frac{x+100}{65}+\frac{x+100}{60}\)
\(\Leftrightarrow\)\(\left(x+100\right)\left(\frac{1}{75}+\frac{1}{70}-\frac{1}{65}-\frac{1}{60}\right)=0\)
\(\Leftrightarrow\)\(x+100=0\) (1/75 + 1/70 - 1/65 - 1/60 \(\ne\)0)
\(\Leftrightarrow\)\(x=-100\)
Vậy...
11+12+13+14+15+16+17+18+19+...+89+88+87+86+85+84+83+82
=( 11 + 89 )+(12+88)+(13+87)+(14+86)+(15+85)+(16+84)+(17+83)+(18+82)+19
=100+100+100+100+100+100+100+100+19
=800+19
=819
9: \(\dfrac{x-49}{50}+\dfrac{x-50}{49}=\dfrac{49}{x-50}+\dfrac{50}{x-49}\)
=>x-99=0
hay x=99
7: \(\Leftrightarrow\left(\dfrac{x+25}{75}+1\right)+\left(\dfrac{x+30}{70}+1\right)=\left(\dfrac{x+35}{65}+1\right)+\left(\dfrac{x+40}{60}+1\right)\)
=>x+100=0
hay x=-100
8:
Sửa đề: \(\dfrac{99-x}{101}+\dfrac{97-x}{103}+\dfrac{95-x}{105}+\dfrac{93-x}{107}=-4\)
\(\Leftrightarrow\left(\dfrac{99-x}{101}+1\right)+\left(\dfrac{97-x}{103}+1\right)+\left(\dfrac{95-x}{105}+1\right)+\left(\dfrac{93-x}{107}+1\right)=0\)
=>200-x=0
hay x=200
400
,.....................................
135 + 86 + 65 - 36 + 17 + 50 + 83
= ( 135 + 65 ) + 86 - 36 + ( 17 + 83 ) + 50
= 200 + 86 - 36 + 100 + 50
= 286 - 136 + 50
= 286 - 186
= 100