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a) 22 + ( - 47 ) + ( - 153 ) + 8
= ( 22 + 8 ) - ( 47 + 153 )
= 30 - 200
= - 170
b) 9 + ( - 10 ) + 11 + ( - 12 ) + 13 + ( - 14 ) + 15 + ( - 16 )
= ( 9 - 10 ) + ( 11 - 12 ) + ( 13 - 14 ) + ( 15 - 16 )
= - 1 - 1 - 1 - 1
= - 4
c) 371 + ( - 271 ) + ( - 531 )
= ( 371 - 271 ) - 531
= 100 - 531
= - 431
d) ( - 18 ) - 54 + ( - 46 ) - 62
= ( - 18 - 62 ) - ( 54 + 46 )
= 80 - 100
= - 20
gọi đó là A đi.
Ta có:
1/13+1/14+1/14< 1/12+1/12+1/12=3/12=1/4
1/61+1/62+1/63< 1/60+1/60+1/60=3/60=1/20
=> 1/5+1/13+1/14+1/15+1/61+1/62+1/63<1/5+1/4+1/20=1/2
=>A< 1/2 (ĐPCM)
(-x)+(-62)-(-46)=-14
(-x)+[(-62)+(-46)]=-14
(-x)+(-108)=-14
-x-108=-14
-x=-14+108
-x=94
vậy x = 94
(-x)+(-62)-(-46)=-14
(-x)+[(-62)+(-46)]=-14
(-x)+(-108)=-14
-x-108=-14
-x=-14+108
-x=94
vậy x = 94
1) 18+14+16+35+110+160+150+145+158+140+55+25
= (14+16)+(35+25)+(145+55)+(140+160)+(158+18)+(110+150)
= 30+ 60 +200+ 300+ 176+ 260
= 590+ 436= 1026.
2) 62+ 78 +48+ 96+85+ 91
= (62 +48)+ (96 +85 +91+ 78)
= 110 + 350= 460.
3) 107 +439 + 666 +673+ 358 + 187
= (107 + 673) + ( 439 + 666) + ( 358+ 187)
= 780 + (1105 + 545)
= 780+ 1650= 2430.
4) 187 + 62+ 78+48+ 96+ 85+ 91+107+ 439+ 666+ 673+ 358
= (187 + 673) + ( 62+ 78)+ (439+ 91)+ ( 85+ 358+ 107)+ (666+ 96+ 48)
= (860+ 140)+ (530+ 550+ 810)
= 1000+ 1890= 2890.
- 62 + x = ( - 14 ) + 46 - x
x + x = ( - 14 ) + 46 + 62
2x = 94
x = 47
\(-62+x=\left(-14\right)+46-x\\ \Rightarrow x-62=32-x\\ \Rightarrow x-62-32+x=0\\ \Rightarrow2x-94=0\\ \Rightarrow2x=94\\ \Rightarrow x=47\\ b,5^{x+2}-5^x=10^2.6\\ \Rightarrow25.5^x-5^x=100.6\\ \Rightarrow24.5^x=600\\ \Rightarrow5^x=25\\ \Rightarrow5^x=5^2\\ \Rightarrow x=2\)
a: (-14)+(-16)+24
=-14-16+24
=-30+24
=-6
b: |-25|x71+29x25
\(=25\cdot71+25\cdot29\)
\(=25\left(71+29\right)=25\cdot100=2500\)
c: \(=132:\left(41+28-5^2\right)\)
\(=132:\left(69-25\right)=132:44=3\)
c: -62+x=-14+46
=>\(x-62=46-14=32\)
=>\(x=32+62=94\)
d: \(25+\left(x-5\right)=-123-\left(15-123\right)\)
=>\(x-5+25=-123-15+123\)
=>\(x+20=-15\)
=>\(x=-15-20=-35\)
-62 + x = -14 + 16
-62 + x = 2
x = 2 + 62
x = 64