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a) - 72 . ( 15 - 49 ) + 15 . ( - 56 + 72 ) = -72 . -34 +15 . 16
= 2448 + 240
= 2688
b) 1532 + ( -168 ) + ( - 1432 ) + ( - 14 ) + 123 = 1364 + ( -1432) + ( -14) +123
= -68 + ( -14 ) +123
= -82 + 123 = 41
c) 75 - 5 . ( 15 - 40 ) - ( - 60 ) = 75 - 5 . (-25 )-(-60)
= 75 - (-125) - ( -60 )
= 200 - ( -60 ) = 260
d) | 31 -17 | - | 15 - 52 | = | 14 | - | -37 |
= 14 - 37
= -23
a, 53.(-15)+(-15).47
=(-15)(53+47)
=(-15).100
=-1500
b, 43.(53-81)+53.(81-43)
=43.(-28)+53.38
=810
c,(-5).8+53.(81-43)
=-45+53.38
=1969
d, ban tu giai nốt
a,-15 . (53+47)
= -15 . 100
=-1500
b,43.53-43.81+53.81-43.53
=(43.53-43.53)+81.(-43+53)
= 0 + 81.10
=0+810
=810
c,-40+-8
=-48
d,3.16+(-10)-20
=48+(-10)-20
=38-20
=18
Bài 7: Thực hiện phép tính (tính hợp lí nếu có thể)
a) 78 349 – 10 240 + 56 711
= ( 78 349 + 56 711 ) – 10 240
= 635060 - 10240
= 624820
b) 234. 66 + 54. 80
= 15444 + 4320
= 19760
c) 13. 89 – 43. 17 + 339. 7
= 1157 - 731 + 2373
= (1157 + 2373) - 731
= 3530 - 731
= 2799
d) 2 085 – 1 196 : 26
= 2 085 – 46
= 2039
e) 214. 72 – 45. 214 – 214.27
= 214.( 72 – 45 – 27 )
= 214 . 0
= 0
\(a,=68109+56711=124820\)
\(b,=15444+4320=10764\)
\(c,1157-731+2373=426+2373=2799\)
\(d,=2085-46=2039\)
\(e,214.\left(72-45-27\right)=214.\left(-20\right)=-4200\)
\(g,=8327-1179=7148\)
\(h,=1225-1179=46\)
\(i,2304+1696=4000\)
\(k,=840+30+630=1500\)
\(m,456\left(123+321\right)-256=456.444-256=202464-256=202208\)
a) \(53.\left(-15\right)+\left(-15\right).47=\left(-15\right).\left(53+47\right)\)
\(=\left(-15\right).100\)
\(=-1500\)
Ta có:\(-43.92-46.27+46.41=-43.92-46.\left(27-41\right)\)
\(=-43.92-46.\left(-14\right)\)
\(=-43.92+46.14\)
\(=-43.92+92.7\)
\(=92.\left(7-43\right)\)
\(=92.\left(4-40\right)\)
\(=92.4-92.40\)
\(=368-3680\)
\(=-3312\)
bài 1 :
-72.(15-49)+15.(-56+72)
= -72.(-34) + 15.16
= 2448 + 240
= 2688
bài 2 :
-2x-8=-72
=> -2x = -72 + 8
=> -2x = -64
=> x = -64 : (-2)
=> x = 32 thuộc Z
vậy____
Bài 1:
-72 . ( 15 - 49 ) + 15 . ( -56 + 72 )
= -72 . ( -34 ) + 15 . 16
= 2448 + 240
= 2688
Bài 2:
-2x - 8 = -72
-2x = -72 + 8
-2x = -64
x = ( -64 ) : ( -2 )
x = 32
\(xy+14+2y+7x=-10\)
\(\Rightarrow xy+7x+7y=-24\)
\(\Rightarrow x\left(y+7\right)+7y=-24\)
\(\Rightarrow x\left(y+7\right)+7y+49=-24+49\)
\(\Rightarrow x\left(y+7\right)+7\left(y+7\right)=25\)
\(\Rightarrow\left(x+7\right)\left(y+7\right)=25\)
\(\Rightarrow\left(x+7\right);\left(y+7\right)\inƯ\left(25\right)=\left\{\pm1;\pm5;\pm25\right\}\)
Xét bảng
| x+7 | 1 | -1 | 5 | -5 | 25 | -25 |
| y+7 | 25 | -25 | 5 | -5 | 1 | -1 |
| x | 6 | -8 | -2 | -12 | 18 | -32 |
| y | 18 | -32 | -2 | -12 | 6 | -8 |
Vậy.........................
\(xy+x+y=2\)
\(\Rightarrow x\left(y+1\right)+\left(y+1\right)=2+1\)
\(\Rightarrow\left(x+1\right)\left(y+1\right)=3\)
\(\Rightarrow\left(x+1\right);\left(y+1\right)\inƯ\left(3\right)=\left\{\pm1;\pm3\right\}\)
Xét bảng
| x+1 | 1 | -1 | 3 | -3 |
| y+1 | 3 | -3 | 1 | -1 |
| x | 0 | -2 | 2 | -4 |
| y | 2 | -4 | 0 | -2 |
Vậy.....................................
\(xy-10+5x-3y=2\)
\(\Rightarrow xy-5x-3y=12\)
\(\Rightarrow x\left(y-5\right)-3y+15=12+15\)
\(\Rightarrow x\left(y-5\right)-3\left(y-5\right)=27\)
\(\Rightarrow\left(x-3\right)\left(y-5\right)=27\)
\(\Rightarrow\left(x-3\right);\left(y-5\right)\inƯ\left(27\right)=\left\{\pm1;\pm3;\pm9;\pm27\right\}\)
Tự xét bảng như trên
\(xy-1=3x+5y+4\)
\(\Rightarrow xy-3x-5y=4+1\)
\(\Rightarrow x\left(y-3\right)-5y+15=1+4+15\)
\(\Rightarrow x\left(y-3\right)-5\left(y-3\right)=20\)
\(\Rightarrow\left(x-5\right)\left(y-3\right)=20\)
\(\Rightarrow\left(x-5\right)\left(y-3\right)\inƯ\left(20\right)=\left\{\pm1;\pm2;\pm4;\pm5;\pm10;\pm20\right\}\)
Xét bảng
| x-5 | 1 | -1 | 2 | -2 | 4 | -4 | 5 | -5 | 10 | -10 | 20 | -20 |
| y-3 | 20 | -20 | 10 | -10 | 5 | -5 | 4 | -4 | 2 | -2 | 1 | -1 |
| x | 6 | 4 | 7 | 3 | 9 | 1 | 10 | 0 | 15 | -5 | 25 | -15 |
| y | 23. | -17 | 13 | -7 | 8 | -2 | 7 | -1 | 5 | 1 | 4 | 2 |
Vậy......................................
Trả lời trước 2 bài nha!
a)-12. (x-5)+7. (3-x)=5 \(\Leftrightarrow\)60-12x+21-7x=5 \(\Leftrightarrow\)81-5 = 19x \(\Leftrightarrow\)76 = 19x \(\Leftrightarrow\)x=4
b) 30. (x+2)-6.(x-5)=100+24x \(\Leftrightarrow\)30x + 60 -6x +30 =100+24x\(\Leftrightarrow\) 24x +90 =100+24x \(\Leftrightarrow\)24x-24x =100-90\(\Leftrightarrow\)x.0 = 10 ( Vô lí ) \(\Leftrightarrow\)ko có giá trị nào của x thỏa mãn.
c) 10-3(x-1)=9+x \(\Leftrightarrow\)10-3x+3 =9+x \(\Leftrightarrow\)13-9 = 3x+x \(\Leftrightarrow\)x=1
d)x.(x+2)=O \(\Leftrightarrow\orbr{\begin{cases}x=0\\x+2=0\Leftrightarrow x=-2\end{cases}}\)
e)(x+1).(x-2)=O \(\Leftrightarrow\orbr{\begin{cases}x+1=0\\x-2=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-1\\x=2\end{cases}}\)
f)(x-1).(2y-3)=13=1.13=13.1
+ \(\hept{\begin{cases}x-1=1\\2y-3=13\end{cases}}\Leftrightarrow\hept{\begin{cases}x=2\\y=8\end{cases}}\)
+\(\hept{\begin{cases}x-1=13\\2y-3=1\end{cases}}\Leftrightarrow\hept{\begin{cases}x=14\\y=2\end{cases}}\)
g)(x-3).(3y-2)=-55=-1.55=1.-55=55.-1=-55.1=-11.5=11.-5=5.-11=-5.11
rồi lm tương tự ý trên!
h)x-xy+y=4 \(\Leftrightarrow\)(x-1) - y(x-1)=3 \(\Leftrightarrow\)(x-1)(1-y) =3 =1.3=3.1=-1.-3=-3.-1
tương tự nhé!
i) (2x 4)² - 15 = -(2017)° - (-2). (-5) ( mk ko hiểu 2x 4 là sao)
j) (-3).(x-2)~3= (-10²) : (-2)² - 1. ~3 là sao??
a, (-72).(15 - 49) + 15.(-56 + 72)
= -72 . 15 + 72.49 - 15.56 + 15.72
= (-72.15 + 15.72) + (72.49 - 15.56)
= 3528 - 84
= 2688
1b, 1532 + (-186) + (-1432) + (-14) + 123
= (1532 - 1432) - (186 + 14) + 123
= 100 - 200 + 123
= 223 - 200
= 23