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1) (- 2) . (- 7) . (- 5)=-70
2) 15 – 22 + ( - 17)=-24
3) 25. (- 4) – 20. (- 5)=0
4) 185 – (49 + 185)=-49
5) ( -19 ) . (- 13) + 13 . (-29)=-130
6)79 . 23 + 21 . 23 =2300
7) 2. ( 6 . 42 – 85 : 5)=470
8) (-5) .8 . (-2) . 3=240
9) 200 +32 –( 50 +32 )=150
10) 3 . (-2).2 + 4 . (-5) +20=-12
(những bài như thế này thì chỉ cần bấm máy tính là ra thôi bạn nhé)
Chúc bạn học tốt!
a/ \(\left(-19\right)+5+\left(-8\right)+19+\left(-3\right).\left(-2\right)^3\)
\(\left(-19\right)+5+\left(-8\right)+19+\left(-3\right).\left(-8\right)\)
\(\left(-19\right)+5+\left(-8\right)+19+24\)
\(\left(-14\right)+11+24\)
\(\left(-3\right)+24=21\)
b/ \(\left(-5\right)^3-\left(3^3+4\right).\left(-2\right)+\left(3-27\right):4\)
\(\left(-125\right)-\left(27+4\right).\left(-2\right)+\left(3-27\right):4\)
\(\left(-125\right)-\left(31\right).\left(-2\right)+\left(-24\right):\text{4}\)
\(\left(-125\right)-\left(-62\right)+\left(-6\right)\)
\(\left(-63\right)+\left(-6\right)=-69\)
c/ \(\left[504-\left(5^2.8+70\right):3^2+6\right]:\left(-20\right)\)
\(\left[504-\left(25.8+70\right):9+6\right]:\left(-20\right)\)
\(\left[504-270:9+6\right]:\left(-20\right)\)
\(\left[504-30+6\right]:\left(-20\right)\)
\(480:\left(-20\right)=-24\)
d/ \(\left(-7\right)-\left[\left(-19\right)+21\right].\left(-3\right)-\left[32+\left(-7\right)\right]\)
\(\left(-7\right)-2.\left(-3\right)-25\)
\(\left(-7\right)-\left(-6\right)-25\)
\(\left(-1\right)-25=-26\)
\(\)
1)\(79-5\left(11-x\right)=34\)
\(\Rightarrow79-55+5x=34\)
\(\Rightarrow24+5x=34\)
\(\Rightarrow5x=-10\)
\(\Rightarrow x=-2\)
Vậy \(x=-2\)
2)\(32+2\left(7-x\right)=40\)
\(\Rightarrow32+14-2x=40\)
\(\Rightarrow46-2x=40\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
Vậy \(x=3\)
3)\(\left(166-2x\right).8^9=2.8^{11}\)
\(\Rightarrow\left(83-x\right).2.8^9=2.8^{11}\)
\(\Rightarrow83-x=8^3\)
\(\Rightarrow83-x=512\)
\(\Rightarrow x=-429\)
Vậy \(x=-429\)
4)\(5^2.x-2^3.x=51\)
\(\Rightarrow x\left(5^2-2^3\right)=51\)
\(\Rightarrow x\left(25-8\right)=51\)
\(\Rightarrow17x=51\)
\(\Rightarrow x=3\)
Vậy \(x=3\)
5)\(3^x+4.3^x=5.3^7\)
\(\Rightarrow3^x\left(1+4\right)=5.3^7\)
\(\Rightarrow5.3^x=5.3^7\)
\(\Rightarrow3^x=3^7\)
\(\Rightarrow x=7\)
Vậy \(x=7\)
6)\(7.2^x-2^x=6.32\)
\(\Rightarrow2^x\left(7-1\right)=6.2^5\)
\(\Rightarrow6.2^x=6.2^5\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
Vậy \(x=5\)
7)\(15^{3-x}=225\)
\(\Rightarrow15^{3-x}=15^2\)
\(\Rightarrow3-x=2\)
\(\Rightarrow x=1\)
Vậy \(x=1\)
8)\(4.5^x-3=97\)
\(\Rightarrow4.5^x=100\)
\(\Rightarrow5^x=25\)
\(\Rightarrow5^x=5^2\)
\(\Rightarrow x=2\)
Vậy \(x=2\)
9)\(171-3.2^x=123\)
\(\Rightarrow3.2^x=48\)
\(\Rightarrow2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
Vậy \(x=4\)
10)\(180-4.x^5=32\)
\(\Rightarrow4.x^5=148\)
\(\Rightarrow x^5=37\)//Đề có lỗi không ???
Bài 1: Thực hiện phép tính
a) 165 - [ 120 - ( 9 - 4 )2 ]
b) 32 : { 160 : [ 300 - ( 175 + 21 . 5 ) ] }
c) 6 . 52 - 32 : 24 + 32
d) 42 .37 - 42 . 33 + 24
Bài làm:
a) 165 - [ 120 - ( 9 - 4 )2 ]
= 165 - [ 120 - 52 ]
= 165 - [ 120 - 25 ]
= 165 - 95
= 70.
b) 32 : { 160 : [ 300 - ( 175 + 21 . 5 ) ] }
= 32 : { 160 : [ 300 - ( 175 + 105) ] }
= 32 : { 160 : [ 300 - 280 ] }
= 32 : { 160 : 20 }
= 32 : 8
= 4.
c) 6 . 52 - 32 : 24 + 32
= 6 . 25 - 32 : 16 + 9
= 150 - 2 + 9
= 148 + 9
= 157.
d) 42 .37 - 42 . 33 + 24
= 16. ( 37 - 33)
= 16 . 4
= 64.
Bài 2: Tìm số tự nhiên x, biết:
a) 91-5 . ( 5 + x ) = 61
b) ( x + 34 ) - 40 = 28
c) 3 . ( x -2 ) + 150 = 240
d) 360 : ( x- 7) = 90
e) 2448 : [ 119 - ( x - 6) ] = 24.
Bài làm:
a) 91-5 . ( 5 + x ) = 61
5 . ( 5 + x) = 91 - 61
5. ( 5+ x) = 30
5 +x = 30 : 5
5 +x = 6
x = 6 - 5
x = 1.
b) ( x + 34 ) - 40 = 28
x+ 34 = 40 + 28
x+ 34 = 68
x = 68 - 34
x = 34.
c) 3 . ( x - 2 ) + 150 = 240
3 . ( x - 2 ) = 240 - 150
3 . ( x - 2 ) = 90
x - 2 = 90 : 3
x - 2 = 30
x = 30 + 2
x = 32.
d) 360 : ( x - 7 ) = 90
x - 7 = 360 : 90
x - 7 = 4
x = 4 + 7
x = 11.
e) 2448 : [ 119 - ( x - 6 ) ] = 24
[ 119 - ( x - 6 ) ] = 2448 : 24
[ 119 - ( x - 6 ) ] = 102
x - 6 = 119 + 102
x - 6 = 221
x = 221 + 6
x = 227.
********************************Chúc bạn học tốt***********************************
a) 57 . 53 : 510 = 510 : 510 = 1
b) 24 : 23 . 27 = 2 . 27 = 28
c) 93 : 33 . 272 = ( 32 ) 3 : 33 . ( 33 ) 2 = 36 : 33 . 36 = 33 . 36 = 39
d) 25 . 13 - 25 . 5 = 25 . ( 13 - 5 ) = 25 . 8 = 25 . 23 = 28
e) \(\frac{4^6.8^3}{4^8}=\frac{\left(2^2\right)^6.\left(2^3\right)^3}{\left(2^2\right)^8}=\frac{2^{12}.2^9}{2^{16}}=\frac{2^{21}}{2^{16}}=2^5\)
a) \(79.2^3+21.2^3\)
\(=\left(79+21\right).2^3=100.8\)
= 800
b) \(2.\left(6.4^2-85:5\right)\)
\(=2.\left(96-17\right)=2.79\)
= 158
c) (- 5) . 8 . (- 2) . 3
= \(\left[\left(-5\right).\left(-2\right)\right].\left(8.3\right)\)
= 10 . 24 = 240
d) 200 + 32 - (50 + 32)
= 200 + 32 - 50 - 32 (quy tắc mở ngoặc đổi dấu)
= 200 + (32 - 32) - 50
= 200 - 50 = 150
e) 3 . \(\left(-2\right)^2\) + 4 . (- 5) + 20
= 3 . 4 + 4 .(- 5) + 20
= 4 . (-2) + 20
= - 8 + 20 = 12
Chúc học tốt!!
a) 79. 23 + 21 . 23
= 79 . 8 + 21 . 8
= ( 79 + 21 ) . 8
= 100 . 8
= 800
b) 2. ( 6 . 42 - 85 : 5 )
= 2 . ( 6 . 16 - 17 )
= 2 . ( 96 - 17 )
= 2 . 17
= 34
c) (-5) . 8 . (-2) . 30
= (-40) . (-2) . 3
= 80 . 3
= 240
d) 200 + 32 - ( 50 + 32 )
= 232 - 82
= 150
e) 3. (-2)2 + 4. (-5) + 20
= 3. (-4) + 4 . ( -5) + 20
= (-12 ) + (-20) + 20
= (-12) + 0
= (-12)